644 citations · 3.3k across the 86 of their papers we have counts for
87 papers
Optimal convergence rates of the Klein-Gordon-Schrödinger system in the nonrelativistic limit
Weizhu Bao, Yong Lu, Zhiwei Zheng
In this paper, we study the Klein-Gordon-Schrödinger system in the nonrelativistic regime , where is proportional to the inverse of the speed of light. We show that the…
Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
Weizhu Bao, Ying Ma, Chushan Wang
We establish optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and typical power-type nonlinearity ,…
Phase-field simulations for dripping-to-jetting transitions: Effects of low interfacial tension and bulk diffusion
Fukeng Huang, Weizhu Bao, Tiezheng Qian
The dripping-to-jetting transitions in coaxial flows have been experimentally well studied for systems of high interfacial tension, where the capillary number of the outer fluid an…
Quantized vortex dynamics of the nonlinear Schrödinger equation on torus with non-vanishing momentum
Yongxing Zhu, Weizhu Bao, Huaiyu Jian
We derive rigorously the reduced dynamical laws for quantized vortex dynamics of the nonlinear Schrödinger equation on the torus with non-vanishing momentum when the vortex core si…
Convergence rates in the nonrelativistic limit of the cubic Klein-Gordon equation
Weizhu Bao, Yong Lu, Zhifei Zhang
In this paper, we study the nonrelativistic limit of the cubic nonlinear Klein-Gordon equation in with a small parameter , which is inversely…
Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
Weizhu Bao, Chushan Wang
We establish optimal error bounds for the exponential wave integrator (EWI) applied to the nonlinear Schrödinger equation (NLSE) with -potential and/or locally Lipschit…