Local existence and uniqueness of strong solutions to the two dimensional compressible primitive equations with density-dependent viscosity

DOI10.1007/s00021-021-00604-zzbMath1485.35120OpenAlexW3179108249MaRDI QIDQ2050585

Fengchao Wang

Publication date: 31 August 2021

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-021-00604-z

zbMATH Keywords

strong solutionsdensity-dependent viscositycompressible primitive equationsatmospheric model

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Meteorology and atmospheric physics (86A10) Strong solutions to PDEs (35D35)

Cites Work

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• Existence of a global weak solution to compressible primitive equations
• Strong solutions to the 3D primitive equations with only horizontal dissipation: near \(H^{1}\) initial data
• Local and global well-posedness of strong solutions to the 3D primitive equations with vertical Eddy diffusivity
• Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity
• Global well-posedness of the \(3D\) primitive equations with partial vertical turbulence mixing heat diffusion
• On the stability of weak solution for compressible primitive equations
• Uniqueness of the global weak solutions to 2D compressible primitive equations
• On the motion of a viscous compressible fluid driven by a time-periodic external force
• Mathematical theory for the coupled atmosphere-ocean models (CAO III)
• Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity
• Local existence and uniqueness of strong solutions to the two dimensional nonhomogeneous incompressible primitive equations
• Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics
• Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
• Existence and Uniqueness of Weak Solutions to Viscous Primitive Equations for a Certain Class of Discontinuous Initial Data
• Compressible primitive equations: formal derivation and stability of weak solutions
• Global Well-Posedness of the Three-Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion
• A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
• New formulations of the primitive equations of atmosphere and applications
• On the equations of the large-scale ocean
• On the Two-Dimensional Hydrostatic Navier--Stokes Equations
• Strong Solutions of the Navier–Stokes Equations for Nonhomogeneous Incompressible Fluids
• 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
• On the regularity of the primitive equations of the ocean
• Uniqueness theorems and successive approximations

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