From Strong to Very Weak Solutions to the Stokes System with Navier Boundary Conditions in the Half-Space

DOI10.1137/090749207zbMath1197.35188OpenAlexW1964563735MaRDI QIDQ4931686

Chérif Amrouche, Yves Raudin, Šarka Matušú-Nečasová

Publication date: 30 September 2010

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090749207

zbMATH Keywords

weighted Sobolev spacesStokes problemhalf-space

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Variational methods for elliptic systems (35J50) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)

Related Items (3)

New estimates for the div-curl-grad operators and elliptic problems with \(L^{1}\)-data in the whole space and in the half-space ⋮ Very weak solution for the stationary exterior Stokes equations with non‐standard boundary conditions in L^p‐theory ⋮ On a generalized Stokes system with slip boundary conditions in the half-space

This page was built for publication: From Strong to Very Weak Solutions to the Stokes System with Navier Boundary Conditions in the Half-Space