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math.AP2025
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…
math.AP2025
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…