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Southeastern-Atlantic Regional Conference on Differential Equations
October 19-20, 2007
Murray State University
Murray, Kentucky, USA

Organizers
K. Renee Fister, Maeve McCarthy

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Time Periodic Solution of the Korteweg-de Vries Equation on a Bounded Domain and Its Stability
by
Muhammad Usman
University of Dayton
Coauthors: Bing-Yu Zhang

In this talk we discuss the Korteweg-de Vries (KdV) equation posed on a finite domain with periodic boundary forcings. It is demonstrated that if the amplitude of boundary forcings are small, then the system admits a unique time periodic solution. Moreover it is shown that this time periodic solution is exponentially stable.

Date received: September 24, 2007

Copyright © 2007 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 # cavc-32.