5 citations · 7 across the 4 of their papers we have counts for
4 papers
On the (in)validity of the NLS-KdV system in the study of water waves
Chuangye Liu, Nghiem V. Nguyen
It is universally accepted that the cubic, nonlinear Schrodinger equation (NLS) models the dynamics of narrow-bandwidth wave packets consisting of short dispersive waves, while th…
Blowup alternative for Gross-Pitaevskii hierarchies
Zeqian Chen, Chengjun He, Chuangye Liu
In this paper, we prove the blowup alternative for Gross-Pitaevskii hierarchies on and give the associated lower bounds on the blowup rate. In particular, we prove t…
On the Cauchy problem for Gross-Pitaevskii hierarchies
Zeqian Chen, Chuangye Liu
The purpose of this paper is to investigate the Cauchy problem for the Gross-Pitaevskii infinite linear hierarchy of equations on We prove local existen…
A Mean-field Calculation for the Three-Dimensional Holstein Model
Chuan Liu, Qiang Luo
A path integral representation appropriate for further Monte Carlo simulations is derived for the electron-phonon Holstein model in three spatial dimensions. The model is studied w…