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Global Existence of Solutions to the Derivative 2D Ginzburg–Landau Equation

✍ Scribed by Yongsheng Li; Boling Guo

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
144 KB
Volume
249
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper we study a complex derivative Ginzburg᎐Landau equation with two Ž . spatial variables 2D . We obtain sufficient conditions for the existence and uniqueness of global solutions for the initial boundary value problem of the derivative 2D Ginzburg᎐Landau equation and improve the known results.

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## Abstract In this paper we consider a class of complex Ginzburg–Landau equations. We obtain sufficient conditions for the existence and uniqueness of global solutions for the initial‐value problem in __d__‐dimensional torus 𝕋^__d__^, and that solutions are initially approximated by solutions of t