Internal stabilization for KdV-BBM equation on a periodic domain

Melek Jellouli,Moez Khenissi

MATHEMATICAL RESEARCH LETTERS(2022)

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Abstract
We consider the nonlinear damped KdV-BBM equation on the torus. We shows the global existence of the solution, as well as its convergence in time towards an analytical function. This analytic-ity property allows the application of unique continuation results to show that the limit function is a constant.
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Key words
internal stabilization,kdv-bbm
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