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A Dirichlet inhomogeneous boundary value problem for a generalized Ginzburg–Landau equation

✍ Scribed by Hongjun Gao; Xiaohua Gu; Charles Bu

Book ID
108175658
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
163 KB
Volume
330
Category
Article
ISSN
0022-247X

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📜 SIMILAR VOLUMES

A Dirichlet boundary value problem for a
A Dirichlet boundary value problem for a generalized Ginzburg-Landau equation
✍ Hongjun Gao; C Bu 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 279 KB

We study the following generalized 1D Ginzburg-Landau equation on ~ = (0, c~) x (0, oo) Under suitable conditions, we prove that there is a unique H 1 weak solution that exists for all time. ~

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✍ Charles Bu 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 314 KB

This paper establishes existence and uniqueness of the weak solution to the Ginzburg-Landau equation posed in a finite domain Q = [0, L] for t 2 0, with certain initial-boundary data.

On the Initial-Value Problem for the Gen
On the Initial-Value Problem for the Generalized Two-Dimensional Ginzburg–Landau Equation
✍ 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