On the rough solutions of 3D compressible Euler equations: an alternative proof

Autoren: Huali Zhang, Lars Andersson (2021)

The well-posedness of Cauchy problem of 3D compressible Euler equations is studied. By using Smith-Tataru's approach \cite{ST}, we prove the local existence, uniqueness and stability of solutions for Cauchy problem of 3D compressible Euler equations, where the initial data of velocity, density, specific vorticity v,ρHs,ϖHs0(2<s0<s). It's an alternative and simplified proof of the result given by Q. Wang in \cite{WQEuler}.


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