Analyticity of solutions to the primitive equations
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Publication:5109384
DOI10.1002/mana.201700401OpenAlexW2766342531MaRDI QIDQ5109384
Takahito Kashiwabara, Mathis Gries, Yoshikazu Giga, Matthias Hieber, Amru Hussein
Publication date: 11 May 2020
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.04860
PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) One-parameter semigroups and linear evolution equations (47D06) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items (13)
Global wellposedness of the primitive equations with nonlinear equation of state in critical spaces ⋮ Partial and full hyper-viscosity for Navier-Stokes and primitive equations ⋮ The hydrostatic Stokes semigroup and well-posedness of the primitive equations on spaces of bounded functions ⋮ Refined decay estimate and analyticity of solutions to the linear heat equation in homogeneous Besov spaces ⋮ Linear and quasilinear evolution equations in the context of weighted \(L_p\)-spaces ⋮ Data assimilation to the primitive equations with \(L^p\)-\(L^q\)-based maximal regularity approach ⋮ 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 ⋮ Global well-posedness of the ocean primitive equations with nonlinear thermodynamics ⋮ The hydrostatic approximation for the primitive equations by the scaled Navier-Stokes equations under the no-slip boundary condition ⋮ The primitive equations in the scaling-invariant space \(L^{\infty}(L^1)\)
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