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DTSTART;TZID=Europe/Paris:20260219T140000
DTEND;TZID=Europe/Paris:20260219T150000
DTSTAMP:20260408T080013
CREATED:20260113T121903Z
LAST-MODIFIED:20260220T084319Z
UID:14703-1771509600-1771513200@lmv.math.cnrs.fr
SUMMARY:EDP : Cécile Taing (université de Poitiers) : On the Fisher infinitesimal model without variability
DESCRIPTION:We study the long-time behavior of solutions to a model of sexual populations structured\nin phenotypes. The model features a nonlinear integral reproduction operator derived from\nthe Fisher infinitesimal operator and a linear trait-dependent selection term. The reproduction\noperator describes here the inheritance of the mean parental traits to the offspring without\nvariability.\nFirst\, we show that\, under assumptions on the growth of the selection rate\, Dirac masses are\nstable around phenotypes for which the difference between the selection rate and its minimum\nvalue is less than 1/2. Then\, we prove the convergence in some Fourier-based distance of\nthe centered and rescaled solution to a stationary profile under some conditions on the initial\nmoments of the solution. The use of the Fourier-distance for probability measures has been\ninspired from the work of Lorenzo Pareschi and Giuseppe Toscani in 2006 for kinetic models of\nBoltzmann-Maxwell type.\nThis work has been done in collaboration with Amic Frouvelle (Université Paris Dauphine).
URL:https://lmv.math.cnrs.fr/evenenement/edp-cecile-taing-universite-de-poitiers/
LOCATION:Bâtiment Fermat\, salle 4205
CATEGORIES:Séminaire EDP
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DTSTART;TZID=Europe/Paris:20260219T153000
DTEND;TZID=Europe/Paris:20260219T163000
DTSTAMP:20260408T080013
CREATED:20260113T121346Z
LAST-MODIFIED:20260220T084327Z
UID:14700-1771515000-1771518600@lmv.math.cnrs.fr
SUMMARY:EDP : Maxime Zavidovique (IMJ\, Sorbonne université) : équations d’Hamilton-Jacobi amorties
DESCRIPTION:On s’intéresse à des équations du type\n\( \lambda a(x) u(x) + H(x\, D_x u) = \text{constante} \)\noù l’inconnue est définie sur un tore \( T^d \) et l’hamiltonien \( H \) est défini sur \( T^d \times \mathbb{R}^d \) et satisfait des hypothèses de convexité et de coercivité. Les graphes des 1-jets des solutions vérifient des propriétés d’invariance par un flot de contact associé.\nOn expliquera aussi comment le signe de la fonction \( a \) affecte drastiquement l’unicité ou non des solutions et le comportement asymptotique des solutions quand \( \lambda \to 0_+ \).
URL:https://lmv.math.cnrs.fr/evenenement/edp-maxime-zavidovique-imj-sorbonne-universite/
LOCATION:Bâtiment Fermat\, salle 4205
CATEGORIES:Séminaire EDP
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