GLOBAL BEHAVIOR FOR THE CLASSICAL SOLUTION OF COMPRESSIBLE VISCOUS MICROPOLAR FLUID WITH CYLINDER SYMMETRY

被引：4

作者：

Huang, Lan ^{[1
]}

Sun, Zhiying ^{[1
]}

Yang, Xin-Guang ^{[2
]}

Miranville, Alain ^{[2
,3
]}

机构：

[1] North China Univ Water Resources & Elect Power, Coll Math & Stat, Zhengzhou 450011, Peoples R China

[2] Henan Normal Univ, Dept Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China

[3] Univ Poitiers, Lab Math & Applicat, UMR CNRS 7348 SP2MI, Blvd Marie & Pierre Curie Teleport 2, F-86962 Futuroscope, France

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2022年 / 21卷 / 05期

关键词：

Exponential stability; cylindrical symmetry; regularity; micropolar fluid; NAVIER-STOKES EQUATIONS; POWER NEWTONIAN FLUID; CYLINDRICAL SYMMETRY; 3-D FLOW; ASYMPTOTIC-BEHAVIOR; EXISTENCE; REGULARITY; STABILITY; MODEL; TIME;

D O I：

10.3934/cpaa.2022033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the global solutions of the 3D compressible micropolar fluid model in the domain to a subset of R-3 bounded with two coaxial cylinders that present the solid thermo-insulated walls, which is in a thermodynamical sense perfect and polytropic. Compared with the classical Navier-Stokes equations, the angular velocity w in this model brings benefit that is the damping term - uw can provide extra regularity of w. At the same time, the term uw(2) is bad, it increases the nonlinearity of our system. Moreover, the regularity and exponential stability in H-4 also are proved.

引用

页码：1595 / 1620

页数：26

共 36 条

[1]

[Anonymous], 2001, Encyclopedia of Mathematics and Its Applications

[2]

Antontscv S., 1990, BOUNDARY PROBLEMS ME

[3] Uniqueness of generalized solution to micropolar viscous real gas flow with homogeneous boundary conditions [J].

Basic-Sisko, Angela ;

Drazic, Ivan .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (06) :4330-4341

[4] An exact solution for the 3D MHD stagnation-point flow of a micropolar fluid [J].

Borrelli, A. ;

Giantesio, G. ;

Patria, M. C. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 20 (01) :121-135

[5] GLOBAL-SOLUTIONS TO THE COMPRESSIBLE NAVIER-STOKES EQUATIONS FOR A REACTING MIXTURE [J].

CHEN, GQ .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1992, 23 (03) :609-634

[6] Global solutions of the compressible Navier-Stokes equations with large discontinuous initial data [J].

Chen, GQ ;

Hoff, D ;

Trivisa, K .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2000, 25 (11-12) :2233-2257

[7] Numerical simulation for unsteady compressible Micropolar fluid flow [J].

Chen, James ;

Liang, Chunlei ;

Lee, James D. .

COMPUTERS & FLUIDS, 2012, 66 :1-9

[8]

Constantin P., 1988, Navier-Stokes Equations

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

Cui, Haibo ;

Yin, Haiyan .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 449 (01) :464-489

[10] Three-dimensional flow of a compressible viscous micropolar fluid with cylindrical symmetry: a global existence theorem [J].

Drazic, Ivan .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (13) :4785-4801

← 1 2 3 4 →