A note on vortex solutions of Landau–Lifshitz equation
✍ Scribed by Xueke Pu; Boling Guo
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 122 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1201
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
In this short note, by using the ideas of shooting method, we show that there exists no finite energy vortex solution to the Landau–Lifshitz equation without anisotropy for prescribed boundary values. Based on comparisons between the present result and the previous ones, we see that the isotropic terms play an important role in Landau–Lifshitz equation. Copyright © 2009 John Wiley & Sons, Ltd.
📜 SIMILAR VOLUMES
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.
Three methods (Gauss-Legendre method, Stehfest method and Laplace transform method) are used to evaluate a solution of a coupled heat-fluid linear diffusion equation. Comparing with the results by Jaeger, the accuracy and efficiency of the Stehfest and Gauss-Legendre methods and the limitations of t
The Ginzburg-Landau equation which describes nonlinear modulation of the amplitude of the basic pattern does not give a good approximation when the Landau constant (which describes the influence of the nonlinearity) is small. In this paper a derivation of the so-called degenerate (or generalized) Gi