On the global existence and blowup of smooth solutions to the multi-dimensional compressible Euler equations with time-depending damping

DOI10.1088/1361-6544/aa6d93zbMath1373.35229arXiv1606.08935OpenAlexW3105180854MaRDI QIDQ5348116

Hui Cheng Yin, Fei Hou

Publication date: 14 August 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.08935

zbMATH Keywords

dampingblowuphypergeometric functioncompressible Euler equationtime-weighted energy inequality

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Second-order nonlinear hyperbolic equations (35L70) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Classical hypergeometric functions, ({}_2F_1) (33C05) Blow-up in context of PDEs (35B44) Euler equations (35Q31)

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