Modulated wave trains in generalized Kuramoto-Sivashinksi equations

Details Modulated wave trains in generalized Kuramoto-Sivashinksi equations Modulated wave trains in generalized Kuramoto-Sivashinksi equations

2010-12-08

arxiv.org/abs/1012.1733v1

Mathematics

Analysis of PDEs

Scientific paper

This paper is concerned with the stability of periodic wave trains in a generalized Kuramoto-Sivashinski (gKS) equation. This equation is useful to describe the weak instability of low frequency perturbations for thin film flows down an inclined ramp. We provide a set of equations, namely Whitham's modulation equations, that determines the behaviour of low frequency perturbations of periodic wave trains. As a byproduct, we relate the spectral stability in the small wavenumber regime to properties of the modulation equations. This stability is always critical since 0 is a 0-Floquet number eigenvalue associated to translational invariance.

Affiliated with

Also associated with

No associations

Rating

Modulated wave trains in generalized Kuramoto-Sivashinksi equations 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 Modulated wave trains in generalized Kuramoto-Sivashinksi equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Modulated wave trains in generalized Kuramoto-Sivashinksi equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-558465