• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Applied Mathematical Analysis of Fluid Mechanics

Research Project

Project/Area Number 09640227
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 解析学
Research InstitutionMeiji University

Principal Investigator

MORIMOTO Hiroko  School of Science and Technology Professor, 理工学部, 教授 (50061974)

Co-Investigator(Kenkyū-buntansha) SAITO Norikazu  School pf Science and Technology Assistant, 理工学部, 助手
KATURADA Masashi  School of Science and Technology Lecturer, 理工学部, 教授 (80224484)
KONNO Reiji  School of Science and Technology Professor, 理工学部, 教授 (20061921)
FUJITA Hiroshi  School of Science and Technology Professor, 理工学部, 教授 (80011427)
斎藤 宣一  明治大学, 理工学部, 助手
阿原 一志  明治大学, 理工学部, 講師 (80247147)
服部 晶夫  明治大学, 理工学部, 教授 (80011469)
Project Period (FY) 1997 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 1998: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1997: ¥1,800,000 (Direct Cost: ¥1,800,000)
KeywordsNavier-Stokes equations / Boussinesq equations / stationary solutions / general outflow condition / ナヴィエストークス方程式 / ナヴィエ・ストークス方程式 / ブシネスク方程式
Research Abstract

The existence of solutions to the stationary Navier-Stokes equations is known, in general context, only under the stringent outflow condition or for small Raynolds number. We studied the existence of solutions to the stationary Navier-Stokes equations and of the Boussinesq equations under general outflow condition. We obtained two kinds of results. For arbitrary space dimension and for the boundary value of constant p times gradient of harmonic function, the existence of solution for the above equations is shown except for at most discrete countable case of p. It is to be noted that p can be arbitrary large.
For two dimensional case, under the assumption of symmetry, Amick showed the exis tence of solutions. Fujita obtained the concrete construction of the solenoidal symmetric extension of the boundary value in this case. Using this method, Morimoto and Fujita obtained the existence of solutions to the stationary Navier-Stokes equations in a tube-like domain with inflow and outflow.

Report

(3 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • Research Products

    (37 results)

All Other

All Publications (37 results)

