For 3D compressible Euler flow with vorticity and entropy, the time of classical existence is controlled by the H^{2+} norm of the wave-part and Holder/Sobolev norms of a smoother transport-part.
343, Springer, Heidelberg, 2011
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Rough sound waves in $3D$ compressible Euler flow with vorticity
For 3D compressible Euler flow with vorticity and entropy, the time of classical existence is controlled by the H^{2+} norm of the wave-part and Holder/Sobolev norms of a smoother transport-part.