Some special solutions of the multidimensional Euler equations in $R^N$

By Tianhong Li. 2005

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In this paper we give some special solutions, including some blow-up solutions, to the multi-dimensional Euler equations for compressible gas dynamics. We also show that finite energy implies nonexistence of $\delta$-function blow-up for $\gamma>1$.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/ed1509470198bf9ba9f8e720a5b75782eb350a71