Stationary solutions to the one-dimensional micropolar fluid model in a half line: Existence, stability and convergence rate

被引：28

作者：

Cui, Haibo ^{[1
]}

Yin, Haiyan ^{[1
]}

机构：

[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 449卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Micropolar fluid model; Stationary solutions; Outflow problem; Convergence rate; Weighted energy method; NAVIER-STOKES EQUATIONS; ASYMPTOTIC STABILITY; SPHERICAL-SYMMETRY; INFLOW PROBLEM; BOUNDARY; SPACE; WAVE; GAS; REGULARITY; VACUUM;

D O I：

10.1016/j.jmaa.2016.11.065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the asymptotic behavior of solutions to the initial boundary value problem for the one-dimensional micropolar fluid model in a half line R+ := (0, infinity). Our idea mainly comes from [12] which describes the large time behavior of solutions for non-isentropic Navier-Stokes equations in a half line. Compared with Navier-Stokes equations in the absence of the microrotation velocity, the microrotation velocity brings us some additional troubles. We obtain the convergence rate of global solutions toward corresponding stationary solutions if the initial perturbation belongs to the weighted Sobolev space. The proofs are given by a weighted energy method. (c) 2016 Elsevier Inc. All rights reserved.

引用

页码：464 / 489

页数：26

共 32 条

[21] Mujakovi N., 2007, Ann. Univ. Ferrara Sez. VII Sci. Mat, V53, P361, DOI [10.1007/s11565-007-0023-z, DOI 10.1007/S11565-007-0023-Z]
[22] One-dimensional flow of a compressible viscous micropolar fluid: Stabilization of the solution
Mujakovic, N
[J]. Proceedings of the Conference on Applied Mathematics and Scientific Computing, 2005, : 253 - 262
[23] Mujakovic N., 1998, GLAS MAT, V33, P71
[24] Mujakovic N., 1998, GLAS MAT, V33, P199
[25] The existence of a global solution for one dimensional compressible viscous micropolar fluid with non-homogeneous boundary conditions for temperature
Mujakovic, Nermina
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2014, 19 : 19 - 30
[26] One-Dimensional Compressible Viscous Micropolar Fluid Model: Stabilization of the Solution for the Cauchy Problem
Mujakovic, Nermina
[J]. BOUNDARY VALUE PROBLEMS, 2010,
[27] Mujakovic N, 2009, MATH INEQUAL APPL, V12, P651
[28] Nonhomogeneous Boundary Value Problem for One-Dimensional Compressible Viscous Micropolar Fluid Model: Regularity of the Solution
Mujakovic, Nermina
[J]. BOUNDARY VALUE PROBLEMS, 2008, 2008 (1)
[29] Convergence rate of solutions toward stationary solutions to the compressible Navier-Stokes equation in a half line
Nakamura, Tohru
Nishibata, Shinya
Yuge, Takeshi
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 241 (01) : 94 - 111
[30] STATIONARY WAVE ASSOCIATED WITH AN INFLOW PROBLEM IN THE HALF LINE FOR VISCOUS HEAT-CONDUCTIVE GAS
Nakamura, Tohru
Nishibata, Shinya
[J]. JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2011, 8 (04) : 651 - 670

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