59 citations · 120 across the 16 of their papers we have counts for
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math.AP2020
Propagation dynamics of a reaction-diffusion equation in a time-periodic shifting environment
Jian Fang, Rui Peng, Xiao-Qiang Zhao
This paper concerns the nonautonomous reaction-diffusion equation \[ u_t=u_{xx}+ug(t,x-ct,u), \quad t>0,x\in\mathbb{R}, \] where is the shifting speed, and the tim…
math.AP2020★ 1 cited
Asymptotics of the principal eigenvalue for a linear time-periodic parabolic operator II: Small diffusion
Shuang Liu, Yuan Lou, Rui Peng +1
We investigate the effect of small diffusion on the principal eigenvalues of linear time-periodic parabolic operators with zero Neumann boundary conditions in one dimensional space…
math.AP2020★ 1 cited
Asymptotics of the principal eigenvalue for a linear time-periodic parabolic operator I: Large advection
Shuang Liu, Yuan Lou, Rui Peng +1
We investigate the effects of advection on the principal eigenvalues of linear time-periodic parabolic operators with zero Neumann boundary conditions. Various asymptotic behaviors…