Global well-posedness to the 3D Cauchy problem of nonhomogeneous heat conducting magnetohydrodynamic equations with large oscillations and vacuum?

被引：1

作者：

Zhang, Yutong ^{[1
]}

Zhong, Xin ^{[2
]}

机构：

[1] Southwest Univ, Inst Innovat & Entrepreneurship, Chongqing 400715, Peoples R China

[2] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2023年 / 235卷

基金：

中国国家自然科学基金;

关键词：

Nonhomogeneous heat conducting; magnetohydrodynamic equations; Global well-posedness; Large -time behavior; Large oscillations; Vacuum; SYSTEM;

D O I：

10.1016/j.na.2023.113350

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Cauchy problem of nonhomogeneous heat conducting magnetohydrodynamic equations with vacuum in R3. Based on delicate energy estimates, we establish the global existence and uniqueness of strong solutions under some smallness condition. Moreover, we also derive large-time decay rates of the solution. In particular, our smallness condition is independent of any norms of the initial data except the upper bound of the initial density.& COPY; 2023 Elsevier Ltd. All rights reserved.

引用

页数：21

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