| 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)
|
|---|
| 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.
|
