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)
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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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