Stabilization of the Kawahara equation  with localized damping

Carlos F. Vasconcellos; Patricia N. da Silva

Skip to main content (access key 's'), Skip to navigation (access key 'n'), Accessibility information (access key '0')

The search session has expired. Please query the service again.

Displaying similar documents to “Stabilization of the Kawahara equation with localized damping”

Stabilization of the Kawahara equation with localized damping

Carlos F. Vasconcellos, Patricia N. da Silva (2011)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We study the stabilization of global solutions of the Kawahara (K) equation in a bounded interval, under the effect of a localized damping mechanism. The Kawahara equation is a model for small amplitude long waves. Using multiplier techniques and compactness arguments we prove the exponential decay of the solutions of the (K) model. The proof requires of a unique continuation theorem and the smoothing effect of the (K) equation on the real line, which are proved in this work. ...