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math.DS2020
Non-wandering points for autonomous/periodic parabolic equations on the circle
Wenxian Shen, Yi Wang, Dun Zhou
We study the properties of non-wandering points of the following scalar reaction-diffusion equation on the circle , \begin{equation*} u_{t}=u_{xx}+f(t,u,u_{x}),\,\,t>0,\,x\in…
math.DS2020
Almost automorphically forced flows on or in one-dimensional almost periodic semilinear heat equations
Wenxian Shen, Yi Wang, Dun Zhou
In this paper, we consider the asymptotic dynamics of the skew-product semiflow generated by the following time almost-periodically forced scalar reaction-diffusion equation \begin…