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Research on the modeling and analysis for phase transition

Research Project

Project/Area Number 04640210
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionChiba University

Principal Investigator

KAWARADA Hideo  Chiba Univ.Eng.Prof., 工学部, 教授 (90010793)

Co-Investigator(Kenkyū-buntansha) KOSHIGOE Hideyuki  Chiba Univ.Eng.Ass., 工学部, 助手 (70110294)
SAWAGURI Toshio  Chiba Univ.Eng.Lec., 工学部, 講師 (50009271)
KENMOCHI Nobuyuki  Chiba Univ.Education Prof., 教育学部, 教授 (00033887)
YANAGIHARA Niro  Chiba Univ.Sci.Prof., 理学部, 教授 (70009041)
Project Period (FY) 1992 – 1993
Project Status Completed (Fiscal Year 1993)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1993: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1992: ¥900,000 (Direct Cost: ¥900,000)
KeywordsPhase transition / Free surface / Modeling / Signorini / Fuzzy model / 相転位現象 / 自由境界問題 / 非線型変分不等式 / 高温超伝導 / カーン・ヒリアード方程式
Research Abstract

This project has continued for two years from 1992 to 1993. Many excellent results have been obtained by our group.
Main topics of our researches are the followings.
1. Development of numerical computation for solidification problems with moving surface and free boundary problems using the spectral method.
2. Development of analysis on phase field equations with constraints.
3. Development of modeling and analysis in nonlinear phenomena with Signorini's boundary.
4. Development of analysis for the stability of Fuzzy control systems.

Report

(3 results)
  • 1993 Annual Research Report   Final Research Report Summary
  • 1992 Annual Research Report
  • Research Products

    (34 results)

All Other

All Publications (34 results)

  • [Publications] T.Hanada: "Numerical Computation for Solidification Problems with Moving Surface." GAKUTO International Series Mathematical Sciences and Applications. 1. 17-38 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] H.Imai: "Numerical Computations of Free Boundary Problems Using the Spectral Method." GAKUTO International Series Mathematical Sciences and Applications. 1. 39-47 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] H.Kawahara: "The Numerical Method of Fluid Flow with Free Surface by Means of the ADM." GAKUTO International Series Mathematical Sciences and Applications. 1. 101-112 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] A.Sasamoto: "Numerical Simulation of the Flow in a Vessel with the Free Boundary and the Sliding Wall." GAKUTO International Series Mathematical Sciences and Applications. 1. 175-187 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] I.Ichihara: "Numerical Analysis of Free Boundary Problems Appearing in Iron and Steel Making Process." GAKUTO International Series Mathematical Sciences and Applications. 1. 261-280 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Shin Kawase: "Function Representation by Fuzzy Reasoning." IEICE Transactions on Fundamentals of Electronics,Communications and Computer Sciences. E77-A. 281-290 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Alain Damlamian: "Phase Field Equations with Constraints." GAKUTO International Series,Mathematical Sciences and Applications. 2. 391-404 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] N.Kenmochi: "Asymptotic stability for parabolic variational inequalities with hysteresis." (to appear). 59-70

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] N.Kenmochi: "On a class of variational inequalities with memory terms." Pitman Research Notes in Mathematics Series. 266. 164-175 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] N.Kenmochi: "Large time behaviour of a nonlinear system for phase separation." Pitman Research Notes in Mathematics Series. 249. 12-22 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] T.Hanada: "Numerical computation for solid-ification problems with moving surface" GAKUTO International Series Mathematical Sciences and Applications. 1. 17-38 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] H.Imai: "Numerical computations of free boundary problems using the spectral method" GAKUTO International Series 1. 39-47 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] H.Kawahara: "The numerical method of fluid flow with free surface by means of ADM." GAKUTO International Series 1. 101-112 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] A.Sasamoto: "Numerical simulation of flow in Vessel with the free boundary and the sliding wall" GAKUTO International Series 1. 175-187 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] I.Ichihara: "Numerical Analysis of free boundary problems appearing in iron and steel making process" GAKUTO International Series 1. 261-280 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] S.Kawase: "Function representation by Fuzzy process" IEICE Transactions on Fundamentals of Electronics, Comm.Comp.Sci.E77-A. 281-290 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] A.Damlamian: "Phase field equations with constraints" GAKUTO International Series 2 (to appear). 391-404 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] N.Kenmochi: "Asymptotis stability for parabolic variational inequalities with hysteresis."

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] N.Kenmochi: "On a class of variational inequalities with memory terms" Pitman Research Notes in Mathematics Series. 266. 164-175 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] T.Hanada: "Numerical Computation for Solidification Problems with Moving Surface." GAKUTO International Series Mathematical Sciences and Applications. 1. 17-38 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] H.Imai: "Numerical Computations of Free Boundary Problems Using the Spectral Method." GAKUTO International Series Mathematical Sciences and Applications. 1. 39-47 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] H.Kawahara: "The Numerical Method of Fluid Flow with Free Surface by Means of the ADM." GAKUTO International Series Mathematical Sciences and Applications. 1. 101-112 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] A.Sasamoto: "Numerical Simulation of the Flow in a Vessel with the Free Boundary and the Sliding Wall." GAKUTO International Series Mathematical Sciences and Applications. 1. 175-187 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] I.Ichihara: "Numerical Analysis of Free Boundary Problems Appearing in Iron and Steel Making Process." GAKUTO International Series Mathematical Sciences and Applications. 1. 261-280 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Shin Kawase: "Function Representation by Fuzzy Reasoning." IEICE Transactions on Fundamentals of Electronics,Communications and Computer Sciences. E77-A. 281-290 (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] Alain Damlamian: "Phase Field Equations with Constraints." GAKUTO International Series,Mathematical Sciences and Applications. 2. 391-404 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] N.Kenmochi: "Asymptotic stability for parabolic variational inequalities with hysteresis." (to appear). 59-70

    • Related Report
      1993 Annual Research Report
  • [Publications] N.Kenmochi: "On a class of variational inequalities with memory terms." Pitman Research Notes in Mathematics Series. 266. 164-175 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] N.Kenmochi: "Large time behaviour of a nonlinear system for phase separation." Pitman Research Notes in Mathematics Series. 249. 12-22 (1991)

    • Related Report
      1993 Annual Research Report
  • [Publications] 河原田 秀夫: "体積変化と接触点の運動を考慮したステファン問題の数値解析。" 数理解析研究所 講究録. 812. 56-66 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 河原田 秀夫: "性質の悪い形状設計問題へのファジィ理論の応用。" 情報処理学会研究報告. 92. 9-12 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 剱持 信幸: "Systems of Nonlinear Variational Inequalities Arising from Phase Transition Phenomena." 数理解析研究所 講究録. 812. 18-28 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 沢栗 利男: "不適切な問題に対する数値解法について。" 「MHD数値計算の基礎研究」講演論文集. 26-41 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 腰越 秀之: "The Behavior of Free Surfaces Appearing in Flow Problems." Free Boundary Problems in Fluid Flow with Applications.161-165 (1993)

    • Related Report
      1992 Annual Research Report

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Published: 1992-04-01   Modified: 2016-04-21  

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