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Analysis on blowup phenomena in nonlinear parabolic systems

Research Project

Project/Area Number 26287021
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypePartial Multi-year Fund
Section一般
Research Field Mathematical analysis
Research InstitutionTokyo Gakugei University

Principal Investigator

MIZOGUCHI Noriko  東京学芸大学, 教育学部, 准教授 (00251570)

Co-Investigator(Kenkyū-buntansha) 高田 了  九州大学, 数理学研究院, 准教授 (50713236)
仙葉 隆  福岡大学, 理学部, 教授 (30196985)
Research Collaborator Sverak Vladimir  
Souplet Philippe  
Project Period (FY) 2014-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥15,080,000 (Direct Cost: ¥11,600,000、Indirect Cost: ¥3,480,000)
Fiscal Year 2018: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2017: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2016: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2015: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2014: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Keywords爆発 / 放物型 / 走化性 / type II / 走化性方程式系 / 特異性 / 非線形 / 放物型方程式系 / 漸近挙動 / 流体 / 関数方程式論
Outline of Final Research Achievements

We considered the blowup problem of a parabolic-parabolic chemotaxis system, which was introduced as a model of aggregation of bacteria. It was too difficult to study blowup of solutions of the system, and there have been only a few results for several decades. In this study, we proved essential results on the existence of blowup solutions and on blowup type of the system including the case of degenerate diffusion.

Academic Significance and Societal Importance of the Research Achievements

放物型―放物型走化性方程式系は生物学におけるバクテリアの集中現象を記述するモデルとして1970年にKellerとSegelによって提唱された。また、高次元で退化した拡散項をもつ場合は宇宙物理学への応用も知られている。集中現象は数学的には解の爆発と定義される。放物型―放物型走化性方程式系の解の爆発を数学的に扱うのが困難であったので放物型―楕円型に単純化された方程式系でしか研究されて来なかったが、本研究では本来の放物型―放物型方程式系の解の爆発を数学的に研究し成果をあげた。

Report

(6 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Annual Research Report
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • 2014 Annual Research Report

Research Products

(88 results)

All 2019 2018 2017 2016 2015 2014

All Journal Article Presentation

  • [Journal Article] Determination of blowup type in the parabolic-parabolic Keller-Segel system2019

    • Author(s)
      N. Mizoguchi
    • Journal Title

      Math. Ann.

      Volume: 印刷中

    • DOI

      10.1007/s00208-018-1772-y

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Time periodic and almost time periodic solutions to rotating stratified fluids subject to large forces2019

    • Author(s)
      Hieber Matthias、Mahalov Alex、Takada Ryo
    • Journal Title

      J. Differential Equations

      Volume: 266 Pages: 977-1002

    • DOI

      10.1016/j.jde.2018.07.067

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Strongly stratified limit for the 3D inviscid Boussinesq equations2019

    • Author(s)
      Takada Ryo
    • Journal Title

      Arch.Rational Mech. Anal.

      Volume: 232 Pages: 1475-1503

    • DOI

      10.1007/s00205-018-01347-4

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global solutions for the incompressible rotating stably stratified fluids2017

    • Author(s)
      Tsukasa Iwabuchi, Alex Mahalov, Ryo Takada
    • Journal Title

      Mathematische Nachrichten

      Volume: 290

    • DOI

      10.1002/mana.201500385

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Dispersive estimates for the stably stratified Boussinesq equations2017

    • Author(s)
      Sanghyuk Lee, Ryo Takada
    • Journal Title

      Indiana University Mathematics Journal

      Volume: 66

    • DOI

      10.1512/iumj.2017.66.6179

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Blow-up behavior of solutions to a degenerate parabolic-parabolic Keller-Segel system.2017

    • Author(s)
      K. Ishige, Ph. Laurencot, N. Mizoguchi
    • Journal Title

      Mathematische Annalen

      Volume: - Pages: 461-499

    • DOI

      10.1007/s00208-016-1400-7

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Type II blowup in the doubly parabolic Keller-Segel system in two dimensions2016

