Incompressible limit of the compressible primitive equations with gravity: well-prepared initial data

DOI10.1016/j.jde.2022.07.028zbMath1497.35360OpenAlexW4287446895MaRDI QIDQ2168020

Pengcheng Mu, Yichen Dai

Publication date: 31 August 2022

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

Full work available at URL: https://doi.org/10.1016/j.jde.2022.07.028

zbMATH Keywords

gravityincompressible limitcompressible primitive equationswell-prepared data

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Meteorology and atmospheric physics (86A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Geophysical flows (76U60)

Related Items (1)

Local existence and uniqueness of strong solution to the inhomogeneous primitive equations with vacuum

Cites Work

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• Global existence of weak solutions to 3D compressible primitive equations with degenerate viscosity
• Global Existence of Weak Solutions to the Compressible Primitive Equations of Atmospheric Dynamics with Degenerate Viscosities
• Sobolev and Gevrey regularity results for the primitive equations in three space dimensions

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