1 citations · 1 across the 13 of their papers we have counts for
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Classical solutions of a mean field system for pulse-coupled oscillators: long time asymptotics versus blowup
José Antonio Carrillo, Xu'an Dou, Pierre Roux +1
We introduce a novel reformulation of the mean-field system for pulse-coupled oscillators. It is based on writing a closed equation for the inverse distribution function associated…
Asymptotic analysis for Bloch electrons with Weyl nodes
Jianfeng Lu, Changhe Yang, Zhennan Zhou
In this paper, we study the semiclassical behavior of Bloch electrons in the presence of Weyl nodes, which are singular points in the band structure of certain materials. We carry…
Tumor growth with a necrotic core as an obstacle problem in pressure
Xu'an Dou, Chengfeng Shen, Zhennan Zhou
Motivated by the incompressible limit of a cell density model, we propose a free boundary tumor growth model where the pressure satisfies an obstacle problem on an evolving domain…
An infinite-times renewal equation
Xu'An Dou, Benoît Perthame, Chenjiayue Qi +2
In neuroscience, the time elapsed since the last discharge has been used to predict the probability of the next discharge. Such predictions can be improved taking into account the…
Transition behavior of the waiting time distribution in a jumping model with the internal state
Zhe Xue, Yuan Zhang, Zhennan Zhou +1
It has been noticed that when the waiting time distribution exhibits a transition from an intermediate time power law decay to a long-time exponential decay in the continuous time…