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TZID:Europe/Vienna
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DTSTART:20190331T030000
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TZOFFSETTO:+0200
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DTSTART:20191027T020000
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BEGIN:VEVENT
DTSTAMP:20260404T064759Z
UID:5b4d8fb087040425097041@ist.ac.at
DTSTART:20190704T160000
DTEND:20190704T180000
DESCRIPTION:Speaker: Helmut Abels\nhosted by Julian Fischer\nAbstract: We c
 onsider the sharp interface limit of the Allen-Cahn equation\, when a para
 meter epsilon > 0 that is proportional to the thickness of the di use inte
 rface tends to zero\, in a two dimensional bounded domain with Neumann bou
 ndary conditions. We prove convergence of the solutions of the Allen-Cahn 
 equation to solutions of the sharp interface limit\, which is the mean cur
 vature  ow with a 90 degree contact angle\, provided the limit problem pos
 sesses a smooth solution on a certain time interval. To this end we constr
 uct a suitable approximation of the Allen-Cahn equation\, using three leve
 ls of the terms in the formally matched asymptotic calculations\, and esti
 mate the dierence with the aid of a suitable spectral estimates of the lin
 earized Allen-Cahn operator. Moreover\, we will discuss recent extensions 
 of this results e.g. to the Navier-Stokes/Allen-Cahn system or the Stokes/
 Cahn-Hilliard system. This is a joint-work with Maximilian Moser.
LOCATION:Heinzel Seminar Room / Office Bldg West (I21.EG.101)\, ISTA
ORGANIZER:swiddman@ist.ac.at
SUMMARY:Helmut Abels: Sharp Interface Limit for the Allen-Cahn Equation wit
 h a Contact Angle
URL:https://talks-calendar.ista.ac.at/events/1887
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