题目：Front Propagation in a Transport Model with a Nonlocal Nonlinear Condition at the Boundary

报告人：Prof. Jean-Michel Roquejoffre（Toulouse III - Paul Sabatier University）

地点：致远楼108室

时间：2026年5月6日 10：00-11：00

Abstract：The model under study is a linear transport equation in the upper half plane, together with a nonlinear and nonlocal Dirichlet condition that couples the values of the unknown function at the boundary to those inside. Its primary motivation is the study of the nonlocal Kermack-McKendrick model for the spread of epidemics, and it has received a great deal of attention in the 1980's. It can be reduced to a nonlinear integral equation, from which one can infer the development of inasion fronts, whose asymptotic propagation speed can be computed.The goal of the talk is to present a fresh look at this model and to understand its sharp asymptotics, something that had not previously been done. While the relevance of such an undertaking may be questionned from the epidemiological point of view, its structure presents specificities that make it worth studying. In particular, it is reminiscent of that of the "Road-field model" introduced by Berestycki, Rossi and the author, an analogy that will be discussed.Joint work with G. Faye and M. Zhang.

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