BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Sabre//Sabre VObject 4.6.1//EN CALSCALE:GREGORIAN BEGIN:VTIMEZONE TZID:Europe/Zurich X-LIC-LOCATION:Europe/Zurich TZURL:http://tzurl.org/zoneinfo/Europe/Zurich BEGIN:DAYLIGHT TZOFFSETFROM:+0100 TZOFFSETTO:+0200 TZNAME:CEST DTSTART:19810329T020000 RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:+0200 TZOFFSETTO:+0100 TZNAME:CET DTSTART:19961027T030000 RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU END:STANDARD END:VTIMEZONE BEGIN:VEVENT UID:news2064@dmi.unibas.ch DTSTAMP;TZID=Europe/Zurich:20260826T090654 DTSTART;TZID=Europe/Zurich:20260917T103000 SUMMARY:Doktoratskolloquium Mathematik: Jingeon An DESCRIPTION:Interfaces separating two phases are thin rather than perfectly sharp. Allen–Cahn-type equations model interfaces as narrow transition layers\, while minimal surfaces and mean curvature flow arise as their sha rp-interface limits. This thesis develops a regularity theory for diffuse interfaces without relying on variational assumptions associated with the energy. Exact equations connecting the discrepancy with the curvature of l evel surfaces yield epsilon-regularity and diffuse Schauder estimates in b oth elliptic and parabolic settings\, including both the classical and fre e-boundary variants.\\r\\n\\r\\nThe talk is open to members of the univers ity. X-ALT-DESC:

Interfaces separating two phases are thin rather than perfect ly sharp. Allen–Cahn-type equations model interfaces as narrow transitio n layers\, while minimal surfaces and mean curvature flow arise as their s harp-interface limits. This thesis develops a regularity theory for diffus e interfaces without relying on variational assumptions associated with th e energy. Exact equations connecting the discrepancy with the curvature of level surfaces yield epsilon-regularity and diffuse Schauder estimates in both elliptic and parabolic settings\, including both the classical and f ree-boundary variants.

\n\n

The talk is open to members of the univer sity.

END:VEVENT END:VCALENDAR