A simple proof of -estimates for the steady-state Oseen and Stokes equations in a rotating frame. Part II: Weak solutions

Authors:
Giovanni P. Galdi and Mads Kyed

Journal:
Proc. Amer. Math. Soc. **141** (2013), 1313-1322

MSC (2010):
Primary 35Q30, 35B45, 76D07

DOI:
https://doi.org/10.1090/S0002-9939-2012-11640-5

Published electronically:
August 23, 2012

MathSciNet review:
3008878

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Abstract | References | Similar Articles | Additional Information

Abstract: This is the second of two papers in which simple proofs of -estimates of solutions to the steady-state three-dimensional Oseen and Stokes equations in a rotating frame of reference are given. In this part, estimates are established in terms of data in homogeneous Sobolev spaces of negative order.

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Additional Information

**Giovanni P. Galdi**

Affiliation:
Department of Mechanical Engineering and Materials Science, University of Pittsburgh, Pittsburgh, Pennsylvania 15261

Email:
galdi@pitt.edu

**Mads Kyed**

Affiliation:
Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgartenstrasse 7, D-64289 Darmstadt, Germany

Email:
kyed@mathematik.tu-darmstadt.de

DOI:
https://doi.org/10.1090/S0002-9939-2012-11640-5

Received by editor(s):
August 9, 2011

Published electronically:
August 23, 2012

Additional Notes:
The first author was partially supported by NSF grant DMS-1062381

The second author was supported by the DFG and JSPS as a member of the International Research Training Group Darmstadt-Tokyo IRTG 1529.

Communicated by:
Walter Craig

Article copyright:
© Copyright 2012
American Mathematical Society