On the quasi-geostrophic equations on compact closed surfaces in \(\mathbb{R}^3\)

DOI10.1016/j.jfa.2016.12.012zbMath1357.35203OpenAlexW2560892458MaRDI QIDQ507424

Jan W. Prüss

Publication date: 6 February 2017

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2016.12.012

zbMATH Keywords

Laplace-Beltrami operatorglobal well-posednessmaximal \(L_p\)-regularityexponential convergence to equilibria

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) PDEs in connection with fluid mechanics (35Q35) Degenerate parabolic equations (35K65) General theory of rotating fluids (76U05) Nonlinear evolution equations (47J35)

Related Items (7)

Nonlinear parabolic stochastic evolution equations in critical spaces. II: Blow-up criteria and instantaneous regularization ⋮ Preface. Special issue dedicated to Jan Prüss on the occasion of his 65th birthday ⋮ Critical spaces for quasilinear parabolic evolution equations and applications ⋮ Pointwise multiplication by the characteristic function of the half-space on anisotropic vector-valued function spaces ⋮ Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence* ⋮ On critical spaces for the Navier-Stokes equations ⋮ Upper and lower bounds of decay rates for \(\dot{H}^{- \frac{1}{2}}\) weak solutions of the surface quasi-geostrophic equation

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