BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Bernd Schmidt (University of Augsburg) DTSTART:20240226T144000Z DTEND:20240226T161000Z DTSTAMP:20260405T175426Z UID:NSCM/130 DESCRIPTION:Title: O n the Stability of Objective Structures\nby Bernd Schmidt (University of Augsburg) as part of Nečas Seminar on Continuum Mechanics\n\nLecture h eld in Room K3\, Faculty of Mathematics and Physics\, Charles University\ , Sokolovská 83 Prague 8..\n\nAbstract\nWe discuss the stability of obje ctive structures of interacting atoms that form a far reaching generalizat ion of crystal lattices. To this end\, we use methods from harmonic analys is to set up a second derivative test of the configurational energy at equ ilibria\, a key point being the identification of a carefully chosen semin orm with respect to which coercivity is estimated. In particular\, a novel discrete Korn type inequality is established in the setting of objective structures. We also provide an efficient algorithm to check for atomistic stability which we illustrate numerically for a general carbon nanotube. ( This is joint work with M. Steinbach\, Augsburg)\n LOCATION:https://researchseminars.org/talk/NSCM/130/ END:VEVENT END:VCALENDAR