二维 Landau-Lifshitz-Darwin 耦合模型整体弱解的存在性

Global Existence of Weak Solutions for the 2-Dimensional Landau-Lifshitz Equations Coupled with Darwin Model

摘要: 运用先验估计和 ~Galerkin 方法, 证明了二维 ~Landau-Lifshitz方程耦合 Maxwell 方程的 Darwin 模型的整体弱解存在性.

Abstract: By using a priori estimate and the Galerkin method, the existence of the global weak solution for the two-dimensional Landau-Lifshitz equations coupled with Darwin model of Maxwell equations is obtained.