Seminar on PDE
主講者: Prof. Yue LIU (Univ. of Texas, Arlington)
講題: Stability of Peakons
時間: 2014-05-14 (Wed.)  16:00 - 17:00
地點: 數學所 617 研討室 (台大院區)
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.
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