    • Author(s)
      Noriko Mizoguchi
    • Journal Title

      J. Functional Analysis

      Volume: 271

    • DOI

      10.1016/j.jfa.2016.09.016

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Long time existence of classical solutions for the 3D incompressible rotating Euler equations2016

    • Author(s)
      Ryo Takada
    • Journal Title

      J. Math. Soc. Japan

      Volume: 68 Issue: 2 Pages: 579-608

    • DOI

      10.2969/jmsj/06820579

    • NAID

      130006887147

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Stability of time periodic solutions for the rotating Navier-Stokes equations2016

    • Author(s)
      T. Iwabuchi, A. Mahalov, R. Takada
    • Journal Title

      Recent developments of mathematical fluid mechanics, Adv. Math. Fluid Mech

      Volume: - Pages: 321-335

    • DOI

      10.1007/978-3-0348-0939-9_17

    • Related Report
      2016 Annual Research Report 2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Remarks on lower bounds for the maximal existence time to the 3D rotating Euler equations2016

    • Author(s)
      Ryo Takada
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B56

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity2016

    • Author(s)
      K. Fujie and T. Senba
    • Journal Title

      Discrete and Continuous Dynamical Systems. Series B. A Journal Bridging Mathematics and Sciences

      Volume: 21 Pages: 81-102

    • DOI

      10.3934/dcdsb.2016.21.81

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Remarks on lower bounds for the maximal existence time to the 3D rotating Euler equations2016

    • Author(s)
      R. Takada
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: -

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Long time existence of classical solutions for the 3D incompressible rotating Euler equations2016

    • Author(s)
      R. Takada
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 68 Pages: 579-608

    • NAID

      130006887147

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Finite time blowup for the parabolic-parabolic Keller-Segel system with critical diffusion2015

    • Author(s)
      Ph. Laurencot, N. Mizoguchi
    • Journal Title

      Ann. Inst. H. Poincare, Analyse non lineaire

      Volume: -

    • DOI

      10.1016/j.anihpc.2015.11.002

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Dispersive Effect of the Coriolis Force and the Local Well-Posedness for the Navier-Stokes Equations in the Rotational Framework2015

    • Author(s)
      Tsukasa Iwabuchi, Ryo Takada
    • Journal Title

      FE

      Volume: 58 Issue: 3 Pages: 365-385

    • DOI

      10.1619/fesi.58.365

    • NAID

      130005117037

    • ISSN
      0532-8721
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Nondegeneracy of blow-up points for the parabolic Keller-Segel system2014

    • Author(s)
      N. Mizoguchi and P. Souplet
    • Journal Title

      Ann. Inst. H. Poincar\'e, Analyse non lin\'eaire

      Volume: 31 Pages: 851-875

    • DOI

      10.1016/j.anihpc.2013.07.007

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Strichartz estimates for the Euler equations in the rotational framework2014

    • Author(s)
      Youngwoo Koh, Sanghyuk Lee, Ryo Takada,
    • Journal Title

      J. Differential Equations

      Volume: 256

    • DOI

      10.1016/j.jde.2013.09.017

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 4.Existence of periodic solutions and their asymptotic stability to the Navier-Stokes equations with the Coriolis force2014

    • Author(s)
      Kozono,H., Mashiko,Y., Takada,R.
    • Journal Title

      J. Evol. Eq.

      Volume: 14 Pages: 565-601

    • DOI

      10.1007/s00028-014-0228-4

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dispersive estimates for the Navier-Stokes equations in the rotational framework2014

    • Author(s)
      Youngwoo Koh, Sanghyuk Lee and Ryo Takada
    • Journal Title

      Adv. Differential Equations

      Volume: 19

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global well-posedness and ill-posedness for the Navier-Stokes equations with the Coriolis force in function spaces of Besov type2014

    • Author(s)
      Tsukasa Iwabuchi, Ryo Takada
    • Journal Title

      J. Funct. Anal.

      Volume: 267 Pages: 1321-1337

    • DOI

      10.1016/j.jfa.2014.05.022

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On a weak attractor of a class of PDEs with degenerate diffusion and chemotaxis2014

