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20132026
most citedMonotonicity of the principal eigenvalue for a linear time-periodic parabolic operator

42 citations · 131 across the 35 of their papers we have counts for

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Showing 2022Show all

5 papers · 1 filter

math.AP2022

Degenerate bifurcations of two-fold doubly-connected uniformly rotating vortex patches

Yuchen Wang, Xin Xu, Maolin Zhou

In this paper, we obtain families of two-fold doubly-connected uniformly rotating vortex patches of the 2-D incompressible Euler equations emanating from some specific annuli. The…

math.AP2022★ 1 cited

Convergence of Solutions of the Porous Medium Equation with Reactions

Bendong Lou, Maolin Zhou

Consider the Cauchy problem of one dimensional porous medium equation (PME) with reactions. We first prove a general convergence result, that is, any bounded global solution starti…

math.AP2022

Optimisation of total population in logistic model with nonlocal dispersals and heterogeneous environments

Xueli Bai, Fang Li, Maolin Zhou

In this paper, we investigate the issue of maximizing the total equilibrium population with respect to resources distribution m(x) and diffusion rates d under the prescribed total…

math.AP2022

Linear vs. nonlinear speed selection of the front propagation into unstable states

Chang-Hong Wu, Dongyuan Xiao, Maolin Zhou

In this paper, we mainly consider the speed selection problem for the classical Lotka-Volterra competition system. For the first time, we propose a sufficient and necessary conditi…

math.AP2022

Sharp estimates for the spreading speeds of the Lotka-Volterra competition-diffusion system: the strong-weak type

Chang-Hong Wu, Dongyuan Xiao, Maolin Zhou

We consider the classical two-species Lotka-Volterra competition-diffusion system in the strong-weak competition case. When the corresponding minimal speed of the traveling waves i…