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

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Galaktionov, V. A.
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Abstract
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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.
Comment: 16 pages, 8 figures
Keywords
Mathematics - Analysis of PDEs, 35K55, 35K65
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