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Equadiff 2003 - International Conference on Differential Equations
July 22-26, 2003
LUC Diepenbeek
Hasselt, Belgium

Organizers
Freddy Dumortier (Chair, LUC Diepenbeek), Henk Broer (Univ. Groningen), Jean-Pierre Gossez (Univ. Libre Bruxelles), Jean Mawhin (Univ. Cath. Louvain-la-Neuve), Andre Vanderbauwhede (Univ. Gent), Sjoerd Verduyn Lunel (Univ. Leiden)

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Flow around rotating obstacles-analysis of a singular integral operator
by
Reinhard Farwig
Fachbereich Mathematik, Darmstadt University of Technology
Coauthors: Toshiaki Hishida (Niigata University), Detlef Müller (University of Kiel)

We analyze in classical Lq(Rn)-spaces, n=2 or n=3, 1 < q < \infty, a singular integral operator arising from the linearization of a hydrodynamical problem when modelling the flow around a rotating obstacle. The corresponding system of partial differential equations of second order involves an angular derivative which is not subordinate to the Laplacian, and has a fundamental solution which is not a classical Calderon-Zygmund operator. The main tools are Littlewood-Paley theory and a decomposition of the singular kernel in Fourier space.

Date received: May 26, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # calh-96.