Well-posedness and stabilization of the Benjamin-Bona-Mahony equation on star-shaped networks
classification
🧮 math.AP
keywords
stabilizationbenjamin-bona-mahonyequationstar-shapedwell-posednessactingasymptoticcentral
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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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