3 papers
math.AP2026
Sharp Thresholds for the Porous Medium Equation with a Combustion Reaction in Higher Dimensions
Maolin Zhou
We study the porous medium equation with a combustion-type reaction, \[ u_t=Îu^m+f(u),\qquad x\in\mathbb R^N,\ t>0, \] for radial, nonnegative, compactly supported initial data. A…
math.AP2025
Linear vs. nonlinear speed selection of the front propagation into unstable states
Chang-Hong Wu, Dongyuan Xiao, Maolin Zhou
In this paper, we mainly consider the speed selection problem for the classical Lotka-Volterra competition system. For the first time, we propose a sufficient and necessary conditi…
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…