2 citations · 2 across the 5 of their papers we have counts for
5 papers
Existence of traveling waves for vector valued gradient flows
Xinfu Chen, Zhilei Liang
Allen-Cahn equation is a fundamental continuum model that describes phase transitions in multi-component mixtures. We prove the existence of traveling waves for vector valued Allen…
Optimal Contract Design with Quadratic Effort Cost
Xinfu Chen, Shuaijie Qian, Guan Qiao
The existence of an optimal contract of the principal-agent problem is a central issue in contract design. According to Cvitanić et al. [2], such an optimal contract can be derived…
Dimension-Dependent Asymptotic Dynamics for Mean Curvature Flow with Robin Boundary Conditions
Xinfu Chen, Bendong Lou, Xiaoliu Wang +1
We consider a graphical mean curvature flow in a cylinder with Robin boundary conditions, which arises as a geometric model for interface motion in the singular limit of the Allen-…
Nonlocal to Local Convergence of Stefan Problems Under Optimal Convergence Condition
Xinfu Chen, Fang Li, Maolin Zhou
In this paper, we consider a free boundary problem with a nonlocal diffusion kernel function . Due to the long distance exchange effect of nonlocal diffusion, the free bounda…
Phase transitions and bump solutions of the Keller-Segel model with volume exclusion
Jose A. Carrillo, Xinfu Chen, Qi Wang +2
We show that the Keller-Segel model in one dimension with Neumann boundary conditions and quadratic cellular diffusion has an intricate phase transition diagram depending on the ch…