Global existence of weak solutions to 3D compressible primitive equations with degenerate viscosity

DOI10.1063/1.5120088zbMath1434.35066arXiv1712.04180OpenAlexW3007403179MaRDI QIDQ5110733

Changsheng Dou, Fengchao Wang, Quan-sen Jiu

Publication date: 22 May 2020

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

Full work available at URL: https://arxiv.org/abs/1712.04180

zbMATH Keywords

entropyviscosityfunctional analysishydrostaticsatmospheric dynamicsequations of fluid dynamicsmathematical theories

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Compressible Navier-Stokes equations (76N06)

Related Items

Global well-posedness of z-weak solutions to the primitive equations without vertical diffusivity ⋮ Local existence and uniqueness of strong solutions to the two dimensional nonhomogeneous incompressible primitive equations ⋮ Global weak solutions to the \(\alpha\)-model regularization for 3D compressible Euler-Poisson equations ⋮ On the hydrostatic approximation of compressible anisotropic Navier-Stokes equations-rigorous justification ⋮ Incompressible limit of the compressible primitive equations with gravity: well-prepared initial data ⋮ The primitive equations approximation of the anisotropic horizontally viscous \(3D\) Navier-Stokes equations ⋮ On weak-strong uniqueness and singular limit for the compressible primitive equations ⋮ Zero Mach number limit of the compressible primitive equations: well-prepared initial data ⋮ Local existence and uniqueness of strong solution to the inhomogeneous primitive equations with vacuum ⋮ Global well-posedness of strong solutions to the 2D nonhomogeneous incompressible primitive equations with vacuum ⋮ Local well-posedness of strong solutions to the three-dimensional compressible primitive equations ⋮ Local existence and uniqueness of strong solutions to the two dimensional compressible primitive equations with density-dependent viscosity

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