Stokes equations in asymptotically flat layers

• Autorzy: Helmut Abels
• Języki publikacji: EN

Abstrakty

EN

We study the generalized Stokes resolvent equations in asymptotically flat layers, which can be considered as compact perturbations of an infinite (flat) layer $Ω₀ = ℝ^{n-1} × (-1,1)$. Besides standard non-slip boundary conditions, we consider a mixture of slip and non-slip boundary conditions on the upper and lower boundary, respectively. We discuss the results on unique solvability of the generalized Stokes resolvent equations as well as the existence of a bounded $H_∞$-calculus for the associated Stokes operator and some of its consequences, which also yields an application to a free boundary value problem.

Kategorie tematyczne

• 35R35: Free boundary problems
• 76D07: Stokes and related (Oseen, etc.) flows
• 35Q30: Navier-Stokes equations
• 35S15: Boundary value problems for pseudodifferential operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 70
• Numer: 1
• Strony: 9-19

Daty

wydano

2005

Twórcy

autor

Helmut Abels

• Max Planck Institute for Mathematics in the Sciences, Inselstr. 22, 04103 Leipzig, Germany

Identyfikatory

DOI

10.4064/bc70-0-1