6 papers · 1 filter
Variational Principles and Rearrangement Inequalities for asymmetric Operators on Periodic Lattices
Xing Liang
In this paper, we establish variational formulas and a rearrangement inequality for principal eigenvalues of asymmetric second-order difference operators on periodic lattices. For…
On advective nonlocal operators: multiplicity of principal eigenpairs
Arnaud Ducrot, Quentin Griette, Xing Liang
We study the existence and multiplicity of principal eigenvalues and eigenfunctions for a periodically heterogeneous nonlocal dispersal model with advection. The operator we consid…
Spreading speeds for Fisher-KPP equations with slowly decaying initial data in an almost periodic setting
Xing Liang, Linfeng Xu, Tao Zhou
This paper investigates the long-times behavior of the Fisher-KPP equation with slowly decaying initial data in an almost periodic medium. We mainly focus on two classes of initial…
Generalized principal eigenvalues of elliptic operators and spreading speeds of Fisher-KPP equations in two-scale almost periodic media
Xing Liang, Linfeng Xu, Tao Zhou
This paper is concerned with the asymptotic behavior of the generalized principal eigenvalues of elliptic operators and spreading speeds of Fisher-KPP equations in two-scale almost…
Bistable pulsating fronts in slowly oscillating environments *
Weiwei Ding, François Hamel, Xing Liang
We consider reaction-diffusion fronts in spatially periodic bistable media with large periods. Whereas the homogenization regime associated with small periods had been well studied…
The influence of advection on the propagation phenomena of reaction-diffusion equations with KPP-bistable nonlinearity
Xing Liang, Lei Zhang, Mingmin Zhang
This paper is devoted to propagation phenomena for a reaction-diffusion-advection equation in a one-dimensional heterogeneous environment, where heterogeneity is reflected by the n…