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.
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页码：347 / 377
页数：31
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