Robustness of exponential attractors for damped Korteweg-de Vries equations

Chen, Mo

doi:10.1090/proc/14037

Robustness of exponential attractors for damped Korteweg-de Vries equations
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by Mo Chen

Proc. Amer. Math. Soc. 146 (2018), 3439-3447

DOI: https://doi.org/10.1090/proc/14037

Published electronically: April 18, 2018

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Abstract:

In this paper, we study the long-time behaviour of the solutions of the Korteweg-de Vries equations with localized dampings in a bounded domain. It is shown that, under appropriate assumptions on the dampings, these equations possess robust families of exponential attractors in the corresponding phase space.

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