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On a resolvent estimate of the Stokes system in a half space arising from a free boundary problem for the Navier–Stokes equations

✍ Scribed by Y. Shibata; S. Shimizu

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
228 KB
Volume
282
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this paper we consider a resolvent problem of the Stokes operator with some boundary condition in the half space, which is obtained as a model problem arising in evolution free boundary problems for viscous, incompressible fluid flow. We show standard resolvent estimates in the L~q~ framework (1 < q < ∞), applying some kernel estimates to concrete solution formulas. The Volevich trick in [21] plays a fundamental role in estimating solutions (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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