  • [Publications] 森本浩子: "Note on stationary Boussinesq equations in a bounded domain under general outflow condition." Proceedings of NSEC. 6. 183-193 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Morimoto, Hiroko with S.Ukai.: "Perturbation of the Boussinesq flow in an annular domain with general outflow condition." Pitmann Research Series. 388. 67-75 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 森本浩子: "General outflow condition for Navier-Stokes flow," Lecture Note in Numerical and Applied Analysis. 16. 209-224 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Morimoto, Hiroko with N.Ishimura: "Remarks on the blow-up criterion for 3D Boussinesq equations" M^3AS9(9). to appear. (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 藤田宏: "On stationary solutions to Navier-Stokes equation in symmetric plane domains under general outflow condition" Pitmann Research Series. 388. 16-30 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 今野礼二: "Growth estimate of generalized eigenfunctions of △ on two dimensional manifolds." 明治大学理工学部研究報告. 19. 65-75 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Fujita, H.Morimoto and H.Okamoto: "Stability analysis of the Navier-Stokes flows in annuli" Mathematical Methods in the Applied Sciences. vol.20. 959-978 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Fujita and H.Morimoto: "A remark on the existence of the Navier-Stokes flow with non-vanishing outflow condition" Gakuto International Series Mathematical Science and Applications. Vol.10. 53-61 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Morimoto: "Note on stationary Boussinesq equations in a bounded domain under general outflow condition" Proceedings of NSEC6, Ed.Amann, Galdi, Pileckas, Sol-lonikov. 183-193 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Morimoto and S.Ukai: "Perturbation of the Boussinesq flow in an annular domain with general outflow condition" Navier-Stokes Equations : theory and numerical meth-ods, Ed.R.Salvi, Pitmann Research Series 388. 67-75 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Morimoto: "General outflow condition for Navier-Stokes flow" Lecture Note in Nu-merical and Applied Analysis 16, Recent topics on mathematical theory of viscous incompressible fluid. 209-224 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Morimoto and N.Ishimura: "Remarks on the blow-up criterion for 3D Boussinesq equations" (to appear M^3AS9(9). (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Fujita: "On stationary solutions to Navier-Stokes equation in symmetric plane do-mains under general outflow condition" Navier-Stokes Equations : theory and numer-ical methods, Ed.R.Salvi, Pitmann Research Series 388. 16-30 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] R.Konno: "Growth estimate of generalized eigenfunctions of DELTA on two dimensional manifolds" Research Reports School of Science and Technology Meiji University. No.19. 65-75 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Katurada: "A mathematical study of the charge simulation method using conformal mappings" Memoirs of the Institut of Science and Technology Meiji University. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Fujita, M.Fukuhara and N.Saito: "On the rate of convergence in domain de-composition methods" Proceedings of the third China-Japan seminar on numerical mathematic.30-43 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 森本浩子: "Note on stationary Boussinesq equations in a bounded domain under general outflow condition." Proceedings of NSEC. 6. 183-193 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 森本浩子・鵜飼正二: "Perturbation of the Boussinesq flow in an annular domain with general outflow condition." Pitmann Research Series. 388. 67-75 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 森本浩子: "General outflow condition for Navier-Stokes flow" Lecture Note in Numerical and Applied Analysis. 16. 209-224 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 森本浩子・石村直之: "Remarks on the blow-up cricerion for 3D Boussinesq equations" M^3AS9(9). (to appear). (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] 藤田宏: "On stationary solutions to Xavier-Stokes equation in symmetric plane domains under general outflow condition" Pitmann Research Series. 388. 16-30 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 今野礼二: "Growth estimate of generalized eigenfunctions of Δ on two dimensional manifolds." 明治大学理工学部研究報告. 19. 65-75 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] N.Saito: "On the shape of domains and the speed of convergence in the certain DDM for the Stokes equation" Abstracts of 4th Japan-China Sem.on Numer.Math.25-28 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Morimoto: "Perturbation of the Boussinesq flow in an annular domain with general outflow condition" Pitman Research Notes in Mathematics Series. 388. 66-75 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Morimoto: "General outflow condition for Naveier-Stokes flow" Kinokuniya Lec.Note in Numer.Appl.Anal.16. 209-224 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 森本浩子: "Stationary solultions for the Navier-Stokes equations and the Boussinesg equations under general outflow condition" 京都大学数理解析研究所講究録. 1009. 100-104 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] H. Fujita, H. MORIMOTO, H. okamoto: "Stability analysis of the Navier-Stokes flow in annuli" Mathematical Methods in the Applied Sciences. 20. 959-978 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 森本浩子: "円環領域におけるNavier-Stokes方程式の一般流速条件のもとでの境界値問題への注意" 明治大学科学技術研究所紀要. 35. 95-102 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] H. Fujita, H. MORIMOTO: "A remark on the existence of the Navier-Stokes flow with non-vanishining outflow condition" GAKUTO Int. Ser. Math, Sci. Appl.10. 53-61 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] H. MORIMOTO: "Note on stationary Boussinesq equations ina bounded domain under general outflow condition" Proc. of NSEC 6. (to appear).

    • Related Report
      1997 Annual Research Report
  • [Publications] H. MORIMOTO, S. Ukai: "Perturbation of the Boussinesq flow in an annular domain with general outflow condition" Proc. of International Conference on Navioer-Stokes Equations : Theory and Numerial Methods. (to appear).

    • Related Report
      1997 Annual Research Report
  • [Publications] H. Kawarada, H. Fujita H. Kawarada: "Variational Inequalities for the Navier-Stokes flow coupled with potentional flow through porous medic" Domain Decomposition Methods in Sciences and Engineering (eds Growinski et al). 403-410 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] H. Fujita, N. Saito: "An analytical study of optimal speed of convergence of iterations in DDM under certain shape assumptions of domains" Computational Sciences for the 21st Century (eds Lions et al). 139-148 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] H. Fujita: "On stationary solutions to Navier-Stokes equations in symmetric plane domains under general ontflow condition" Proc. International Conference on Navier-Stokes Equations : Theory and Numerial Methods. (to appear).

    • Related Report
      1997 Annual Research Report
  • [Publications] H. Fujita, H. Kawarada: "Variational Inequalities for the Stokes equations with boundary conditions of frictions type" Recent Developments in Domain Decompositions Methods and Flow Problems, GAKUO Inter. Ser. Math. Sci. Appl.11(to appear).

    • Related Report
      1997 Annual Research Report
  • [Publications] 服部晶夫: "4-dimensional C-symplectic S -manifolds with non-empty fived point set need not be C-Hamiltonian" Proc. Workshop Geometry and Homotopy, 1997, Warsaw. (to appear).

    • Related Report
      1997 Annual Research Report
  • [Publications] 服部晶夫: "Almost toric manifolds and positive line boundles" Proc. Workshop Geometry and Homotopy, 1997, Warsaw. (to appear).

    • Related Report
      1997 Annual Research Report

URL: 

Published: 1997-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi