Global smooth axisymmetric solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity

DOI10.1016/j.jde.2019.03.038zbMath1420.35212arXiv1810.11615OpenAlexW2963570380WikidataQ128102165 ScholiaQ128102165MaRDI QIDQ2420510

Fei Hou, Hui Cheng Yin

Publication date: 6 June 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.11615

zbMATH Keywords

global solutioncompressible Euler equationsnull conditionweighted energy estimateChaplygin gasesghost weight

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Hydro- and aero-acoustics (76Q05) Initial value problems for first-order hyperbolic systems (35L45) Blow-up in context of PDEs (35B44) Euler equations (35Q31)

Related Items (8)

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 ⋮ On global smooth solutions of 3-D compressible Euler equations with vanishing density in infinitely expanding balls ⋮ On global axisymmetric solutions to 2D compressible full Euler equations of Chaplygin gases ⋮ Global smooth solutions to 3D irrotational Euler equations for Chaplygin gases ⋮ Global existence of the two-dimensional axisymmetric Euler equations for the Chaplygin gas with large angular velocities

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