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arXiv · 1911.00339

Backward self-similar solutions for compressible Navier-Stokes equations

Pierre Germain·Tsukasa Iwabuchi·Tristan Léger
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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 satisfy an appropriate smallness condition, or have finite energy. Furthermore, numerical simulations lead us to the conjecture that such solutions do not exist.

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Pierre Germain, Tsukasa Iwabuchi, Tristan Léger. 2019-10-31. Backward self-similar solutions for compressible Navier-Stokes equations. https://arxiv.org/abs/1911.00339

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