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: email@example.com
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.