Non-uniform continuity of periodic Holm-Staley b-family of equations

Details Non-uniform continuity of periodic Holm-Staley b-family of equations Non-uniform continuity of periodic Holm-Staley b-family of equations

2010-10-19

arxiv.org/abs/1010.3807v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

27 pages, 3 figures

Scientific paper

We consider a family of non-evolutionary partial differential equations known
as Holm - Staley b - family which includes the integrable Camassa-Holm and
Degasperis-Procesi equations. We show that the solution map is not uniformly
continuous. The proof relies on a construction of smooth periodic travelling
waves with small amplitude.

Affiliated with

Also associated with

No associations

Rating

Non-uniform continuity of periodic Holm-Staley b-family of 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 Non-uniform continuity of periodic Holm-Staley b-family of equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-uniform continuity of periodic Holm-Staley b-family of equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-268223