On critical spaces for the Navier-Stokes equations

DOI10.1007/s00021-017-0342-5zbMath1458.76026arXiv1703.08714OpenAlexW2599912431MaRDI QIDQ721413

Mathias Wilke, Jan W. Prüss

Publication date: 19 July 2018

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.08714

zbMATH Keywords

functional calculusNavier boundary conditionsperfect-slip boundary conditionsstrong Stokes operatorweak Stokes operator

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (13)

Nonlinear parabolic stochastic evolution equations in critical spaces. II: Blow-up criteria and instantaneous regularization ⋮ 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* ⋮ Maximal \(L^{p}-L^{q}\) regularity to the Stokes problem with Navier boundary conditions ⋮ A discrete framework for the interpolation of Banach spaces ⋮ Linear and quasilinear evolution equations in the context of weighted \(L_p\)-spaces ⋮ Stochastic Navier-Stokes equations for turbulent flows in critical spaces ⋮ On the Motion of a Fluid-Filled Rigid Body with Navier Boundary Conditions ⋮ \(H^\infty\)-calculus for generalized Stokes operators ⋮ On the free rotations of rigid bodies with a liquid-filled gap ⋮ On the Navier-Stokes equations on surfaces ⋮ \(H^\infty\)-calculus for the surface Stokes operator and applications ⋮ Elliptic and parabolic boundary value problems in weighted function spaces

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