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On the rough solutions of 3D compressible Euler equations: an alternative proof
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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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Cited by 1 Pith paper
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Low-Regularity Local Well-Posedness for the Elastic Wave System
The 3D elastic wave system for admissible harmonic materials is shown to be locally well-posed with the divergence part in H^{3+} and the curl part in H^{4+}, the first low-regularity result for multi-wave-speed systems.
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