Instationary Stokes problem with pressure boundary condition in \(L^{p}\)-spaces

DOI10.1007/s00028-016-0331-9zbMath1372.76036OpenAlexW2344084845MaRDI QIDQ2408469

Hind Al Baba, Nour El Houda Seloula, Chérif Amrouche

Publication date: 12 October 2017

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-016-0331-9

zbMATH Keywords

Stokes operatorpressure boundary conditionsresolvent estimatesemi-group

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Initial-boundary value problems for second-order parabolic equations (35K20) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (3)

Regularity criteria for nonhomogeneous magneto-micropolar fluid equations with vacuum ⋮ One Navier's problem for the Brinkman system ⋮ Stokes and Navier-Stokes problems with Navier-type boundary condition in L^p-spaces

Cites Work

• Semi-group theory for the Stokes operator with Navier-type boundary conditions on \(L^{p}\)-spaces
• Stationary Stokes, Oseen and Navier-Stokes equations with singular data
• On the Navier-Stokes system with pressure boundary condition
• Semigroups of linear operators and applications to partial differential equations
• Weighted Sobolev spaces for Laplace's equation in \(\mathbb{R}^ n\)
• Analyticity of the semi-group generated by the Stokes operator with Navier-type boundary conditions on 𝐿^{𝑝}-spaces
• On pressure boundary conditions for the incompressible Navier-Stokes equations
• Vector potentials in three-dimensional non-smooth domains
• Functional Analysis
• Navier‐Stokes equations with imposed pressure and velocity fluxes
• Lp-Theory for Incompressible Newtonian Flows
• L^p-THEORY FOR VECTOR POTENTIALS AND SOBOLEV'S INEQUALITIES FOR VECTOR FIELDS: APPLICATION TO THE STOKES EQUATIONS WITH PRESSURE BOUNDARY CONDITIONS
• On a Class of Energy Preserving Boundary Conditions for Incompressible Newtonian Flows
• ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
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