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
Global existence theory for the two-dimensional derivative Ginzburg-Landau equation
✍ Scribed by Zhenchao Cao; Boling Guo; Bixiang Wang
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 139 KB
- Volume
- 43
- Category
- Article
- ISSN
- 1001-6538
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We study the following generalized 1D Ginzburg-Landau equation on Ω = (0, ∞) × (0, ∞): with initial and Dirichlet boundary conditions u(x, 0) = h(x), u(0, t) = Q(t). Based on detail analysis, the sharper existence and uniqueness of global solutions are obtained under sufficient conditions.
In this paper, the authors have studied a generalized Ginzburg᎐Landau equation Ž . in two spatial dimensions 2D . They have shown that this equation, under periodic boundary conditions, has the maximal attractor with finite Hausdorff dimension. This rigorously establishes the foundation for further
The Ginzburg᎐Landau-type complex partial differential equations are simplified mathematical models for various pattern formation systems in mechanics, physics, and chemistry. Most work so far concentrates on Ginzburg᎐Landau-type equations Ž . with one spatial dimension 1D . In this paper, the author