On blow-up shock waves for a nonlinear PDE associated with Euler equations
classification
🧮 math.AP
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blow-upadmitsequationseulershockwavesassociatedassumptions
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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.
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