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arXiv · 2104.12299

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

Huali Zhang·Lars Andersson
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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}.

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Huali Zhang, Lars Andersson. 2021-04-26. On the rough solutions of 3D compressible Euler equations: an alternative proof. https://arxiv.org/abs/2104.12299

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