10 citations · 10 across the 8 of their papers we have counts for
10 papers
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…
Propagation Dynamics for Multidimensional Nonlocal Diffusion Equations: A General Freidlin-Gärtner Formula
Hongjun Guo, Wan-Tong Li, Biao Liu
In this paper, we develop a unified geometric framework for the propagation dynamics of multidimensional nonlocal Fisher--KPP equations with asymmetric dispersal. In dimensions $N\…
Reaction-diffusion equations in periodic media: convergence to pulsating fronts
Hongjun Guo, François Hamel, Luca Rossi
This paper is concerned with reaction-diffusion-advection equations in spatially periodic media. Under an assumption of weak stability of the constant states 0 and 1, and of existe…
Curved fronts of bistable reaction-diffusion equations in spatially periodic media:
Hongjun Guo, Haijian Wang
This paper is concerned with curved fronts of bistable reaction-diffusion equations in spatially periodic media for dimensions . The curved fronts concerned are transition…
Some new bistable transition fronts with changing shape
Hongjun Guo, Kelei Wang
We construct entire solutions of bistable reaction-diffusion equations by mixing finite planar fronts, which form a finite-dimensional manifold. These entire solutions are generali…
Pushed fronts of monostable reaction-diffusion-advection equations
Hongjun Guo
In this paper, we prove some qualitative properties of pushed fronts for the periodic reaction-diffusion-equation with general monostable nonlinearities. Especially, we prove the e…
Curved fronts of bistable reaction-diffusion equations in spatially periodic media
Hongjun Guo, Wan-Tong Li, Rongsong Liu +1
In this paper, curved fronts are constructed for spatially periodic bistable reaction-diffusion equations under the a priori assumption that there exist pulsating fronts in every d…
Transition fronts in unbounded domains with multiple branches
Hongjun Guo
This paper is concerned with the existence and uniqueness of transition fronts of a general reaction-diffusion-advection equation in domains with multiple branches. In this paper,…
On the mean speed of bistable transition fronts in unbounded domains
Hongjun Guo, Francois Hamel, Wei-Jie Sheng
This paper is concerned with the existence and further properties of propagation speeds of transition fronts for bistable reaction-diffusion equations in exterior domains and in so…
Propagating speeds of bistable transition fronts in spatially periodic media
Hongjun Guo
This paper is concerned with the propagating speeds of transition fronts in for spatially periodic bistable reaction-diffusion equations. The notion of transition fronts gene…