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Research on the optimal control of free boundary

Research Project

Project/Area Number 01540170
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, Faculty of Engineering

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. Iec., 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) 1989 – 1990
Project Status Completed (Fiscal Year 1990)
Budget Amount *help
¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 1990: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1989: ¥800,000 (Direct Cost: ¥800,000)
KeywordsFree boundary / Optimal control / Plasma / Two-phase Stefan / Elastico-viscous fluid / Fuzzy model / ファジィモデル / 2相ステファン
Research Abstract

This project has obtained many excellent results, main topics of which are the following.
1. Development of analysis for optimal shape design problem in plasma.
2. Development of analysis on the shape optimization for multi-phase Stefan problem and the behavior of the free surface in the fluid.
3. Development of analysis for the stability of Fuzzy control systems.

Report

(3 results)
  • 1990 Annual Research Report   Final Research Report Summary
  • 1989 Annual Research Report
  • Research Products

    (39 results)

All Other

All Publications (39 results)

  • [Publications] Hitoshi IMAI,Hideo KAWARADA: "A method for finding bifurcattion points." Control and cybernetics,. 19(3). (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Hitoshi IMAI,Makoto NATORI,Lun Shan Gao,Hideo KAWARADA: "The parallel processing in the fuzzy control system governed by partial differential equations." Technical report,Institute of information sciences and electronics,University of Tsukuba,ISEーTRー90ー88,. (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Hideo KAWARADA,Hideyuki KOSHIGOE: "The unsteady flow in the porous media with a free surface." J.J.Ind. APPl.Math.Vol.8 No.1. 41-82 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Nobuyuki KENMOCHI: "A new proof of the uniqueness of solutions to twoーphase Stefan problems for nonlinear parabolic equations," Free Boundary Problems,ed.K.ーH.Hoffmann and J.Sprekels,Intern.Ser.Num.Math.Birkhauser Verlag,Basel,. 95. 101-126 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Nobuyuki KENMOCHI: "Neumann problems for a class of nonlinear degenrate parabolic equations." Differential and Integral Equations,. 3. 253-273 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Atsushi KADOYA,Nobuyuki KENMOCHI: "Shape optimization for multiーphase Stafan problems." Proceedings of Conference on Numerical Methods for Free Boundary Problems Intern.Ser.Math.Birkhauser Verlag,Basel,. (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Niro YANAGISAWA: "On the Stability of Fuzzy Control Systems" Proceedings of the Congress The Coming of Age of Fuzzy Logic,University of Washington. (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Niro YANAGISAWA: "On the Accuracy Fuzzy Models of Infinite Dimensi onal Systems" Proceedings of the International Conference on Fuzzy Logic and Network. (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Niro YANAGISAWA: "On Fuzzy Models of Nonlinear System" To appear in 4th IFSA Congress,Brussels(July). (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 1. H. Imai, H. Kawarada: "A method for finding bifurcation points." Control and cybernetics. 19. (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H. Imai, M. Natori, L. S. Gao, H. Kawarada: "The parallel processing in the fuzzy control system governed by partial differential equations." Tech. Rep. Inst. Inform. Sci. and Elec., Univ. Tsukuba. ISE-TR-90-88. (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] H. Kawarada, H. Koshigoe: "The unsteady flow in the porous media with a free surface." Japan J. Ind. Appl. Math.8,. 41-82 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] N. Kenmochi: "A new proof of the uniqueness of solutions to two phase Stefan problems for nonlinear parabolic equations." Free Boundary Problems, Intern. Ser. Num. Math. Birkhauser Verlag, Basel. 95. 101-126 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] N. Kenmochi: "Neumann problems for a class of nonlinear degenerate parabolic equations." Diff. and Int. Eq.3. 253-273 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] A. Kadoya, N. Kenmochi: "Shape optimization for multi-phase Stefan problems." Proceedings of Conference on Numerical Methods from Free Boundary Problems, Intern. Ser. Num. Math. Birkhauser Verlag, Basel.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] N. Yanagihara: "On the stability of Fuzzy control systems." Proceedings of the Congress, The Coming of Age of Fuzzy Logic, Univ. of Washigton, 1989.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] N. Yanagihara: "On the accuracy Fuzzy models of infinite dimensional systems." Proceedings of the International Conference on Fuzzy Logic and Network, 1990.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] N. Yanagihara: "On Fuzzy models of nonlinear systems." 4-th. IFSA Congress, Brussels, 1991.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] Hitoshi IMAI,Hideo KAWARADA: "A method for finding bifureattion points." Control and cybernetics.19(3). (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Hitoshi IMAI,Makoto NATORI,Lun Shan Gao,Hideo KAWARADA: "The parallel processing in the fuzzy control system governed by partial differential equations." Technical report,Institute of information sciences and electronics,University of Tsukuba,ISEーTRー90ー88.(1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Hideo KAWARADA,Hideyuki KOSHIGOE: "The unsteandy flow in the porous modia with a free surface." J.J.Ind.Appl.Math.vol.8 No.1. 41-82 (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] Nobuyuki KENMOCHI: "A new proof of the uniqueness of solutions to twoーphase Stefan problems for nonlinear parabolic equations." Free Boundary Problems,ed.K.ーH.Hoffmann and J.Sprekels.Intern.Ser.Num.Math.Birkhauser Verlag,Basel.95. 101-126 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Nobuyuki KENMOCHI: "Neumann problems for a class of nonlinear degenerate parabolic equations." Differential and Integral Equations.3. 253-273 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Atsushi KADOYA,Nobuyuki KENMOCHI: "Shape optimization for multiーphase Stafan problems." Proceedings of Conference on Numerical Methods for Free Boundary Problems Intern.Ser.Num.Math.Birkhauser Verlag.Basel.(1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Niro YANAGISAWA: "On the Stability of Fuzzy Control Systems" Proceedings of the Congress The Coming of Age of Fuzzy Logic,University of Washington. (1989)

