Well-posedness and large time decay for the 3D micropolar equations with only velocity dissipation

被引：6

作者：

Ye, Hailong ^{[1
]}

Wang, Qingqing ^{[1
]}

Jia, Yan ^{[1
]}

机构：

[1] Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 219卷

关键词：

Micropolar fluid; Well-posedness; Large time decay; GLOBAL REGULARITY; EXISTENCE;

D O I：

10.1016/j.na.2022.112796

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the well-posedness and large time behavior of solutions to the 3D micropolar equations with only velocity dissipation. The global weak solutions and regular small solution are examined by exploring the higher order regularity properties of two related linearized problems. Due to some new observation on the special structure of equations in an ingenious way, we introduce an alternative analysis argument and give a detailed description on the large time decay rates for the weak and regular small solutions. (c) 2022 Elsevier Ltd. All rights reserved.

引用

页数：25

共 50 条

[21] GLOBAL WELL-POSEDNESS OF 3D MAGNETO-MICROPOLAR FLUID EQUATIONS WITHOUT MAGNETIC DIFFUSION
Wang, Yazhou
Wang, Yuzhu
EVOLUTION EQUATIONS AND CONTROL THEORY, 2025,
[22] Global well-posedness of 3D magneto-micropolar fluid equations with mixed partial viscosity
Wang, Yinxia
Wang, Keyan
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2017, 33 : 348 - 362
[23] Global well-posedness and time decay for 2D Oldroyd-B-type fluids in periodic domains with dissipation in the velocity equation only
Lin, Hongxia
Wei, Youhua
Wu, Jiahong
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, 66
[24] Global well-posedness and large-time behavior of strong/classical solutions for the 3D compressible isentropic magneto-micropolar fluid equations
Xu, Hao
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 546 (01)
[25] GLOBAL WELL-POSEDNESS OF THE 3D GENERALIZED BOUSSINESQ EQUATIONS
Xu, Bo
Zhou, Jiang
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2024, 29 (12): : 4821 - 4829
[26] ON THE GLOBAL WELL-POSEDNESS OF THE 3D VISCOUS PRIMITIVE EQUATIONS
Hong, Mingli
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (01): : 102 - 118
[27] Global well-posedness of the 3D hydrostatic magnetohydrodynamics equations
Du, Lili
Li, Dan
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (12) : 10040 - 10067
[28] On Global Well-Posedness and Temporal Decay for 3D Magnetic Induction Equations with Hall Effect
Zhao, Xiaopeng
MATHEMATICS, 2020, 8 (10) : 1 - 25
[29] Global well-posedness to the 3D nonhomogeneous magnetohydrodynamic equations with density-dependent viscosity and large initial velocity
Ling Zhou
Chun-Lei Tang
Zeitschrift für angewandte Mathematik und Physik, 2022, 73
[30] Global well-posedness to the 3D nonhomogeneous magnetohydrodynamic equations with density-dependent viscosity and large initial velocity
Zhou, Ling
Tang, Chun-Lei
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (05):

← 1 2 3 4 5 →