4 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 establish a unified geometric description for the propagation behavior of multidimensional nonlocal diffusion equations. By extending the classical Freidlin-Gärt…
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…