Very weak solutions to the stationary Stokes and Stokes resolvent problem in weighted function spaces

DOI10.1007/s11565-008-0038-0zbMath1179.35225OpenAlexW2067319710MaRDI QIDQ1042572

Katrin Schumacher

Publication date: 14 December 2009

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-008-0038-0

zbMATH Keywords

Muckenhoupt weightsboundary valuesvery weak solutionsnonhomogeneous dataStokes resolvent equations

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)

Related Items (17)

The Oseen and Navier-Stokes equations in a non-solenoidal framework ⋮ A Unified Theory for Some Non-Newtonian Fluids Under Singular Forcing ⋮ Existence and uniqueness of very weak solutions to the steady-state Navier-Stokes problem in Lipschitz domains ⋮ The instationary Stokes equations in weighted Bessel-potential spaces ⋮ A large class of solutions for the instationary Navier-Stokes system ⋮ Very weak solutions for the Stokes problem in an exterior domain ⋮ On regularity of weak solutions to the instationary Navier-Stokes system: a review on recent results ⋮ On the Stokes and Oseen problems with singular data ⋮ Very weak solutions for the stationary Stokes equations ⋮ Stationary Stokes, Oseen and Navier-Stokes equations with singular data ⋮ On a generalized Stokes system with slip boundary conditions in the half-space ⋮ A chart preserving the normal vector and extensions of normal derivatives in weighted function spaces ⋮ The stationary Navier-Stokes equations in weighted Bessel-potential spaces ⋮ Very weak solutions and the Fujita-Kato approach to the Navier-Stokes system in general unbounded domains ⋮ Bounded solutions of the Dirichlet problem for the Stokes resolvent system ⋮ Very weak solutions to the rotating Stokes, Oseen and Navier-Stokes problems in weighted spaces ⋮ Very weak solutions to the Navier-Stokes system in general unbounded domains

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