Volume 25, 2019
|Number of page(s)||28|
|Published online||13 September 2019|
Control and stabilization of the periodic fifth order Korteweg-de Vries equation
California State University, Channel Islands, Bell Tower East 2762, One University Drive,
2 Bâtiment des Mathématiques, EPFL, Station 8, CH-1015 Lausanne, Switzerland.
* Corresponding author: firstname.lastname@example.org
Accepted: 16 May 2018
We establish local exact control and local exponential stability of periodic solutions of fifth order Korteweg-de Vries type equations in Hs(𝕋), s > 2. A dissipative term is incorporated into the control which, along with a propagation of regularity property, yields a smoothing effect permitting the application of the contraction principle.
Mathematics Subject Classification: 35Q53 / 93B05 / 93D15
Key words: Korteweg-de Vries equation / periodic domain / propagation of regularity / exact controllability / stabilization
© EDP Sciences, SMAI 2019
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