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

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dc.creatorGalaktionov, V. A.
dc.date2009-02-11
dc.date.accessioned2026-07-07T12:40:32Z
dc.date.available2026-07-07T12:40:32Z
dc.descriptionA 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.
dc.description16 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/0902.1840
dc.identifierhttp://arxiv.org/abs/0902.1840
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219473
dc.subjectAnalysis of PDEs
dc.subject35K55, 35K65
dc.titleOn blow-up shock waves for a nonlinear PDE associated with Euler equations
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