5 papers
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…
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-…