量子磁流体方程弱解的全局存在性
Global Existence of Weak Solutions for Quantum Magnetohydrodynamic Equations
DOI: 10.12677/AAM.2024.132075, PDF,    科研立项经费支持
作者: 张 帆, 任永华*, 张建文：太原理工大学数学学院，山西 太原
关键词: 冷压；量子磁流体；弱解；Cold Pressing； Viscous Quantum Magnetic Fluid； Weak Solution
摘要: 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。
Abstract: 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.
文章引用：张帆, 任永华, 张建文. 量子磁流体方程弱解的全局存在性[J]. 应用数学进展, 2024, 13(2): 760-773. https://doi.org/10.12677/AAM.2024.132075

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