Speaker : Yue LIU (Univ. of Texas, Arlington)
Title : Stability of Peakons
Time : 2014-05-14 (Wed) 16:00 - 17:00
Place : Seminar Room 617, Institute of Mathematics (NTU Campus)
Abstract: I will discuss the dynamical stability of the single peaked soliton, periodic peaked soliton and multi-peakon solutions for an integrable modified Camassa-Holm equation with cubic nonlinearity. I will first demonstrate that the equation admits a single peaked soliton, multi-peakon solutions, and a periodic peaked soliton. By constructing certain Lyapunov functionals, I will then show that the shapes of these peaked waves are stable under small perturbations in the energy space.