On blow-up shock waves for a nonlinear PDE associated with Euler equations

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A second-order PDE is derived from Euler's equaitons under certain assumptions. It is shown that this PDE admits shock and rarefaction waves, and that a single point gradient blow-up admits a unique similarity extension after blow-up that settles uniqueness/entropy issues for such equations.
16 pages, 8 figures

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Analysis of PDEs, 35K55, 35K65

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http://salesiana.dossiersoluciones.com/handle/123456789/219473

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0902.1840
 http://arxiv.org/abs/0902.1840

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arXiv