Abstract
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.
Original language | English (US) |
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Pages (from-to) | 1001-1030 |
Number of pages | 30 |
Journal | Communications In Mathematical Physics |
Volume | 381 |
Issue number | 3 |
DOIs | |
State | Published - Feb 2021 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics