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Matheamtical Analysis of conservation laws modeling fluids in porous media

Research Project

Project/Area Number 22540238
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Global analysis
Research InstitutionOsaka Electro-Communication University

Principal Investigator

ASAKURA Fumioki  大阪電気通信大学, 工学部, 教授 (20140238)

Research Collaborator CORLI Andrea  Department of Mathematics, University of Ferrara, Italy, Associate professor
TREVISA Konstantina  Department of Mathematics, University of Maryland, USA, Professor
Project Period (FY) 2010-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords偏微分方程式 / 双曲型保存則系 / 衝撃波 / エントロピー / 混合気体 / プラズマ気体 / サハの電離法則 / 非線形解析 / 流体力学 / 大域解 / 国際研究者交流 / 保存則 / 双曲系 / 多相流体 / Darcyの法則 / 気体力学 / 波面追跡法
Outline of Final Research Achievements

The purpose of this study is to understand discontinuous solutions of partial differential equations that come from secondary recovery techniques: injecting water and gas (air or CO2 ) for the extraction of petroleum in a oil reservoir which is contained in porous rock formations. Based on these mathematical studies, global behavior of shock waves in mixed gas and ionized gas is studied, where the construction and study of entropy functions play a crucial role.

Report

(6 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Annual Research Report
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (10 results)

All 2015 2013 2012 2010 Other

All Journal Article (5 results) (of which Peer Reviewed: 5 results) Presentation (5 results) (of which Invited: 1 results)

  • [Journal Article] Wave-Front Tracking for the Equations of Non-Isentropic Gas Dynamics2015

    • Author(s)
      ASAKURA, Fumioki and Corli, Andrea
    • Journal Title

      Annali di Matematica Pura ed Applicata

      Volume: 196 Issue: 2 Pages: 581-618

    • DOI

      10.1007/s10231-013-0390-2

    • Related Report
      2014 Annual Research Report 2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Wave-Front Tracking for the Equations of Non-Isentropic Gas Dynamics -- Basic Lemmas --2013

    • Author(s)
      F. Asakura
    • Journal Title

      Acta Mathematica Vietnamica

      Volume: 38 Issue: 4 Pages: 487-516

    • DOI

      10.1007/s40306-013-0030-3

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Wave-Front Tracking for the Equations of Non-Isentropic Gas Dynamics -- Basic Lemmas -- (査読済み)2013

    • Author(s)
      ASAKURA, Fumioki
    • Journal Title

      Acta Mathematica Vietnamica,

      Volume: 未定(近刊)

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global existence of solutions by path decomposition for a model of multiphase flow2013

    • Author(s)
      ASAKURA, Fumioki
    • Journal Title

      Quarterly of Applied Mathematics

      Volume: 71 Pages: 135-182

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Model Equation of Three-Phase Flow in Oil Reservoir Simulation2010

    • Author(s)
      F.Asakura
    • Journal Title

      Seminar Notes of Mathematical Science

      Volume: 13 Pages: 1-18

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] Steady Flow in Constant-Area Ducts with Friction2012

    • Author(s)
      ASAKURA, Fumioki
    • Organizer
      Seminar on Nonlinear Analysis at O-okayama
    • Place of Presentation
      東京工業大学大学院情報理工学研究科
    • Year and Date
      2012-01-20
    • Related Report
      2011 Annual Research Report
  • [Presentation] Path Decomposition Method Applied to the Equations of Polytropic Gas Dynamics2012

    • Author(s)
      ASAKURA Fumioki
    • Organizer
      Taiwwan-Japan Joint Conference on PDE and Analysis
    • Place of Presentation
      Taipei, Taiwan
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Stone-Marchesin Model Equation of Three -Phase Flow in Oil Reservoir Simulation2012

    • Author(s)
      ASAKURA, Fumioki
    • Organizer
      The 14th International Conference on Hyperbolic problems: Theory, Numerics and Applications
    • Place of Presentation
      Padova, Italy
    • Related Report
      2012 Annual Research Report
  • [Presentation] Stone-Marchesin model equations of three-phase flows in oil reservoir simulation2010

    • Author(s)
      F.Asakura
    • Organizer
      The 8^<th> Workshop on Linear and Nonlinear Waves
    • Place of Presentation
      大阪大学理学研究科(豊中)
    • Year and Date
      2010-09-12
    • Related Report
      2010 Annual Research Report
  • [Presentation] Movement of multiple reaction zones in porous media

    • Author(s)
      F. Asakura
    • Organizer
      非線形解析セミナー@大岡山
    • Place of Presentation
      東京工業大学 大学院情報理工学研究科
    • Related Report
      2013 Annual Research Report

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Published: 2010-08-23   Modified: 2019-07-29  

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