BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Michael Růžička (University of Freiburg) DTSTART:20221205T161000Z DTEND:20221205T171000Z DTSTAMP:20260405T174808Z UID:NSCM/94 DESCRIPTION:Title: Ex istence proofs for pseudomonotone parabolic problems\nby Michael Růž ička (University of Freiburg) as part of Nečas Seminar on Continuum Mech anics\n\nLecture held in Institute of Mathematics\, Žitná 25\, Praha 1\ , library.\n\nAbstract\nIn the talk we discuss nonlinear parabolic problem s which \ncontain a pseudomonotone operator. A new notion of Bochner pseud omonotonicity is introduced and \napplied. Extensions to quasi non-conform ing and non-conforming Bochner pseudomonotonicity yield\nconvergence proo fs for fully discrete Rothe–Galerkin schemes in the framework of discre tely divergence free FE and DG methods.\n\nReferences\n[1] E. Baumle and M . Růžička: Note on the existence theory for evolution \nequations with pseudomonotone operators\, Ric. Mat.\, 2017.\n\n[2] S. Bartels\, M. Růži čka: Convergence of fully discrete implicit and \nsemi-implicit approxima tions of singular parabolic equations\, SIAM J. Numer. Anal.\, 2020.\n\n[3 ] A. Kaltenbach\, M. Růžička: Note on the existence theory for \npseudo -monotone evolution problems\, J. Evol. Equ.\, 2021.\n\n[4] L.C. Berselli\ , A. Kaltenbach\, M. Růžička: Analysis of fully \ndiscrete\, quasi non- conforming approximations of evolution equations and applications\, Math. Models \nMethods Appl. Sci.\, 2021.\n\n[5] A. Kaltenbach\, M. Růžička: Analysis of fully discrete\, non-conforming approximation of evolution eq uations and applications\, in preparation\, 2022.\n LOCATION:https://researchseminars.org/talk/NSCM/94/ END:VEVENT END:VCALENDAR