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Abstract

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 $v, \rho \in H^s, \varpi \in H^{s_0} (2<s_0<s)$. It's an
alternative and simplified proof of the result given by Q. Wang in
\cite{WQEuler}.