On global axisymmetric solutions to 2D compressible full Euler equations of Chaplygin gases

DOI10.3934/dcds.2020083zbMath1437.35458OpenAlexW2994987851MaRDI QIDQ2301690

Fei Hou, Hui Cheng Yin

Publication date: 25 February 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020083

zbMATH Keywords

vorticitysmall initial datanull conditionweighted \(L^\infty\)-\(L^\infty\) estimates

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Initial value problems for first-order hyperbolic systems (35L45) Euler equations (35Q31)

Related Items (6)

Incompressible limit of Euler equations with damping ⋮ Formation of singularities of solutions to the compressible Euler equations for a Chaplygin gas ⋮ Global smooth solutions to the two dimensional compressible Euler equations with the rotational Coriolis forcing ⋮ Delayed singularity formation for three‐dimensional compressible Euler equations with non‐zero vorticity ⋮ Long time existence of smooth solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity ⋮ Global existence of the two-dimensional axisymmetric Euler equations for the Chaplygin gas with large angular velocities

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