On the existence of globally defined weak solutions to three-dimensional compressible magneto-micropolar fluids with discontinuous initial data and vacuum

被引：0

作者：

Zhang, Mingyu ^{[1
]}

机构：

[1] Weifang Univ, Sch Math & Stat, Weifang 261061, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2025年 / 66卷 / 01期

关键词：

BOUNDARY-VALUE-PROBLEMS; CLASSICAL-SOLUTIONS; LARGE OSCILLATIONS; UNIQUENESS; CRITERION; EQUATIONS;

D O I：

10.1063/5.0240277

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the global existence of weak solutions is justified for the three-dimensional (3D) compressible magneto-micropolar fluids with discontinuous initial data which are of small energy but possibly large oscillations with constant state as far field which could be vacuum. Our result is a generalization of Huang et al. Commun. Pure Appl. Math. 65, 549-585, (2012) from viscous isentropic flows to the viscous compressible magneto-micropolar fluids.

引用

页数：21

共 44 条

[41] Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations [J].

Huang, Xiangdi ;

Li, Jing ;

Xin, Zhouping .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2012, 65 (04) :549-585

[42] GLOBAL WELL-POSEDNESS OF CLASSICAL SOLUTIONS TO THE CAUCHY PROBLEM OF TWO-DIMENSIONAL BAROTROPIC COMPRESSIBLE NAVIER-STOKES SYSTEM WITH VACUUM AND LARGE INITIAL DATA [J].

Huang, Xiangdi ;

Li, Jing .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 54 (03) :3192-3214

[43] Weak Serrin-type finite time blowup and global strong solutions for three-dimensional density-dependent heat conducting magnetohydrodynamic equations with vacuum [J].

Li, Huanyuan Zhengzhou .

APPLICATIONS OF MATHEMATICS, 2023, 68 (05) :593-621

[44] Global well-posedness and exponential decay rates of the strong solutions to the two-dimensional full compressible magnetohydrodynamics equations with vacuum in some class of large initial data [J].

Li, Yachun ;

Shang, Zhaoyang .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 359 :211-302

← 1 2 3 4 5 →