Global strong \(L^{p}\) well-posedness of the 3D primitive equations with heat and salinity diffusion

DOI10.1016/j.jde.2016.09.010zbMath1351.35139arXiv1605.02614OpenAlexW2387994459MaRDI QIDQ329258

Matthias Hieber, Takahito Kashiwabara, Amru Hussein

Publication date: 21 October 2016

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

Full work available at URL: https://arxiv.org/abs/1605.02614

zbMATH Keywords

primitive equationsglobal strong well-posedness

Mathematics Subject Classification ID

Related Items (18)

Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity ⋮ Global wellposedness of the primitive equations with nonlinear equation of state in critical spaces ⋮ Global well-posedness of z-weak solutions to the primitive equations without vertical diffusivity ⋮ The primitive equations approximation of the anisotropic horizontally viscous \(3D\) Navier-Stokes equations ⋮ Convergence results on the boundary conditions for 2D large-scale primitive equations in oceanic dynamics ⋮ Data assimilation to the primitive equations with \(L^p\)-\(L^q\)-based maximal regularity approach ⋮ On the rigorous mathematical derivation for the viscous primitive equations with density stratification ⋮ The primitive equations with stochastic wind driven boundary conditions ⋮ Rigorous derivation of the full primitive equations by the scaled Boussinesq equations with rotation ⋮ Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier–Stokes equations* ⋮ Analysis of Viscous Fluid Flows: An Approach by Evolution Equations ⋮ The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation ⋮ Strong solutions to the 3D primitive equations with only horizontal dissipation: near \(H^{1}\) initial data ⋮ Global well-posedness for the 3D primitive equations in anisotropic framework ⋮ Global well-posedness of the ocean primitive equations with nonlinear thermodynamics ⋮ The primitive equations in the scaling-invariant space \(L^{\infty}(L^1)\) ⋮ Continuous dependence of 2D large scale primitive equations on the boundary conditions in oceanic dynamics. ⋮ Bounded 𝐻^{∞}-calculus for the hydrostatic Stokes operator on 𝐿^{𝑝}-spaces and applications

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