paper

Blow-up Phenomena for Compressible Euler Equations with Non-vacuum Initial Data

arXiv:1510.05095 · doi:10.1007/s00033-015-0535-9

Abstract

In this article, we study the blowup phenomena of compressible Euler equations with non-vacuum initial data. Our new results, which cover a general class of testing functions, present new initial value blowup conditions. The corresponding blowup results of the 1-dimensional case in non-radial symmetry are also included.

19 pages, Key Words: Euler Equations, Integration Method, Blowup, Radial Symmetry, Non-vacuum, Initial Value Problems

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