AI 中文总结
本文针对半平面带Fisher-KPP型非局部边界条件的输运模型，证明初始局化解滞后于最小行波且滞后量随时间对数增长，该模型源于流行病空间传播的Kermack-McKendrick类模型。
AI 中文摘要
本文研究半平面内耦合非线性非局部边界条件的输运问题随时间趋于无穷时的精确渐近行为。该系统源于一类流行病空间传播模型，其与空间无关的版本是经典Kermack-McKendrick模型。利用Fisher-KPP型非局部方程的研究思路并结合模型的特殊结构，我们证明任何初始局化解将滞后于最小行波，且滞后量随时间对数增长。
英文摘要
This paper is concerned with the precise asymptotics, as time goes to infinity, of a transport problem in a half plane coupled with a nonlinear nonlocal boundary condition. This system arises from a class of models for the spatial spread of epdemics, its space independent version being the classical Kermack-McKendrick model. Using ideas pertaining to the study of nonlocal equations of the Fisher-KPP type, and exploiting the particular structure of the model, we prove that any initially localized solution will lag behind the minimal traveling wave, with a delay that grows logarithmically in time.
