Lionel Rosier
Published 2016-05-31Version 1
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 wellposedness 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 asymp-totically stable for the damped BBM equation.
Well-posedness and stabilization of the Benjamin-Bona-Mahony equation on star-shaped networks
On Special Properties of Solutions to the Benjamin-Bona-Mahony Equation
Global wellposedness of NLS in $H^1(\mathbb{R}) + H^s(\mathbb{T})$
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