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Fourth Mississippi State Conference on Differential Equations and Computational Simulations
May 21-22, 1999
Mississippi State University and Electronic Journal of Differential Equations
Starkville, MS, USA

Organizers
Ratnasingham Shivaji, Bharat Soni, Jianping Zhu (Program Chair)

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Velocity-current formulation of an MHD flow problem with mixed boundary conditions.
by
Maria V Charina
Auburn University
Coauthors: A. J. Meir, P. G. Schmidt

We consider the equations of stationary, viscous, imcompressible magnetohydrodynamics in a bounded three-dimentional domain with mixed boundary conditions. The flow is described by the Navier-Stockes and Maxwell's equations. We will show that the system of differential equations together with prescribed boundary conditions is equivalent to a certain variational problem and prove its well-posedness (existence and uniqueness of its solution) for small data.

Date received: March 30, 1999

Copyright © 1999 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 # cacr-34.