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1993 Fiscal Year Final Research Report Summary

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
KeywordsPhase transition / Free surface / Modeling / Signorini / Fuzzy model
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.

  • Research Products

    (19 results)

All Other

All Publications (19 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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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

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Published: 1995-03-27  

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