Uniqueness of the global weak solutions to 2D compressible primitive equations

DOI10.1016/j.jmaa.2017.12.035zbMath1406.35281OpenAlexW2774761274MaRDI QIDQ1706566

Fengchao Wang, Ming-Jie Li, Quan-sen Jiu

Publication date: 22 March 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.12.035

zbMATH Keywords

weak solutionuniquenessglobal existence and uniquenesscompressible primitive equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (9)

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 ⋮ The primitive equations approximation of the anisotropic horizontally viscous \(3D\) Navier-Stokes equations ⋮ Global existence of weak solutions to 3D compressible primitive equations with degenerate viscosity ⋮ 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 existence and uniqueness of strong solutions to the two dimensional compressible primitive equations with density-dependent viscosity ⋮ The applications of some basic mathematical inequalities on the convergence of the primitive equations of moist atmosphere ⋮ Continuous dependence of 2D large scale primitive equations on the boundary conditions in oceanic dynamics.

Cites Work

• 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
• On the uniqueness of weak solutions of the two-dimensional primitive equations.
• Existence and regularity results for the primitive equations in two space dimensions
• 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
• Existence of weak solutions and trajectory attractors for the moist atmospheric equations in geophysics
• New formulations of the primitive equations of atmosphere and applications
• On the Two-Dimensional Hydrostatic Navier--Stokes Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Uniqueness of the global weak solutions to 2D compressible primitive equations