ON THE SOLVABILITY OF INITIAL-BOUNDARY VALUE PROBLEMS FOR A VISCOUS COMPRESSIBLE FLUID IN AN INFINITE TIME INTERVAL

被引：0

作者：

Solonnikov, V. A. ^{[1
]}

机构：

[1] Russian Acad Sci, St Petersburg Branch, VA Steklov Math Inst, Fontanka 27, St Petersburg 191023, Russia

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2016年 / 27卷 / 03期

关键词：

Navier-Stokes equations; viscosity; anisotropic Sobolev-Slobodetski spaces; SURFACE; MOTION; FLOW;

D O I：

10.1090/spmj/1402

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The solution of the first boundary-value problem for the Navier-Stokes equations is estimated in the case of a compressible fluid in an infinite time interval; the solvability of the problem is proved, together with the exponential decay of the solution as t -> infinity. The proof is based on the "free work" method due to Prof. M. Padula. It is shown that the method is applicable to the analysis of free boundary problems.

引用

页码：523 / 546

页数：24

共 20 条

[11] INITIAL VALUE-PROBLEM FOR THE EQUATIONS OF MOTION OF COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE FLUIDS [J].