Weighted Hilbert spaces for the stationary exterior Stokes problem with Navier slip boundary conditions

DOI10.1016/j.jmaa.2018.12.026zbMath1412.35217OpenAlexW2905220339WikidataQ128749326 ScholiaQ128749326MaRDI QIDQ1728058

Ulrich Razafison, Mohamed Meslameni, Anis Dhifaoui

Publication date: 21 February 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.12.026

zbMATH Keywords

exterior domainweighted spacesStokes equationsfluid mechanicsNavier slip boundary conditionsKorn's inequalities

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

\(L^p\)-theory for the exterior Stokes problem with Navier's type slip-without-friction boundary conditions ⋮ Global solutions to an initial boundary problem for the compressible 3D MHD equations with Navier-slip and perfectly conducting boundary conditions in exterior domains ⋮ Linearized Navier-Stokes equations with boundary conditions involving the pressure in an exterior domain of \(\mathbb{R}^3\) ⋮ \(L^p\)-strong solution for the stationary exterior Stokes equations with Navier boundary condition ⋮ The scalar Oseen problem in two-dimensional exterior domains ⋮ Very weak solution for the stationary exterior Stokes equations with non‐standard boundary conditions in L^p‐theory ⋮ On the three‐dimensional stationary exterior Stokes problem with non standard boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal microstructures drag reducing mechanism of riblets
• Numerical approximation of second-order elliptic problems in unbounded domains
• On the Navier problem for the stationary Navier-Stokes equations
• Existence, uniqueness and \(L^ q\)-estimates for the Stokes problem in an exterior domain
• On the existence of hydrodynamic motion in a domain with free boundary type conditions
• A well-posed problem for the exterior Stokes equations in two and three dimensions
• Relevance of the slip condition for fluid flows near an irregular boundary
• On the hydrodynamic motion in a domain with mixed boundary conditions: Existence, uniqueness, stability and linearization principle
• On a boundary value problem for a stationary system of Navier-Stokes equations
• Effective boundary conditions for laminar flows over periodic rough boundaries
• The Stokes problem and vector potential operator in three-dimensional exterior domains: An approach in weighted Sobolev spaces
• New estimates for the steady-state Stokes problem in exterior domains with applications to the Navier-Stokes problem
• Weak solutions of the Stokes problem in weighted Sobolev spaces
• Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces
• Inverted finite elements for div-curl systems in the whole space
• Why viscous fluids adhere to rugose walls: A mathematical explanation.
• Weighted Sobolev spaces for Laplace's equation in \(\mathbb{R}^ n\)
• Solving two dimensional second order elliptic equations in exterior domains using the inverted finite elements method
• \(L^p\)-theory for Stokes and Navier-Stokes equations with Navier boundary condition
• Vorticity and regularity for flows under the Navier boundary condition
• Regularity for Stokes and generalized Stokes systems under nonhomogeneous slip-type boundary conditions
• Espaces de Sobolev avec poids application au problème de Dirichlet dans un demi espace
• WeightedL^p‐theory for vector potential operators in three‐dimensional exterior domains
• Navier-Stokes equations with Navier boundary condition
• Wall laws for fluid flows at a boundary with random roughness
• Finite Element Methods for Navier-Stokes Equations
• A stream-function-vorticity variational formulation for the exterior Stokes problem in weighted Sobolev spaces
• Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
• ANOTHER APPROACH TO LINEARIZED ELASTICITY AND A NEW PROOF OF KORN'S INEQUALITY
• THE STOKES PROBLEM IN ℝⁿ: AN APPROACH IN WEIGHTED SOBOLEV SPACES
• Exterior stokes problems and decay at infinity
• Weak solutions for the exterior Stokes problem in weighted Sobolev spaces
• Inverted finite elements: a new method for solving elliptic problems in unbounded domains
• On the roughness-induced effective boundary conditions for an incompressible viscous flow
• The optimal shape of riblets in the viscous sublayer

This page was built for publication: Weighted Hilbert spaces for the stationary exterior Stokes problem with Navier slip boundary conditions