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Fifth International Conference on Dynamic Systems and Applications
May 30 - June 2, 2007
Morehouse College
Atlanta, Georgia, USA |
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Organizers
M. Sambandham, Morehouse College, IFNA
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Properties of Solutions of Nonlinear Hyperbolic Equations with a Damping Term
by
Jianmin Zhu
Department of Mathematics and Computer Science, Fort Valley State University, Fort Valley, GA 31030-4313
Let D be a bounded connected domain in Rn with a piecewise smooth boundary ∂D, W = D×(0, T), T ≤ ∞, and ∂W = ∂D×[ 0, T) . The hyperbolic initial-boundary value problem,
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utt-Du+a(t)ut| ut| q-1=b |
æ
è
|
1
1-u
|
ö
ø
|
p
|
in W, |
|
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u( x, 0) = u0( x) , ut( x, 0) = u1(x) for x ∈ D; u( x, t) = 0 on ∂W, |
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where p > 1, q > 1, and b > 0 are given positive constants and a(t) is a
given function of t, is studied. Properties of solutions of the problem are discussed.
Date received: March 29, 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 # cauu-18.