Global solutions to time-dependent Ginzburg-Landau-Chern-Simons equations

被引：1

作者：

Huh, Hyungjin ^{[1
]}

机构：

[1] Chung Ang Univ, Dept Math, Seoul 156756, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 455卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Ginzburg-Landau-Chern-Simons; Coulomb gauge; Global existence; MAXWELL EQUATIONS; SYSTEM;

D O I：

10.1016/j.jmaa.2017.06.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose and study a time-dependent Ginzburg-Landau-Chern-Simons model. The local existence of solutions to the model in a bounded domain Omega is proved by applying contraction mapping theorem. We use covariant energy estimate to extend a local solution to global one. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：714 / 726

页数：13

共 28 条

[21] SELF-DUAL CHERN-SIMONS VORTICES [J].

JACKIW, R ;

WEINBERG, EJ .

PHYSICAL REVIEW LETTERS, 1990, 64 (19) :2234-2237

[22] CLASSICAL AND QUANTAL NONRELATIVISTIC CHERN-SIMONS THEORY [J].

JACKIW, R ;

PI, SY .

PHYSICAL REVIEW D, 1990, 42 (10) :3500-3513

[23]

Liu B., 2014, INT MATH RES NOTICES, P6311

[24]

Nirenberg L., 1959, Ann. Scuola Norm. Sup. Pisa Cl. Sci, V13, P115

[25] ON AN EVOLUTIONARY SYSTEM OF GINZBURG-LANDAU EQUATIONS WITH FIXED TOTAL MAGNETIC-FLUX [J].

QI, T .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1995, 20 (1-2) :1-36

[26]

Qiang Du, 1994, Applicable Analysis, V53, P1

[27] GLOBAL WELL-POSEDNESS OF THE CHERN-SIMONS-HIGGS EQUATIONS WITH FINITE ENERGY [J].

Selberg, Sigmund ;

Tesfahun, Achenef .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2013, 33 (06) :2531-2546

[28] The time-dependent Ginzburg-Landau Maxwell equations [J].

Tsutsumi, M ;

Kasai, H .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 37 (02) :187-216

← 1 2 3 →