BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Filippo Riva (Faculty of Mathematics and Physics\, Charles Univers ity) DTSTART:20251020T134000Z DTEND:20251020T151000Z DTSTAMP:20260405T175158Z UID:NSCM/187 DESCRIPTION:Title: A free boundary approach to quasistatic debonding\nby Filippo Riva (Fac ulty of Mathematics and Physics\, Charles University) as part of Nečas Se minar on Continuum Mechanics\n\nLecture held in Room K3\, Faculty of Math ematics and Physics\, Charles University\, Sokolovská 83 Prague 8..\n\nA bstract\nDebonding models describe the evolution of an adhesive membrane p eeled away from a planar rigid substrate. When the process is sufficiently slow\, inertial and viscous effects can be neglected\, leading to a quasi static setting. In this framework\, debonding can be formulated as a varia tional evolution of sets. In the talk\, I will present how to prove the ex istence of so-called energetic solutions for this formulation—based on g lobal minimizers of a suitable functional together with an energy balance —by exploiting an equivalent rewriting of the model in terms of the cele brated one-phase Bernoulli free boundary problem. This is based on a joint work with E. Maggiorelli and E. Tolotti.\nIf time permits\, I will also d iscuss the dynamic version of the problem\, in which inertial effects are taken into account. In this setting\, a wave equation on moving domains is coupled with a suitable criterion governing the evolution of such domains . The problem\, formulated in collaboration with G. Lazzaroni\, R. Molinar olo\, and F. Solombrino\, is still open.\n LOCATION:https://researchseminars.org/talk/NSCM/187/ END:VEVENT END:VCALENDAR