Formation of Singularities and Existence of Global Continuous Solutions for the Compressible Euler Equations

DOI10.1137/20M1316603zbMath1485.35293arXiv1905.07758OpenAlexW3213054612MaRDI QIDQ5162768

Geng Chen, Shengguo Zhu, Gui-Qiang G. Chen

Publication date: 5 November 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.07758

zbMATH Keywords

Euler equationscompressible flowsingularity formationcontinuous solutionnonisentropicfar-field vacuum

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items (4)

Development of singularities in the relativistic Euler equations ⋮ Singularity for the one-dimensional rotating Euler equations of Chaplygin gases ⋮ Singularity Formation for Radially Symmetric Expanding Wave of Compressible Euler Equations ⋮ Smooth solution of multi-dimensional nonhomogeneous conservation law: its formula, and necessary and sufficient blowup criterion

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