    • Author(s)
      Messoud Efendiev, Takasi Senba, Anna Zhigun
    • Journal Title

      J. Math. Soc. Japan

      Volume: 66 Issue: 4 Pages: 1133-1153

    • DOI

      10.2969/jmsj/06641133

    • NAID

      130004705997

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access
  • [Presentation] Finite-time blowup in a Cauchy problem of parabolic-parabolic chemotaxis system2018

    • Author(s)
      溝口紀子
    • Organizer
      京都大学NLPDEセミナー
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Strongly stratified limit for the 3D inviscid Boussinesq equations2018

    • Author(s)
      高田 了
    • Organizer
      九州関数方程式セミナー
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Strongly stratified limit for the 3D inviscid Boussinesq equations2018

    • Author(s)
      R. Takada
    • Organizer
      Workshop on Mathematical Fluid Dynamics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Strongly stratified limit for the 3D inviscid Boussinesq equations2018

    • Author(s)
      R. Takada
    • Organizer
      Mathematical Analysis in Fluid and Gas Dynamics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Strongly stratified limit for the 3D inviscid Boussinesq equations2018

    • Author(s)
      高田 了
    • Organizer
      九州大学解析セミナー
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Strongly stratified limit for the 3D inviscid Boussinesq equations2018

    • Author(s)
      R. Takada
    • Organizer
      KYUSHU UNIV.-- POSTECH -- SJTU Joint Workshop on PDEs and Related Topics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Strongly stratified limit for the 3D inviscid Boussinesq equations2018

    • Author(s)
      高田 了
    • Organizer
      大分微分方程式研究集会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Strongly stratified limit for the 3D inviscid Boussinesq equations2018

    • Author(s)
      高田 了
    • Organizer
      日本数学会2018年度秋季総合分科会 函数方程式論分科会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Strongly stratified limit for the 3D inviscid Boussinesq equations2018

    • Author(s)
      R. Takada
    • Organizer
      The 16th Linear and Nonlinear Waves
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Strongly stratified limit for the 3D inviscid Boussinesq equations2018

    • Author(s)
      R. Takada
    • Organizer
      MTH Seminar, Ulsan National Institute of Science and Technology
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Asymptotic limit of strong stratification for the 3D inviscid Boussinesq equations2018

    • Author(s)
      R. Takada
    • Organizer
      Critical exponent and nonlinear evolution equations 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Asymptotic limit of strong stratification for the 3D inviscid Boussinesq equations2018

    • Author(s)
      高田 了
    • Organizer
      第11回名古屋微分方程式研究集会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Strongly stratified limit for the 3D inviscid Boussinesq equations2018

    • Author(s)
      R. Takada
    • Organizer
      Maximal regularity and nonlinear PDE
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Strongly stratified limit for the 3D inviscid Boussinesq equations2018

    • Author(s)
      高田 了
    • Organizer
      若手による流体力学の基礎方程式研究集会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Strongly stratified limit for the 3D inviscid Boussinesq equations2018

    • Author(s)
      Ryo Takada
    • Organizer
      The 15th Japanese-German International Workshop on Mathematical Fluid Dynamics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Strongly stratified limit for the 3D inviscid Boussinesq equations2018

    • Author(s)
      高田 了
    • Organizer
      金沢解析セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Finite-time blowup in a degenerate parabolic-parabolic Keller-Segel system2017

    • Author(s)
      Noriko Mizoguchi
    • Organizer
      PDE Seminar
    • Place of Presentation
      University of Minnesota, Minnesota, USA
    • Year and Date
      2017-02-08
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Time periodic initial value problem for rotating stably stratified fluids2017

    • Author(s)
      高田 了
    • Organizer
      九州関数方程式セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Time periodic initial value problem for rotating stably stratified fluids2017

    • Author(s)
      Ryo Takada
    • Organizer
      Geophysical Fluid Dynamics, Oberwolfach Meeting
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Time periodic initial value problem for rotating stably stratified fluids2017

    • Author(s)
      高田 了
    • Organizer
      京都大学 NLPDE セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Dispersive estimates for the stably stratified Boussinesq equations2017

