104 citations · 392 across the 34 of their papers we have counts for
4 papers · 1 filter
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,…
Unstable and Stable Galaxy Models
Yan Guo, Zhiwu Lin
To determine the stability and instability of a given steady galaxy configuration is one of the fundamental problems in the Vlasov theory for galaxy dynamics. In this article, we s…
A sharp stability criterion for the Vlasov-Maxwell system
Zhiwu Lin, Walter Strauss
We consider the linear stability problem for a 3D cylindrically symmetric equilibrium of the relativistic Vlasov-Maxwell system that describes a collisionless plasma. For an equili…