JEDNOSTKA NAUKOWA KATEGORII A+

Stokes equations in asymptotically flat layers

Tom 70 / 2005

Helmut Abels Banach Center Publications 70 (2005), 9-19 MSC: 35Q30, 76D07, 35R35, 35S15 DOI: 10.4064/bc70-0-1

Streszczenie

We study the generalized Stokes resolvent equations in asymptotically flat layers, which can be considered as compact perturbations of an infinite (flat) layer $\Omega_0=\mathbb R^{n-1}\times (-1,1)$. 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 $H_\infty$-calculus for the associated Stokes operator and some of its consequences, which also yields an application to a free boundary value problem.

Autorzy

  • Helmut AbelsMax Planck Institute for Mathematics in the Sciences
    Inselstr. 22, 04103 Leipzig, Germany
    e-mail

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek