Global Strong Solution to the Cauchy Problem of One-dimensional Viscous Two-fluid MHD Model

被引：0

作者：

Tao, Qiang ^{[1
]}

Zhai, Yuxin ^{[1
]}

机构：

[1] Shenzhen Univ, Sch Math Sci, Shenzhen 518060, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2025年 / 48卷 / 01期

基金：

美国国家科学基金会;

关键词：

Viscous two-fluid MHD model; Global strong solutions; Vacuum; Large initial data; NAVIER-STOKES EQUATIONS; WELL-POSEDNESS; ASYMPTOTIC ANALYSIS; 2-PHASE MODEL; EXISTENCE; STABILITY; FLOW;

D O I：

10.1007/s40840-024-01785-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study on the Cauchy problem of one-dimensional compressible viscous two-fluid MHD model and establish the global existence and uniqueness of strong solutions for large initial data. The initial density is permitted to vanish and even can have compact support. By introducing the flow map Lagrangian coordinate, the uniform upper bounds on the density is obtained.

引用

页数：26

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