Blowup for regular solutions and \(C^1\) solutions of Euler equations in \(\mathbb{R}^N\) with a free boundary

DOI10.1016/j.euromechflu.2017.09.017zbMath1408.76432OpenAlexW2762037647WikidataQ59292107 ScholiaQ59292107MaRDI QIDQ1672473

Manwai Yuen

Publication date: 10 September 2018

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2017.09.017

zbMATH Keywords

vacuuminitial value problemsblowupfree boundary problemsclassical solutionsregular solutionscompressible Euler equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Blow-up in context of PDEs (35B44) Euler equations (35Q31)

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Blowup of regular solutions and \(C^1\) solutions for free boundary problem of Euler-Poisson equations with repulsive force in \({\mathbb{R}}^n \), Singularities of solutions to compressible Euler equations with damping, Unnamed Item, Blowup for projected 2-dimensional rotational \(\mathrm{C}^2\) solutions of compressible Euler equations, Blowup of smooth solutions to the compressible Euler equations with radial symmetry on bounded domains

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