## Communicated by B. Straughan The Landau-Lifshitz-Gilbert equation describes the evolution of spin fields in continuum ferromagnetics. The present paper consists of two parts. The first one is to prove the local existence of smooth solution to the Landau-Lifshitz-Maxwell systems in dimensions th
Local existence of solutions to the Landau–Maxwell system
✍ Scribed by Mei-Qin Zhan
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 829 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0170-4214
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
We study here the Landau–Maxwell system in its classical form. We prove the local existence of weak solution with initial data of unrestricted size. The main tools consist of an approximation method and a regularity result for velocity averages of solutions of some general linear transport equations.
📜 SIMILAR VOLUMES
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