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Shock-free Solutions of the Compressible Euler Equations

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.

preprint2012arXivOpen access
Geng ChenRobin Young
math.AP
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Geng ChenRobin Young

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