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

V. A. Galaktionov

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arXiv · 0902.1840

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

V. A. Galaktionov

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Abstract

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.

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V. A. Galaktionov. 2009-02-11. On blow-up shock waves for a nonlinear PDE associated with Euler equations. https://arxiv.org/abs/0902.1840

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