Blowup phenomena of the compressible Euler equations

DOI10.1016/j.jmaa.2010.04.048zbMath1196.35158OpenAlexW1996685921MaRDI QIDQ984808

Zhilei Liang

Publication date: 20 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.04.048

zbMATH Keywords

phase plane analysisblowupcompressible Euler equations

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Blow-up in context of PDEs (35B44) Euler equations (35Q31)

Related Items (3)

The isothermal Euler equations for ideal gas with source term: product solutions, flow reversal and no blow up ⋮ Blowup of solutions for the compressible Navier-Stokes equations with density-dependent viscosity coefficients ⋮ Perturbational blowup solutions to the 2-component Camassa-Holm equations

Cites Work

• Blow-up phenomena of solutions to the Euler equations for compressible fluid flow
• Formation of singularities in three-dimensional compressible fluids
• Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
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