Formation of Point Shocks for 3D Compressible Euler

DOI10.1002/cpa.22068zbMath1527.35230arXiv1912.04429MaRDI QIDQ6049730

Steve Shkoller, Vlad C. Vicol, Tristan Buckmaster

Publication date: 11 October 2023

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.04429

zbMATH Keywords

blow-upshocksideal gas lawcompressible Euler equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Methods of ordinary differential equations applied to PDEs (35A24) Self-similar solutions to PDEs (35C06) Euler equations (35Q31)

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On the implosion of a compressible fluid. II: Singularity formation ⋮ Asymptotically Self-Similar Shock Formation for 1D Fractal Burgers’ Equation ⋮ Delayed singularity formation for three‐dimensional compressible Euler equations with non‐zero vorticity ⋮ A convergent finite volume scheme for the stochastic barotropic compressible Euler equations ⋮ The relativistic Euler equations: ESI notes on their geo-analytic structures and implications for shocks in 1D and multi-dimensions

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