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arXiv:1204.0460 [math.AP]AbstractReferencesReviewsResources

Shock-free Solutions of the Compressible Euler Equations

Geng Chen, Robin Young

Published 2012-04-02Version 1

We study the structure of shock-free solutions of the compressible Euler equations with large data. We describe conditions under which the Rarefactive/Compressive character of solutions changes, and conditions under which the vacuum is formed asymptotically. We present several new examples of shock-free solutions, which demonstrate a large variety of behaviors.

Comments: 35 pages
Categories: math.AP
Subjects: 35L65, 76N15, 35L67
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