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

2021/04/26 by Huali Zhang, Lars Andersson, Zhang, Huali +1 · 1 citation
Mathematics · #Navier-Stokes equation solutions #Geometric Analysis and Curvature Flows #Advanced Mathematical Physics Problems

paper · pdf · doi:10.48550/arxiv.2104.12299

Abstract

The well-posedness of Cauchy problem of 3D compressible Euler equations is studied. By using Smith-Tataru's approach \citeST, 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, ρ∈ H^s, \varpi ∈ H^s₀ (2

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