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arXiv:1803.07914 [math.AP]AbstractReferencesReviewsResources

Well-posedness and stabilization of the Benjamin-Bona-Mahony equation on star-shaped networks

Kaïs Ammari, Emmanuelle Crépeau

Published 2018-03-21Version 1

We study the stabilization issue of the Benjamin-Bona-Mahony (BBM) equation on a finite star-shaped network with a damping term acting on the central node. In a first time, we prove the well-posedness of this system. Then thanks to the frequency domain method, we get the asymptotic stabilization result.

Categories: math.AP
Subjects: 35L05, 35M10
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