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 of Solutions of an Extended Landau Equation
✍ Scribed by Thomas M. Fischer
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 262 KB
- Volume
- 140
- Category
- Article
- ISSN
- 0022-0396
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📜 SIMILAR VOLUMES
## Abstract We study the initial value problem where $ \|u(\cdot,t)\| = \int \nolimits ^ {\infty} \_ {- \infty}\varphi(x) | u( x,t ) | {\rm{ d }} x$ with φ(__x__)⩾0 and $ \int \nolimits^{\infty} \_ {-\infty} \varphi (x) \, {\rm{d}}x\,= 1$. We show that solutions exist globally for 0<__p__⩽1, while
In this article, we consider a system of a Ginzburg᎐Landau equation in u coupled with a Poisson equation in , nonglobal. Our method uses energy arguments. We establish differential inequalities having only nonglobal solutions.
We consider a matrix Riccati equation containing two parameters c and ␣. The quantity c denotes the average total number of particles emerging from a collision, Ž . Ž . which is assumed to be conservative i.e., 0c F 1 , and ␣ 0 F ␣ -1 is an ÄŽ . 4 angular shift. Let S s c, ␣ : 0c F 1 and 0 F ␣ -1 .