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• # Artykuł - szczegóły

## Banach Center Publications

2005 | 70 | 1 | 9-19

## Stokes equations in asymptotically flat layers

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.

9-19

wydano
2005

### Twórcy

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