    • Author(s)
      高田 了
    • Organizer
      熊本大学応用解析セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Time periodic initial value problem for rotating stably stratified fluids2017

    • Author(s)
      高田 了
    • Organizer
      名古屋微分方程式セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Dispersive estimates for the stably stratified Boussinesq equations2017

    • Author(s)
      Ryo Takada
    • Organizer
      Conference on PDEs and Applications to Physical and Biological Sciences
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Time periodic problem for rotating stably stratified fluids2017

    • Author(s)
      Ryo Takada
    • Organizer
      Ito Workshop on Partial Differential Equations
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dispersive estimates for rotating fluids and stably stratified fluids2017

    • Author(s)
      高田 了
    • Organizer
      日本数学会2017年度秋季総合分科会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Dispersive Estimates for the Stably Stratified Boussinesq Equations2017

    • Author(s)
      Ryo Takada
    • Organizer
      PDE seminar in Shanghai Jiao Tong University
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Global solutions for the rotating stably stratified fluids2017

    • Author(s)
      高田 了
    • Organizer
      広島微分方程式研究会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Global solutions for the stably stratified Boussinesq equations2017

    • Author(s)
      高田 了
    • Organizer
      早稲田大学 応用解析研究会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Time periodic problem for rotating stably stratified fluids2017

    • Author(s)
      高田 了
    • Organizer
      Mathematics and Phenomena in Miyazaki 2017
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Global solutions for the stably stratified Boussinesq equations2017

    • Author(s)
      高田 了
    • Organizer
      岡山確率論セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Time periodic problem for rotating stably stratified fluids2017

    • Author(s)
      高田 了
    • Organizer
      第7回室蘭非線形解析研究会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Dispersive estimates for the stably stratified Boussinesq equations2017

    • Author(s)
      Ryo Takada
    • Organizer
      2017 Taiwan-Japan Workshop on Dispersion, Navier Stokes, Kinetic, and Inverse Problems
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dispersive estimates for the stably stratified Boussinesq equations2016

    • Author(s)
      Ryo Takada
    • Organizer
      Oberseminar Analysis
    • Place of Presentation
      Heinrich-Heine Universitaet Duesseldorf, Duesseldorf, Germany
    • Year and Date
      2016-12-19
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dispersion estimates for the stably stratified fluids2016

    • Author(s)
      Ryo Takada
    • Organizer
      IRTG 1529 Mathematical Fluid Dynamics Seminar
    • Place of Presentation
      Technische Universitaet Darmstadt, Darmstadt, Germany
    • Year and Date
      2016-12-15
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Global solutions for the incompressible rotating stably stratified fluids2016

    • Author(s)
      Ryo Takada
    • Organizer
      The 13th Japanese-German International Workshop on Mathematical Fluid Dynamics
    • Place of Presentation
      Congress Center Darmstadtium, Darmstadt, Germany
    • Year and Date
      2016-11-30
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dispersive estimates for the stably stratified Boussinesq equations2016

    • Author(s)
      Ryo Takada
    • Organizer
      Harmonic Analysis and its Applications in Matsumoto 2016, summer
    • Place of Presentation
      信州大学 (長野県・松本市)
    • Year and Date
      2016-08-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dispersive estimates for the stably stratified Boussinesq equations2016

    • Author(s)
      Ryo Takada
    • Organizer
      The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Place of Presentation
      Hyatt Regency Orland, Florida, USA
    • Year and Date
      2016-07-01
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Global well-posedness for the rotating Navier-Stokes equations in function spaces of Besov type2016

    • Author(s)
      高田 了
    • Organizer
      岡山確率論セミナー
    • Place of Presentation
      岡山大学 (岡山県・岡山市)
    • Year and Date
      2016-05-27
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Finite-time blowup in the degenerate parabolic Keller-Segel system with critical diffusion2016

    • Author(s)
      Noriko Mizoguchi
    • Organizer
      Workshop on nonlinear partial differential equations and related topics.
    • Place of Presentation
      石川県文教会館 (石川県・金沢市)
    • Year and Date
      2016-05-09
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Nonexistence of type I blowup solutions to parabolic-parabolic Keller-Segel system2016

