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SUMMARY:Stabilization and controllability results for the KdV equation on
a star-shaped network
DTSTART;VALUE=DATE-TIME:20230214T130000Z
DTEND;VALUE=DATE-TIME:20230214T140000Z
DTSTAMP;VALUE=DATE-TIME:20230324T194400Z
UID:indico-event-8857@indico.math.cnrs.fr
DESCRIPTION:Speakers: Hugo Parada (Univ. Grenoble Alpes)\n\nThe Korteweg-d
e Vries (KdV) equation\, was introduced as a model to describe the propaga
tion of long water waves in a channel. This nonlinear third order dispersi
ve equation has been many studied in the past years from different points
of view\, in particular its controllability and stabilization properties.
In this talk\, we focus on the stabilization and controllability of the Kd
V equation on a star shaped network. In the first part\, we study the cont
rollability problem of star network of N KdV equations. By using Carleman
estimates\, we show that the system is null controllable acting in N-1 edg
es. Then\, we pass to the KdV equation posed in a star network with bounde
d and unbounded lengths. Here\, we show the exponential stability by actin
g with damping terms\, not necessarily in all the branches. This talk is b
ased on joint works with E. CrÃ©peau\, C. Prieur.\n\nhttps://indico.math.c
nrs.fr/event/8857/
URL:https://indico.math.cnrs.fr/event/8857/
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