6 papers · 1 filter
Propagation phenomena of spatially periodic combustion reaction-diffusion equations around an obstacle
Yang Long, Jia-Fang Zhang, Wei-Jie Sheng
This paper is concerned with propagation phenomena of spatially periodic combustion reaction-diffusion equations in exterior domains. It is known that there is a pulsating front co…
V-shaped transition fronts of monotone bistable reaction-diffusion systems in exterior domains
Yang-Yang Yan, Wei-Jie Sheng
This paper investigates the propagation phenomena of a monotone bistable reaction-diffusion system in an exterior domain of R2. By constructing suitable sub- and supersolutions, we…
Transition fronts of monotone bistable reaction-diffusion systems around an obstacle
Yang-Yang Yan, Wei-Jie Sheng
This paper is concerned with the interaction between a planar traveling front and a compact obstacle for monotone bistable reaction-diffusion systems in exterior domains. By constr…
Curved fronts of combustion reaction-diffusion equations
Wei-Jie Sheng, Xin-Tian Zhang
This paper is concerned with curved fronts of combustion reaction-diffusion equations in . By mixing finite planar fronts and constructing suitable super-…
Transition fronts of combustion reaction-diffusion equations in domains with multiple cylindrical branches
Yang-Yang Yan, Wei-Jie Sheng, Zhi-Cheng Wang
This paper is concerned with propagation dynamics for combustion reaction-diffusion equations in domains with multiple cylindrical branches. We first establish the existence and un…
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…