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DTSTAMP:20260416T222619Z
UID:67efc0470e10c088313607@ist.ac.at
DTSTART:20250408T171500
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DESCRIPTION:Speaker: Peter Morfe\nhosted by Christian Wagner\nAbstract: I w
 ill discuss the effective (or macroscopic) behavior of diffuse interface e
 nergies with microscopic heterogeneities. Diffuse interface energies\, whi
 ch describe phase interfaces at a mesoscopic scale\, go back to the work o
 f van der Waals (1896) and Cahn-Hilliard (1958). In the 1970s\, Modica and
  Mortola gave the first mathematically rigorous arguments relating the dif
 fuse interface approach to more classical\, macroscopic-scale interfacial 
 theories based on surface tension. Over the past twenty years\, in the set
 ting of heterogeneous media\, there has been interest in the interplay bet
 ween energy minimization and averaging in this problem. I will discuss my 
 recent work with Christian Wagner\, where we give a fairly comprehensive a
 ccount of the setting where the length scale of the heterogeneities is muc
 h smaller (microscopic) than the diffusive interface width. The moral of t
 he story is\, indeed\, homogenization effects dominate when the microscopi
 c and mesoscopic scales are well-separated\, but\, in general\, rare event
 s (e.g.\, large deviations) play a role.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Peter Morfe: Effective behavior of diffuse interface energies with 
 microscopic heterogeneities
URL:https://talks-calendar.ista.ac.at/events/5687
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