Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-28T02:50:50.048Z Has data issue: false hasContentIssue false
  • English
  • Français

Cauchy problem for the time-dependent Ginzburg–Landau model of superconductivity

Published online by Cambridge University Press:  11 July 2007

A. Rodriguez-Bernal  and
B. Wang
A. Rodriguez-Bernal
Affiliation:
Departamento de Matematica Aplicada, Universidad Complutense de Madrid, Madrid 28040, Spain
B. Wang
Affiliation:
Department of Applied Mathematics, Tsinghua University, Beijing 100084, People's Republic of China
Get access Rights & Permissions [Opens in a new window]

Abstract

The Cauchy problem for the time-dependent Ginzburg–Landau equations of superconductivity in Rd (d = 2, 3) is investigated in this paper. When d = 2, we show that the Cauchy problem for this model is well posed in L2. When d = 3, we establish the existence result of solutions for L3 initial data and the uniqueness result for L4 initial data.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 130 , Issue 6 , December 2000 , pp. 1383 - 1404
Copyright
Copyright © Royal Society of Edinburgh 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)