BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Anna Doležalová (Institute of Information Theory and Automation\ , CAS) DTSTART:20260105T144000Z DTEND:20260105T161000Z DTSTAMP:20260405T174807Z UID:NSCM/196 DESCRIPTION:Title: M ission p smaller than n-1: Possible - Nonlinear Elasticity Beyond Conventi onal Limits\nby Anna Doležalová (Institute of Information Theory and Automation\, CAS) as part of Nečas Seminar on Continuum Mechanics\n\nLec ture held in Room K3\, Faculty of Mathematics and Physics\, Charles Unive rsity\, Sokolovská 83 Prague 8..\n\nAbstract\nIn models of Nonlinear Ela sticity\, the natural physical deformation is a minimizer of an energy fun ctional containing the integral of $|Df(x)|^p$\, and we search for the min imizer in the Sobolev space $W^{1\,p}(\\Omega\, R^n)$. In the previous re sults\, one assumes that p is at least n-1 to ensure the non-interpenetrat ion of matter.\nIn this talk we prove the lower semicontinuity of an energ y functional that allows\, for the first time\, for $p$ less than $n-1$. O ur class of admissible deformations consists of weak limits of Sobolev hom eomorphisms. We also introduce a model that allows for cavitations by stud ying weak limits of homeomorphisms that can open cavities at some points. In that model we add the measure of the created surface to the energy func tional and we again prove lower semicontinuity.\nThis is a joint work with Daniel Campbell and Stanislav Hencl.\n LOCATION:https://researchseminars.org/talk/NSCM/196/ END:VEVENT END:VCALENDAR