@Article{JMS-49-2,
author = {Rosier, Lionel},
title = {On the Benjamin-Bona-Mahony Equation with a Localized Damping},
journal = {Journal of Mathematical Study},
year = {2016},
volume = {49},
number = {2},
pages = {195--204},
abstract = {<p style="text-align: justify;">We introduce several mechanisms to dissipate the energy in the Benjamin-Bona-Mahony (BBM) equation. We consider either a distributed (localized) feedback
law, or a boundary feedback law. In each case, we prove the global well-posedness
of the system and the convergence towards a solution of the BBM equation which is
null on a band. If the Unique Continuation Property holds for the BBM equation, this
implies that the origin is asymptotically stable for the damped BBM equation.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v49n2.16.06},
url = {https://global-sci.com/article/87799/on-the-benjamin-bona-mahony-equation-with-a-localized-damping}
}