    • Author(s)
      N. Mizoguchi
    • Organizer
      Variational Problems and Nonlinear Partial Differential Equations 2016
    • Place of Presentation
      東京理科大学
    • Year and Date
      2016-03-23
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Dispersive estimates for the stably stratified Boussinesq equations2016

    • Author(s)
      R. Takada
    • Organizer
      The Navier-Stokes Equations and Related Topics -- In Honor of the 60th Birthday of Professor Reinhard Farwig --
    • Place of Presentation
      Nagoya University
    • Year and Date
      2016-03-07
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dispersive estimates for rotating fluids and stably stratified fluids I-- IV2016

    • Author(s)
      R. Takada
    • Organizer
      The 12th Japanese-German International Workshop on Mathematical Fluid Dynamics
    • Place of Presentation
      Waseda Unviersity
    • Year and Date
      2016-03-01
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Type II blowup in a parabolic-parabolic chemotaxis system2016

    • Author(s)
      N. Mizoguchi
    • Organizer
      PDE Seminar
    • Place of Presentation
      University of Minnesota,Minneapolis, USA
    • Year and Date
      2016-02-17
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dispersive estimates for the stably stratified Boussinesq equations2016

    • Author(s)
      高田了
    • Organizer
      松山解析セミナー
    • Place of Presentation
      愛媛大学
    • Year and Date
      2016-02-05
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Dispersive estimates for the stably stratified Boussinesq equations2016

    • Author(s)
      R. Takada
    • Organizer
      IRTG 1529 Mathematical Fluid Dynamics Seminar
    • Place of Presentation
      Technische Universitat Darmstadt, Germany
    • Year and Date
      2016-01-26
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dispersive estimates for the stably stratified Boussinesq equations2015

    • Author(s)
      R. Takada
    • Organizer
      偏微分方程式に付随する確率論的問題
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2015-12-09
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Dispersive estimates for the stably stratified Boussinesq equations2015

    • Author(s)
      高田了
    • Organizer
      非線形解析セミナー@大岡山
    • Place of Presentation
      東京工業大学
    • Year and Date
      2015-12-04
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Dispersive estimates for the stably stratified Boussinesq equations2015

    • Author(s)
      R. Takada
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2015
    • Place of Presentation
      Waseda University
    • Year and Date
      2015-11-27
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 安定成層流体に対する Boussinesq 方程式の時間大域的可解性2015

    • Author(s)
      高田 了
    • Organizer
      九州関数方程式セミナー
    • Place of Presentation
      福岡大学セミナーハウス
    • Year and Date
      2015-10-30
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] 非線形知覚関数を持つ走化性方程式系の解の挙動について2015

    • Author(s)
      仙葉隆
    • Organizer
      非線形現象の解析への応用としての発展方程式論の展 開
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2015-10-21
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Nonexistence of Type I Blowup Solutions to Parabolic-parabolic Keller-Segel System2015

    • Author(s)
      溝口紀子
    • Organizer
      日本数学会秋季総合分科会 函数方程式論分科会
    • Place of Presentation
      京都産業大学
    • Year and Date
      2015-09-13
    • Related Report
      2015 Annual Research Report
  • [Presentation] Type II blowup in the doubly parabolic Keller-Segel system in the two dimension2015

    • Author(s)
      Noriko Mizoguchi
    • Organizer
      日本数学会年会 函数方程式論分科会
    • Place of Presentation
      明治大学
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Annual Research Report
  • [Presentation] Finite-time blowup in the parabolic-parabolic Keller-Segel system2015

    • Author(s)
      Noriko Mizoguchi
    • Organizer
      PDE Seminar
    • Place of Presentation
      University of Minnesota, USA
    • Year and Date
      2015-02-11
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Long time existence of classical solutions to the 3D rotating Euler equations2015

    • Author(s)
      Ryo Takada
    • Organizer
      NLPDE セミナー
    • Place of Presentation
      京都大学
    • Year and Date
      2015-01-16
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 回転流体に現れる分散性の数学解析2014

