Shock-free Solutions of the Compressible Euler Equations

Details Shock-free Solutions of the Compressible Euler Equations Shock-free Solutions of the Compressible Euler Equations

2012-04-02

arxiv.org/abs/1204.0460v1

Mathematics

Analysis of PDEs

35 pages

Scientific paper

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.

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