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Seminar on microlocal analysis and applications
Boundary Stabilisation of Waves on Product Manifolds
Boundary Stabilisation of Waves on Product Manifolds
Organizers
Xi Chen
,
Long Jin
Speaker
Ruoyu P. T. Wang
Time
Friday, November 12, 2021 10:00 AM - 11:00 AM
Venue
1129B
Online
Zoom 618 038 6257
(SCMS)
Abstract
Take a square and consider the damped waves with boundary damping $a>0$ on the top side only. This system models the acoustic waves in a square domain, where the top side is made of dissipative materials leading to the loss of energy whenever the waves interact with the top side. We will discuss my recent result implying that the energy of those waves must uniformly decay no faster than $t^{-1/2}$, and no slower than it. We will also discuss this result in the context of product manifolds where the transverse geometric control is sufficient but not necessary for such energy decay.