    • Author(s)
      Ryo Takada
    • Organizer
      第77回分野横断セミナー
    • Place of Presentation
      東北大学 流体科学研究所
    • Year and Date
      2014-12-24
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Long time existence of classical solutions to the 3D rotating Euler equations2014

    • Author(s)
      Ryo Takada
    • Organizer
      微分方程式の総合的研究
    • Place of Presentation
      京都大学
    • Year and Date
      2014-12-20 – 2014-12-21
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Remarks on the Strichartz estimates for the rotating incompressible fluids2014

    • Author(s)
      Ryo Takada
    • Organizer
      Autumn School and Workshop on Mathematical Fluid Dynamics
    • Place of Presentation
      Bad Boll, Germany
    • Year and Date
      2014-10-27 – 2014-10-30
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Optimal criterion for finite-time blowup in Keller-Segel system2014

    • Author(s)
      Noriko Mizoguchi
    • Organizer
      Mathematical properties of solutions to models of chemotaxis
    • Place of Presentation
      University of Wroclaw, Poland
    • Year and Date
      2014-10-09
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Remarks on the Strichartz estimates for rotating incompressible fluids2014

    • Author(s)
      Ryo Takada
    • Organizer
      第8回 実解析と函数解析による微分方程式研究集会
    • Place of Presentation
      鳴子ホテル(宮城県大崎市)
    • Year and Date
      2014-10-03 – 2014-10-05
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] A new proof to finite-time blowup in the parabolic-parabolic Keller-Segel system2014

    • Author(s)
      Noriko Mizoguchi
    • Organizer
      日本数学会秋季総合分科会 函数方程式論分科会
    • Place of Presentation
      広島大学
    • Year and Date
      2014-09-25 – 2014-09-28
    • Related Report
      2014 Annual Research Report
  • [Presentation] Finite-time blowup for the parabolic-parabolic Keller-Segel system with critical diffusion2014

    • Author(s)
      Noriko Mizoguchi
    • Organizer
      日本数学会秋季総合分科会 函数方程式論分科会
    • Place of Presentation
      広島大学
    • Year and Date
      2014-09-25 – 2014-09-28
    • Related Report
      2014 Annual Research Report
  • [Presentation] Long time existence of classical solutions to the 3D rotating Euler equations2014

    • Author(s)
      Ryo Takada
    • Organizer
      熊本大学応用解析セミナー
    • Place of Presentation
      熊本大学
    • Year and Date
      2014-09-06
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Long time solvability for the 3D rotating Euler equations2014

    • Author(s)
      Ryo Takada
    • Organizer
      The 10th AIMS conference on Dynamical Systems, Differential Equations and Applications
    • Place of Presentation
      Madrid, Spain
    • Year and Date
      2014-07-07 – 2014-07-11
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Some properties of radial stationary solutions to a parabolic-elliptic system related to Keller-Segel system2014

    • Author(s)
      Takashi Senba
    • Organizer
      10th AIMS International Conference on Dynamical Systems, Differential Equations and Applications
    • Place of Presentation
      Madrid, Spain
    • Year and Date
      2014-07-07 – 2014-07-11
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Long time solvability of the 3D incompressible Euler equations with high-speed rotation2014

    • Author(s)
      Ryo Takada
    • Organizer
      Harmonic Analysis and Nonlinear Partial Differential Equations
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2014-06-30 – 2014-07-02
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Long time solvability for the 3D rotating Euler equations2014

    • Author(s)
      Ryo Takada
    • Organizer
      VORTICITY, ROTATION AND SYMMETRY (III) - Approaching Limiting Cases of Fluid Flows
    • Place of Presentation
      the Centre International de Rencontres Math\'{e}matiques, Luminy, Marseille, France
    • Year and Date
      2014-05-05 – 2014-05-09
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Strichartz estimates for incompressible rotating fluids2014

    • Author(s)
      Ryo Takada
    • Organizer
      調和解析駒場セミナー
    • Place of Presentation
      東京大学
    • Year and Date
      2014-04-19
    • Related Report
      2014 Annual Research Report
    • Invited

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Published: 2014-04-04   Modified: 2020-03-30  

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