| Project/Area Number |
11640141
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Ryukoku University |
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Principal Investigator |
MORITA Yoshihisa Ryukoku University, Applied Mathematics and Informatics, Professor, 理工学部, 教授 (10192783)
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| Co-Investigator(Kenkyū-buntansha) |
OKA Hiroe Ryukoku University, Applied Mathematics and Informatics, Professor, 理工学部, 教授 (20215221)
IKEDA Tsutomu Ryukoku University, Applied Mathematics and Informatics, Professor, 理工学部, 教授 (50151296)
YOSTUTANI Shoji Ryukoku University, Applied Mathematics and Informatics, Professor, 理工学部, 教授 (60128361)
JIMBO Shuichi Hokkaido University, Mathematics, Professor, 大学院・理学研究科, 教授 (80201565)
NINOMIYA Hirokazu Ryukoku University, Applied Mathematics and Informatics, Lecturer, 理工学部, 講師 (90251610)
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| Project Period (FY) |
1999 – 2000
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| Project Status |
Completed (Fiscal Year 2000)
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| Budget Amount *help |
¥3,700,000 (Direct Cost: ¥3,700,000)
Fiscal Year 2000: ¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 1999: ¥2,400,000 (Direct Cost: ¥2,400,000)
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| Keywords | Ginzburg-Landau eguation / vortex / stability / bifurcation structure / nonlinear partial differential equation / dynamical system / 渦糸解 / 平衡解の安定性 |
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| Research Abstract |
We studied the stability and dynamics of vortices of the Ginzburg-Landau equation which arises as a model describing a macroscopic superconducting phenomenon. We first showed the existence and stability of a single vortex solution in a disk with a variable coefficient. Next, to investigate the motion law of vortices, we derive an explicit form of a singular limit equation as the parameter goes to infinity. By virtue of this form we obtained some dynamical properties of vortices.
We also studied some dynamical system problems and solution structures of elliptic equation to obtain several new results.
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