Global strong solutions of three-dimensional compressible non-isentropic micropolar fluid equations with far field vacuum

被引:0
作者
Chen, Shaoqian [1 ]
Liu, Yang [2 ]
Zhong, Xin [1 ]
机构
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[2] Changchun Normal Univ, Coll Math, Changchun 130032, Peoples R China
基金
中国国家自然科学基金;
关键词
Compressible non-isentropic; micropolar fluid equations; Global strong solutions; Cauchy problem; Far field vacuum; NAVIER-STOKES; WEAK SOLUTIONS; DECAY; MODEL;
D O I
10.1016/j.jmaa.2023.127894
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We are concerned with the Cauchy problem of three-dimensional (3D) compressible non-isentropic micropolar fluid equations with far field vacuum. With the help of Serrin type blow-up criterion, we show the global existence and uniqueness of strong solutions provided that the initial mass is suitably small. Our work generalizes the result of Huang et al. (2021) [8] to the case that vacuum is allowed at infinity.(c) 2023 Elsevier Inc. All rights reserved.
引用
收藏
页数:15
相关论文
共 20 条
[1]   GLOBAL WEAK SOLUTIONS OF 3D COMPRESSIBLE MICROPOLAR FLUIDS WITH DISCONTINUOUS INITIAL DATA AND VACUUM [J].
Chen, Mingtao ;
Xu, Xinying ;
Zhang, Jianwen .
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2015, 13 (01) :225-247
[2]   Blowup criterion for the three-dimensional equations of compressible viscous micropolar fluids with vacuum [J].
Chen, Mingtao ;
Huang, Bin ;
Zhang, Jianwen .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 79 :1-11
[3]   On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities [J].
Cho, YG ;
Kim, H .
MANUSCRIPTA MATHEMATICA, 2006, 120 (01) :91-129
[4]   Regularity of weak solutions of the compressible isentropic Navier-Stokes equations [J].
Desjardins, B .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1997, 22 (5-6) :977-1008
[5]   Homogeneous Boundary Problem for the Compressible Viscous and Heat-Conducting Micropolar Fluid Model with Cylindrical Symmetry [J].
Drazic, Ivan .
DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS, 2018, 230 :79-92
[6]   3-D flow of a compressible viscous micropolar fluid model with spherical symmetry: A brief survey and recent progress [J].
Drazic, Ivan .
REVIEWS IN MATHEMATICAL PHYSICS, 2018, 30 (01)
[7]  
Feireisl E., 2004, DYNAMICS VISCOUS COM
[8]   Global Dynamics of 3-D Compressible Micropolar Fluids with Vacuum and Large Oscillations [J].
Huang, Bingkang ;
Liu, Lvqiao ;
Zhang, Lan .
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021, 23 (01)
[9]   Serrin-Type Blowup Criterion for Viscous, Compressible, and Heat Conducting Navier-Stokes and Magnetohydrodynamic Flows [J].
Huang, Xiangdi ;
Li, Jing .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2013, 324 (01) :147-171
[10]  
LIONS PL, 1998, MATH TOPICS FLUID ME, V2