Semi-group theory for the Stokes operator with Navier-type boundary conditions on \(L^{p}\)-spaces

DOI10.1007/s00205-016-1048-1zbMath1359.35143arXiv1601.06019OpenAlexW2252941575WikidataQ59241109 ScholiaQ59241109MaRDI QIDQ512217

Hind Al Baba, Chérif Amrouche, Miguel Escobedo

Publication date: 24 February 2017

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.06019

zbMATH Keywords

regularityStokes problemStokes operatorNavier-type boundary condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Applications of operator theory to differential and integral equations (47N20) Weak solutions to PDEs (35D30) Strong solutions to PDEs (35D35)

Related Items (12)

Energy equality and uniqueness of weak solutions of a ``viscous incompressible fluid \(+\) rigid body system with Navier slip-with-friction conditions in a 2D bounded domain ⋮ The time-dependent Stokes problem with Navier slip boundary conditions on \(L^p\)-spaces ⋮ Instationary Stokes problem with pressure boundary condition in \(L^{p}\)-spaces ⋮ Maximal \(L^{p}-L^{q}\) regularity to the Stokes problem with Navier boundary conditions ⋮ A note on a non-isothermal model for superconductivity ⋮ Global classical solutions for chemotaxis-fluids system with mixed boundary conditions ⋮ One Navier's problem for the Brinkman system ⋮ Semigroup theory for the Stokes operator with Navier boundary condition on \(L^p\) spaces ⋮ The maximum regularity property of the steady Stokes problem associated with a flow through a profile cascade ⋮ Stokes and Navier-Stokes problems with Navier-type boundary condition in L^p-spaces ⋮ \(L^2\)-decay of solutions to the Navier-Stokes system with Navier-type boundary conditions ⋮ On viscous incompressible flows of nonsymmetric fluids with mixed boundary conditions

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