Abstract
This article is devoted to backward self-similar blow up solutions of the compressible Navier-Stokes equations with radial symmetry. We show that such solutions cannot exist if they either have finite energy, or satisfy appropriate smallness conditions. Furthermore, numerical simulations lead us to the conjecture that such solutions do not exist.
Original language | English (US) |
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Pages (from-to) | 868-893 |
Number of pages | 26 |
Journal | Nonlinearity |
Volume | 34 |
Issue number | 2 |
DOIs | |
State | Published - Feb 2021 |
Keywords
- blow-up
- compressible Navier Stokes
- self-similar solutions
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics