On Self-similar Solutions to Degenerate Compressible Navier-Stokes Equations

被引：0

作者：

Germain, Pierre ^{[1
]}

Iwabuchi, Tsukasa ^{[2
]}

Leger, Tristan ^{[1
]}

机构：

[1] NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA

[2] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2021年 / 381卷 / 03期

关键词：

GLOBAL WEAK SOLUTIONS; SHALLOW-WATER; EXISTENCE; SYSTEM; FLUID;

D O I：

10.1007/s00220-020-03919-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study cavitating solutions to compressible Navier-Stokes equations with degenerate density-dependent viscosity. We consider two types of small radial solutions: forward self-similar (expanders), and backward self-similar (shrinkers). In the first case, we construct such solutions by a fixed-point argument. In the second case, we prove non-existence of such solutions using weighted energy estimates.

引用

页码：1001 / 1030

页数：30

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