ON THE MODEL PROBLEM ARISING IN THE STUDY OF MOTION OF VISCOUS COMPRESSIBLE AND INCOMPRESSIBLE FLUIDS WITH A FREE INTERFACE

被引：0

作者：

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

机构：

[1] Steklov Math Inst, St Petersburg Branch, 27 Fontanka, St Petersburg 191023, Russia

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2019年 / 30卷 / 02期

关键词：

compressible and incompressible fluids; free boundary; Sobolev-Slobodetskii spaces;

D O I：

10.1090/spmj/1546

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The model problem under study concerns the evolution of two viscous capillary fluids of different types: compressible and incompressible, contained in a bounded vessel and separated by a free interface. The solution is estimated in the Sobolev-Slobodetskii function spaces; these estimates can be useful for the proof of stability for the rest state.

引用

页码：347 / 377

页数：31

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