Blowup phenomena for the \(N\)-dimensional compressible Euler equations with damping

DOI10.1007/s00033-017-0770-3zbMath1369.35048OpenAlexW2576603530MaRDI QIDQ2358978

Ka-Luen Cheung

Publication date: 27 June 2017

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-017-0770-3

zbMATH Keywords

dampingEuler equationsblowupradial symmetrycompressiblefinite propagation speed

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Blow-up in context of PDEs (35B44) Euler equations (35Q31)

Related Items (5)

Classical solutions for 1D compressible Euler equations with over damping ⋮ Vacuum and singularity formation for compressible Euler equations with time-dependent damping ⋮ Singularities of solutions to compressible Euler equations with damping ⋮ New weighted functional for non-existence of global solutions to the non-isentropic compressible Euler equations ⋮ On finite-time blowup mechanism of irrotational compressible Euler equations with time-dependent damping

Cites Work

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• Formation of singularities in the Euler and Euler-Poisson equations
• Singularities of solutions to compressible Euler equations with vacuum
• Blowup of the axis-symmetric solutions for the IBVP of the isentropic Euler equations
• Long Time Behavior of Solutions to the 3D Compressible Euler Equations with Damping

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