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

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

2009-02-11

arxiv.org/abs/0902.1840v1

Mathematics

Analysis of PDEs

16 pages, 8 figures

Scientific paper

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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