Hostname: page-component-7dc689bd49-kfntg Total loading time: 0 Render date: 2023-03-20T09:28:28.115Z Has data issue: true Feature Flags: { "useRatesEcommerce": false } hasContentIssue true

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

Published online by Cambridge University Press:  11 July 2007

A. Rodriguez-Bernal
Departamento de Matematica Aplicada, Universidad Complutense de Madrid, Madrid 28040, Spain
B. Wang
Department of Applied Mathematics, Tsinghua University, Beijing 100084, People's Republic of China


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.

Research Article
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.)