BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Département de mathématiques et applications - ECPv6.2.2//NONSGML v1.0//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:Département de mathématiques et applications
X-ORIGINAL-URL:https://www.math.ens.psl.eu
X-WR-CALDESC:évènements pour Département de mathématiques et applications
REFRESH-INTERVAL;VALUE=DURATION:PT1H
X-Robots-Tag:noindex
X-PUBLISHED-TTL:PT1H
BEGIN:VTIMEZONE
TZID:Europe/Paris
BEGIN:DAYLIGHT
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
DTSTART:20250330T010000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
TZNAME:CET
DTSTART:20251026T010000
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20250203T093000
DTEND;TZID=Europe/Paris:20250203T123000
DTSTAMP:20260425T233058
CREATED:20240905T180944Z
LAST-MODIFIED:20250123T082849Z
UID:17684-1738575000-1738585800@www.math.ens.psl.eu
SUMMARY:Nonlocal Aggregation-Diffusion Equations: fast diffusion and partial concentration
DESCRIPTION:ATTENTION : exceptionnellement un LUNDI \n\n\n\nSpeaker: José A. Carrillo \n\n\n\nTitle: Nonlocal Aggregation-Diffusion Equations: fast diffusion and partial concentration \n\n\n\nAbstract: \n\n\n\nIn the first part I will give an overview of nonlocal aggregation-diffusion equations and the state of the art on results for homogeneous kernels and nonlinear diffusions in the degenerate case. I will explain part of the qualitative behavior of the solutions\, numerical explorations and ideas on the proofs of some results. I will also discuss the applications they have in mathematical biology and their connections. \n\n\n\nThe seminar part will be devoted to discuss the less explored case of fast diffusion with homogeneous kernels with positive powers. We will first concentrate in the case of stationary solutions by looking at minimisers of the associated free energy showing that the minimiser must consist of a regular smooth solution with singularity at the origin plus possibly a partial concentration of the mass at the origin. We will give necessary conditions for this partial mass concentration to and not to happen. We will then look at the related evolution problem and show that for a given confinement potential this concentration happens in infinite time under certain conditions. We will briefly discuss the latest developments when we introduce the aggregation term. This part of the talk is based on a series of works in collaboration with M. Delgadino\, J. Dolbeault\, A. Fernandez\, R. Frank\, D. Gomez-Castro\, F. Hoffmann\, M. Lewin\, and J. L\, Vazquez.
URL:https://www.math.ens.psl.eu/evenement/jose-a-carrillo/
LOCATION:ENS – salle W\, 45 rue d'Ulm\, Paris\, 75005\, France
CATEGORIES:Séminaire Analyse non linéaire et EDP
END:VEVENT
END:VCALENDAR