Stability of Periodic Kuramoto-Sivashinsky Waves

Details Stability of Periodic Kuramoto-Sivashinsky Waves Stability of Periodic Kuramoto-Sivashinsky Waves

2010-12-21

arxiv.org/abs/1012.4775v1

Mathematics

Analysis of PDEs

7 pages

Scientific paper

In this note, we announce a general result resolving the long-standing question of nonlinear modulational stability, or stability with respect to localized perturbations, of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation, establishing that spectral modulational stability, defined in the standard way, implies nonlinear modulational stability with sharp rates of decay. The approach extends readily to other second- and higher-order parabolic equations, for example, the Cahn-Hilliard equation or more general thin film models.

Affiliated with

Also associated with

No associations

Rating

Stability of Periodic Kuramoto-Sivashinsky Waves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Stability of Periodic Kuramoto-Sivashinsky Waves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability of Periodic Kuramoto-Sivashinsky Waves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-96788