Generation of vortices in the Ginzburg-Landau heat flow

被引：0
作者：
Kowalczyk, Michas [1 ,2 ,3 ]
Lamy, Xavier [4 ]
机构：
[1] Univ Chile, Dept Ingenieri Matemat, Casilla 170 Correo 3, Santiago, Chile
[2] Univ Chile, Ctr Modelamiento Matematico, UMI CNRS 2807, Casilla 170 Correo 3, Santiago, Chile
[3] Polish Acad Sci, Inst Math, Ul Sniadeckich 8, PL-00656 Warsaw, Poland
[4] Univ Toulouse, Inst Math Toulouse, UMR 5219, CNRS UPS IMT, 118 Route Narbonne, F-31062 Toulouse 9, France
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2024年 / 41卷 / 06期
关键词：
Ginzburg-Landau; vortices; ENERGY-DISSIPATION RATES; VORTEX COLLISIONS; DYNAMICS; MOTION;
D O I：
10.4171/AIHPC/96
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Ginzburg-Landau heat flow on the flat two-dimensional torus, starting from initial data with a finite number of nondegenerate zeros - but very high initial energy. We show that the initial zeros are conserved, while away from these zeros the modulus quickly grows close to 1, and the flow rapidly enters a logarithmic energy regime, from which the evolution of vortices can be described by the works of Bethuel, Orlandi and Smets.
引用
收藏
页码：1509 / 1526
页数：18
相关论文
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