Blow up criterion for the 2D full compressible Navier–Stokes equations involving temperature in critical spaces

DOI10.1063/5.0024184zbMath1472.35293OpenAlexW3158986101MaRDI QIDQ4990989

Quan-sen Jiu, Yuelong Xiao, Jie Fan, Yan Qing Wang

Publication date: 2 June 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0024184

zbMATH Keywords

self-similar solutionsstructural stabilityentropy solutionssteady flowBVperturbed conessupersonic isothermal flowconical shocks

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Supersonic flows (76J20) Blow-up in context of PDEs (35B44) Axially symmetric solutions to PDEs (35B07)

Related Items (3)

Regularity criterion for a two dimensional Carreau fluid flow ⋮ A new blow-up criterion for the 2D full compressible Navier-Stokes equations without heat conduction in a bounded domain ⋮ Global well-posedness and exponential decay rates of the strong solutions to the two-dimensional full compressible magnetohydrodynamics equations with vacuum in some class of large initial data

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