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28th Southeastern-Atlantic Regional Conference on Differential Equations
October 10-11, 2008
University of Arkansas at Little Rock
Little Rock Arkansas, USA

Organizers
Eric R. Kaufmann, Nickolai Kosmatov

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Global existence and Blow up for higher order Boussinesq systems.
by
Dé Godefroy Akmel
Université d'Abidjan Cocody

In this paper, we deal with higher order Boussinesq systems of equations that has been presented by Bona, Chen, Saut in [1]. We show that the solutions of these systems with a nonlinear power a > 1 are global and decay in time for small initial data. We show also that they blow up in finite time.

Date received: April 4, 2008

Copyright © 2008 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 # caww-02.