Optimal decay rates for the compressible fluid models of Korteweg type

被引：106

作者：

Wang, Yanjin ^{[1
]}

Tan, Zhong ^{[1
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 379卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Capillary fluids; Korteweg system; Compressible Navier-Stokes equations; Optimal decay rates; Energy estimates; NAVIER-STOKES EQUATIONS; CONVERGENCE-RATES; UNBOUNDED-DOMAINS; EXTERIOR DOMAIN; VISCOUS-FLUID; HALF-SPACE; MOTION; BEHAVIOR; SYSTEMS; FORCE;

D O I：

10.1016/j.jmaa.2011.01.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the compressible Navier-Stokes-Korteweg system that models the motions of the compressible isothermal viscous capillary fluids. We prove the optimal L-2 and L-P, p >= 2 decay rates for the classical solutions and their spatial derivatives. In particular, the optimal L-2 decay rate of the second-order spatial derivatives is obtained. The proof is based on the detailed study of the linear decay estimates and nonlinear energy estimates. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：256 / 271

页数：16

共 27 条

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