    • Related Report
      1990 Annual Research Report
  • [Publications] Niro YANAGISAWA: "On the Accuracy Fuzzy Models of Infinite Dimensi onal Systems" Proceedings of the International Conference on Fuzzy Logic and Network. (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Niro YANAGISAWA: "On Fuzzy Models of Nonlinear System" To appear in 4th IFSA Congress,Brussels(July). (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] H.Kawarada,T.Sawaguri & H.Imai: "An Approximate Resolution of a Free Boundary Problem Appearing in the Equilibrium plasma by Means of Conformal Mapping" Japan J.Appl.Math.6(3). 331-340 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] H.Kawarada,H.Koshigoe: "The unsteady flow in the porous media with a free surface" Tech.Rep.Math.Sci.,Chiba Univ.2(5). 1-61 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] N.Kenmochi & I.Pawlow: "Asymptotic behavior of solutions to parabolic-elliptic variational inequalities" Nonlinear Anal.13. 1191-1213 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] N.Kenmochi & N.Kubo: "Periodic behavior of solutions to parabolic-elliptic free boundary problems" J.Math.Soc.Japan. 41. 625-640 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] K.H.Hoffmann & N.Kenmochi: "Two-phase Stefan problems with feedback controls," Mathematical Models for Phase Change Problems,ed.J.F.Rodrigues Intern.Ser.Num.Math.(Birkhauser Verlag,Basal). 88. 239-260 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] N.Kenmochi: "Neumann problems for a class of nonlinear degenerate parabolic equations" (to appear)Diff.Integ.Eg.3. 253-273 (1990)

    • Related Report
      1989 Annual Research Report
  • [Publications] N.Kenmochi,D.Kroner & M.Kubo: "Periodic solutions to porous media equations of parabolic-elliptic type" in J.Partial Diff.Eg.3. (1990)

    • Related Report
      1989 Annual Research Report
  • [Publications] A.Haraux & N.Kenmochi: "Asymptotic behavior of solutions to some degenerate parabolic equations" in Funk.Ekvac.

    • Related Report
      1989 Annual Research Report
  • [Publications] J.Yanagihara,S.Kawase: "Moduli Spaces and Global Canonical Forms of Discrete Time Linear Systems in Hilbert Spaces" Distributed Parameter Systems,Modelling and Simulation[Elsevier Science Publishers B.V.(North-Holland)]. 223-228 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] J.Yanagihara,Y.Nakamura: "Meromorphic Solutions of Some Polynomial Difference Equations" Analytic Function Theory of One Complex Variable[Longman Scientific & Technical,England]. 178-198 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] J.Yanagihara: "Polynomial Difference Equations which have Meromorphic Solutions of Finite Order" Analytic Function Theory of One Complex Variable[Longman Scientific & Technical,England]. 368-392 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 河原田秀夫: "自由境界問題" 東大出版会, 131 (1989)

    • Related Report
      1989 Annual Research Report

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Published: 1989-04-01   Modified: 2016-04-21  

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