Asymptotic behavior of solutions of the compressible Navier-Stokes equations in a cylinder under the slip boundary condition

被引：1

作者：

Aihaiti, Abulizi ^{[1
]}

Kagei, Yoshiyuki ^{[2
]}

机构：

[1] Kyushu Univ, Grad Sch Math, Fukuoka, Fukuoka, Japan

[2] Kyushu Univ, Fac Math, Fukuoka, Fukuoka 8190395, Japan

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 10期

关键词：

asymptotic behavior; compressible Navier-stokes equations; cylinder; diffusive rigid rotation; nonlinear diffusion waves; slip boundary condition; LARGE-TIME BEHAVIOR; CRITICAL SPACES; VISCOUS-FLUID; MOTION; FLOW; STABILITY; EXISTENCE;

D O I：

10.1002/mma.5578

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The large time behavior of solutions to the compressible Navier-Stokes equations around the motionless state is considered in a cylinder under the slip boundary condition. It is shown that if the initial data are sufficiently small, the global solution uniquely exists and the large time behavior of the solution is described by a superposition of one-dimensional nonlinear diffusion waves and a diffusive rigid rotation.

引用

页码：3428 / 3464

页数：37

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