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液晶の数理モデルに現われる変分問題の研究

Research Project

Project/Area Number 09874025
Research Category

Grant-in-Aid for Exploratory Research

Allocation TypeSingle-year Grants
Research Field 解析学
Research InstitutionHokkaido University

Principal Investigator

神保 秀一  北海道大学, 大学院理学研究科, 助教授 (80201565)

Co-Investigator(Kenkyū-buntansha) 儀我 美一  北海道大学, 大学院理学研究科, 教授 (70144110)
Project Period (FY) 1997 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1998: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1997: ¥1,400,000 (Direct Cost: ¥1,400,000)
Keywordsソレノイダルベクトル場 / スペクトル / 最小解の安定性 / 振動問題 / 連立形微分作用素 / 液晶 / 変分問題 / 安定性解析
Research Abstract

(1)液晶,弾性体,電磁場の現象のモデル方程式に現われる振動問題における連立形微分作用素の自己共役性を与える関数空間及び境界条件を研究した。とくにソレノイダルベクトル場の空間に適切な境界条件を与えた。
(2)(1)の振動問題のスペクトの特徴付けを研究し領域摂動を特殊な(物理的に実際的な)場合について研究した。
(3)液晶やパターン形成の変分問題における局所最小解の安定性解析を行い,特殊な場合で進展した。

Report

(2 results)
  • 1998 Annual Research Report
  • 1997 Annual Research Report
  • Research Products

    (9 results)

All Other

All Publications (9 results)

  • [Publications] S.Jinbo: "Gimzburg-Landau equation with magnetic effects : Non-Simply-Connected domain" J.Math.Soc.Japan. 50. 663-684 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] XY.Chen: "Stabilization of vortices in Ginzburg-Landau equation with variable diffusion coefficients" SIAMJ.Math.Anal.29. 903-912 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Y.Giga: "On pinching of curves moved by surface diffusion" Comm.Appl.Anal.2. 393-405 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Y.Giga: "Evolving graphs by singular weighted curvature" Arch.Rat.Mech.Anal.141. 117-198 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 神保秀一: "微分方程式概論" サイエンス社, 185 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] S.JIMBO: "Stabilization of vortices in the Ginzburg-Landau equation with variable coefficients" SLAM Journal of Mathematical Analys Iis. (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] Shuichi JIMBO: "Ginzburg-Landau equation with magnetic effect:Non-simply connected domains" Journal of Mathematical Society of Jopan. 50・4. (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] Shuichi JIMBO: "On the existence of nontrivial stable solutions to the Ginzburg-Landau equation" Nonlinear Analysis TMA. 30. 811-817 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Shuichi JIMBO: "Ginzburg-Landaii equations variable coefficients-an approach to prescribing zeros" Proceedings of Korea-Japan PDE Conference,Uecture Notes Series. 39. (1997)

    • Related Report
      1997 Annual Research Report

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

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