The limit behavior of solutions for the Cauchy problem of the complex Ginzburg-Landau equation
✍ Scribed by Baoxiang Wang
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 251 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0010-3640
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📜 SIMILAR VOLUMES
approximated by smooth S 2 -valued maps. More recently, the authors in proved, as a special case of more general results, that if u 2 W 1;1 \ L 1 ðR 2 ; S 1 Þ and the distributional Jacobian of u is a Radon measure, then this measure must be atomic. Similar results are found in the work of Giaquint
## 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
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 res