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Joint Meeting of AMS, DMV, and ÖMG
June 16-19, 2005
Johannes Gutenberg University
Mainz, Germany

Organizers
Volker Bach, Mainz; Klaus D. Bierstedt, DMV; Susan Friedlander, Associate Secretary, AMS

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Quaternion analytic methods for the treatment of Oseen' s equation
by
Wolfgang Sproessig
TU Freiberg, Germany

Let G Ì Rn (n ³ 3) be a bounded domain with smooth boundary G. We consider the following IBV-problem
rt u-nDu+(rv·grad)u +div p=f    in    G

div u=0   in    G

u=g   on    G,
which was obtained by C.W. Oseen by linearization of Navier-Stokes equations. Here v describes a solution of the corresponding Stokes system, r is the density of the incompressible fluid and n the dynamic viscosity. After semidiscretisation by the aid of a quaternionic operator calculus an iterative method will be derived.

Date received: March 31, 2005

Copyright © 2005 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 # caqo-69.