BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Irene Fonseca (Carnegie Mellon University) DTSTART:20210305T150000Z DTEND:20210305T160000Z DTSTAMP:20260423T024803Z UID:RJWAPDE/20 DESCRIPTION:Title: Phase Transitions in Heterogeneous Media: Equilibria and Geometric Flows< /a>\nby Irene Fonseca (Carnegie Mellon University) as part of Rio de Janei ro webinar on analysis and partial differential equations\n\n\nAbstract\nA variational model in the context of the gradient theory for fluid-fluid p hase transitions with small scale heterogeneities is studied. In the case where the scale of the small homogeneities is of the same order of the sca le governing the phase transition\, the interaction between homogenization and the phase transitions process leads to an anisotropic interfacial ene rgy.\n\nThe underlying gradient flow provides unconditional convergence re sults for an Allen-Cahn type bi-stable reaction diffusion equation in a pe riodic medium. The limiting dynamics are given by an analog for anisotropi c mean curvature flow\, of the formulation due to Ken Brakke. As an essent ial ingredient in the analysis\, an explicit expression for the effective surface tension\, which dictates the limiting anisotropic mean curvature\, is obtained.\n\nThis is joint work with Riccardo Cristoferi (Radboud Univ ersity\, The Netherlands)\, Adrian Hagerty\, Cristina Popovici\, Rustum Ch oksi (McGill)\, Jessica Lin (McGill)\, and Raghavendra Venkatraman (CMU).\ n LOCATION:https://researchseminars.org/talk/RJWAPDE/20/ END:VEVENT END:VCALENDAR