Abstract:
Considered is the modified Kawahara equation posed on a finite interval. Models with and without a localized damping term are studied. It is shown that solutions to undamped problems may not decay if the length of the interval is critical. In contrast, the energy associated to the locally damped problems is shown to be exponentially decreased independently of the interval length.
Jointed work with: Fágner D. Araruna and Roberto A. Capistrano-Filho |