54 citations · 317 across the 63 of their papers we have counts for
7 papers · 1 filter
Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. III. Parabolic equations and delay systems
Janusz Mierczyński, Wenxian Shen
This is the third part in a series of papers concerned with principal Lyapunov exponents and principal Floquet subspaces of positive random dynamical systems in ordered Banach spac…
Transition fronts in nonlocal equations with time heterogeneous ignition nonlinearity
Wenxian Shen, Zhongwei Shen
The present paper is devoted to the study of transition fronts in nonlocal reaction-diffusion equations with time heterogeneous nonlinearity of ignition type. It is proven that suc…
Spreading Speeds and Linear Determinacy for Two Species Competition Systems with Nonlocal Dispersal in Periodic Habitats
Liang Kong, Nar Rawal, Wenxian Shen
The current paper is concerned with the existence of spreading speeds and linear determinacy for two species competition systems with nonlocal dispersal in time and space periodic…
Stability, Uniqueness and Recurrence of Generalized Traveling Waves in Time Heterogeneous Media of Ignition Type
Wenxian Shen, Zhongwei Shen
The present paper is devoted to the study of stability, uniqueness and recurrence of generalized traveling waves of reaction-diffusion equations in time heterogeneous media of igni…
Transition Fronts in Time Heterogeneous and Random Media of Ignition Type
Wenxian Shen, Zhongwei Shen
The current paper is devoted to the investigation of wave propagation phenomenon in reaction-diffusion equations with ignition type nonlinearity in time heterogeneous and random me…
One-dimensional random attractor and rotation number of the stochastic damped sine-Gordon equation
Zhongwei Shen, Shengfan Zhou, Wenxian Shen
This paper is devoted to the study of the asymptotic dynamics of the stochastic damped sine-Gordon equation with homogeneous Neumann boundary condition. It is shown that for any po…