42 citations · 131 across the 35 of their papers we have counts for
37 papers
Sharp Thresholds for Linear Determinacy and Zero Wave Speed in Lotka-Volterra Competition-Diffusion Systems
Shizhao Ma, Dongyuan Xiao, Maolin Zhou
We study two sharp competition thresholds in the Lotka-Volterra competition-diffusion system: the zero-speed threshold for bistable traveling fronts and the linear-determinacy thre…
Asymmetric Periodic Water Waves in Finite Depth
Yuchen Wang, Shusen Yan, Maolin Zhou
We consider the full two-dimensional water-wave equations in finite depth, with and without surface tension. Water waves have been studied mathematically for more than two centurie…
Propagation Direction of Bistable Traveling Fronts in the Lotka--Volterra Competition--Diffusion System
Shizhao Ma, Dongyuan Xiao, Maolin Zhou
We study the propagation direction of bistable traveling fronts in the two-species Lotka--Volterra competition--diffusion system under strong competition. A complete characterizati…
Sharp logarithmic corrections for a strong-weak Lotka-Volterra competition system
Hongjun Guo, Dongyuan Xiao, Maolin Zhou
We study the one-dimensional strong-weak Lotka-Volterra competition-diffusion system \[ u_t=u_{xx}+u(1-u-av),\qquad v_t=dv_{xx}+rv(1-v-bu), \] with compactly supported initial data…
Sharp Thresholds for the Porous Medium Equation with a Combustion Reaction in Higher Dimensions
Maolin Zhou
We study the porous medium equation with a combustion-type reaction, \[ u_t=Δu^m+f(u),\qquad x\in\mathbb R^N,\ t>0, \] for radial, nonnegative, compactly supported initial data. A…
The principal eigenvalue of an age-structured operator with diffusion and advection: qualitative analysis and an application
Hao Kang, Rui Peng, Maolin Zhou
In this paper, we investigate an eigenvalue problem associated with an age-structured operator incorporating random diffusion and advection. Our primary focus is on examining the a…