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arXiv · 1803.07914

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

Kaïs Ammari·Emmanuelle Crépeau
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Abstract

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.

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Kaïs Ammari, Emmanuelle Crépeau. 2018-03-21. Well-posedness and stabilization of the Benjamin-Bona-Mahony equation on star-shaped networks. https://arxiv.org/abs/1803.07914

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