Local existence of solutions to the free boundary value problem for the primitive equations of the ocean

DOI10.1063/1.4753991zbMath1278.76011OpenAlexW1967228029MaRDI QIDQ2872364

Igor Kukavica, Mihaela Ignatova, Mohammed Ziane

Publication date: 14 January 2014

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

Full work available at URL: https://semanticscholar.org/paper/53f28e2632645874627f65b82fd72ca958a2e45d

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Hydrology, hydrography, oceanography (86A05) Meteorology and atmospheric physics (86A10) Stability and instability of geophysical and astrophysical flows (76E20) Free-surface potential flows for incompressible inviscid fluids (76B07) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items

Almost global existence for the Prandtl boundary layer equations ⋮ Global existence and asymptotic stability of the free boundary problem of the primitive equations with heat insulation ⋮ Local well-posedness of strong solutions to the three-dimensional compressible primitive equations ⋮ Local-in-time solvability and space analyticity for the Navier-Stokes equations with BMO-type initial data ⋮ Global Existence of Weak Solutions to the Compressible Primitive Equations of Atmospheric Dynamics with Degenerate Viscosities ⋮ Local analyticity radii of solutions to the 3D Navier-Stokes equations with locally analytic forcing

Cites Work

• Unnamed Item
• On hydrostatic free surface problems
• Pathwise solutions of the 2-D stochastic primitive equations
• Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain
• Entire solutions of hydrodynamical equations with exponential dissipation
• Analyticity of solutions for a generalized Euler equation
• Gevrey class regularity for the solutions of the Navier-Stokes equations
• Simulations of the 2.5D inviscid primitive equations in a limited domain
• Optimal control of the primitive equations of the ocean with state constraints
• Existence and uniqueness of solutions for the hydrostatic Euler equations on a bounded domain with analytic data
• Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
• The 3D primitive equations in the absence of viscosity: boundary conditions and well-posedness in the linearized case
• Existence of a solution `in the large' for the 3D large-scale ocean dynamics equations
• Boundary conditions for the 2D linearized PEs of the ocean in the absence of viscosity
• On the radius of analyticity of solutions to the three-dimensional Euler equations
• New formulations of the primitive equations of atmosphere and applications
• On the equations of the large-scale ocean
• Finite Dimensional Behaviors of the Primitive Equations Under Small Depth Assumption
• Weather Prediction by Numerical Process
• On the regularity of the primitive equations of the ocean