量子磁流体方程弱解的全局存在性

Global Existence of Weak Solutions for Quantum Magnetohydrodynamic Equations

本文研究了三维环面上粘性依赖密度的量子磁流体系统,通过引入冷压处理对流项,运用Fadeo-Galerkin方法和紧性定理等证明了该系统弱解的全局存在性。

This paper investigates a density dependent quantum magneto fluid system on a three-dimensional torus, and proves the global existence of weak solutions of the system by introducing cold pressure convection terms and using Fadeo-Galerkin method and compactness theorem.