BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Département de mathématiques et applications - ECPv6.2.2//NONSGML v1.0//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
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:20210328T010000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
TZNAME:CET
DTSTART:20211031T010000
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20211012T093000
DTEND;TZID=Europe/Paris:20211012T123000
DTSTAMP:20260407T103823
CREATED:20211012T073000Z
LAST-MODIFIED:20211108T210837Z
UID:8581-1634031000-1634041800@www.math.ens.psl.eu
SUMMARY:The Rayleigh-Bénard convection problem
DESCRIPTION:Rayleigh-Bénard convection is the buoyancy-driven flow of a fluid heated from below and cooled from above and is a paradigm for nonlinear dynamics with important applications to meteorology\, oceanography and engineering. We are interested in obtaining quantitative bounds on the Nusselt number\, the vertical heat transport enhancement factor. The Nusselt number\, besides being an interesting quantity for engineering applications\, it is the natural quantity to measure the intensity and effectiveness of the motion. For this reason\, we are interested in proving (upper) bounds which catch the relation between the Nusselt number and the (nondimensional control parameter) Rayleigh number\, in turbulent regimes. Despite great scientific developments in this field in the last 30 years\, it is still not clear what role the boundary conditions play in the scaling laws for the Nusselt number. In this talk we address this problem\, establishing rigorous bounds for the Rayleigh-Bénard convection problem with Navier-slip boundary conditions for the velocity. We employ the background field method and deal with a careful PDE analysis\, given the production of vorticity at the walls. In conclusion\, we relate this result to other bounds derived for no-slip and stress-free boundary conditions and discuss open problems. This seminar is based on a joint work with T. Drivas and H. Nguyen.
URL:https://www.math.ens.psl.eu/evenement/the-effect-of-boundary-conditions-for-the-velocity-on-scaling-laws-in-the-rayleigh-benard-convection-problem/
LOCATION:Jussieu (salle 15-16-309)
CATEGORIES:Séminaire Analyse non linéaire et EDP
END:VEVENT
END:VCALENDAR