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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

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📜 SIMILAR VOLUMES


Global Existence of Solutions to the Der
✍ Yongsheng Li; Boling Guo 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 144 KB

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

Sharper global existence for the general
✍ Xiaohua Gu; Hongjun Gao 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 107 KB

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.

Asymptotics for the Generalized Two-Dime
✍ Hongjun Gao; Guoguang Lin; Jinqiao Duan 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 198 KB

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

On the Initial-Value Problem for the Gen
✍ Hongjun Gao; Jinqiao Duan 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 198 KB

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