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March 2024

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Séminaire des Doctorants et Doctorantes - Institut Camille Jordan - ICJ - Villeurbanne - Sud-Est - Unité de mathématiques pures et appliquées - UMPA/ENSL - Lyon - Sud-Est

Institut Camille Jordan - ICJ - Villeurbanne - Sud-Est Unité de mathématiques pures et appliquées - UMPA/ENSL - Lyon - Sud-Est

Concentration phenomena in adaptive dynamics: an AP scheme for constrained Hamilton-Jacobi equation


Start: May 31, 2021, 10:30 a.m.
End: May 31, 2021, 11:30 a.m.

Speaker: Yoldas, Havva ()
Title: Concentration phenomena in adaptive dynamics: an AP scheme for constrained Hamilton-Jacobi equation
Abstract: <p>In this talk, I will present a selection-mutation model which was introduced in a paper by Barles and Perthame (Indiana Univ. Math. J., 2008) and further studied in many other works. The model is a non-local parabolic PDE describing the adaptive dynamics of a population structured with a phenotypical trait. The mutations and the competition for resources lead the population to concentrate around the fittest traits over time. I will discuss how this behaviour is proved analytically, based on the previous literature, and introduce an asymptotic preserving (AP) numerical scheme which complements the analytical results. This is a joint work with Vincent Calvez and Hélène Hivert.</p>
Loc. Webinar
Cat. Séminaires

ref: Séminaire des Doctorants et Doctorantes - Institut Camille Jordan - ICJ - Villeurbanne - Sud-Est - Unité de mathématiques pures et appliquées - UMPA/ENSL - Lyon - Sud-Est