Local exact controllability to the trajectories of the 1-D Kuramoto-Sivashinsky equation

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:250

Article

Cerpa, Eduardo¹  Mercado, Alberto¹ 

[1] Univ Tecn Federico Santa Maria, Dept Matemat, Valparaiso, Chile

关键词: Kuramoto-Sivashinsky equation;    Null controllability;    Carleman estimates;   

DOI  :  10.1016/j.jde.2010.12.015

来源: Elsevier

【 摘 要 】

We are concerned with the boundary controllability to the trajectories of the Kuramoto-Sivashinsky equation. By using a Carleman estimate, we obtain the null controllability of the linearized equation around a given solution. From a local inversion theorem we get the local controllability to the trajectories of the nonlinear system. (c) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free