4 citations · 4 across the 4 of their papers we have counts for
4 papers
Instability of large solitary water waves
Zhiwu Lin
We consider the linearized instability of 2D irrotational solitary water waves. The maxima of energy and the travel speed of solitary waves are not obtained at the highest wave, wh…
Instability of nonlinear dispersive solitary waves
Zhiwu Lin
We consider linear instability of solitary waves of several classes of dispersive long wave models. They include generalizations of KDV, BBM, regularized Boussinesq equations, with…
Stability of peakons for the Degasperis-Procesi equation
Zhiwu Lin, Yue Liu
The Degasperis-Procesi equation can be derived as a member of a one-parameter family of asymptotic shallow water approximations to the Euler equations with the same asymptotic accu…
Unstable surface waves in running water
Vera Mikyoung Hur, Zhiwu Lin
We consider the stability of periodic gravity free-surface water waves traveling downstream at a constant speed over a shear flow of finite depth. In case the free surface is flat,…