Universität Wien - Fakultät für Mathematik
Winter Semester 2021
Information on the
Seminar on Calculus of Variations (VSM)
510003-1 SE, SPL Mathematik
2 weekly hours, 4.0 ECTS
Organizer
Ulisse Stefanelli
e-mail: ulisse.stefanelliunivie.ac.at
webpage: http://www.mat.univie.ac.at/~stefanelli
When and where
Mondays, 12.00-13.30.
The seminar will be held online via
zoom. Everybody is welcome, just mail your address
to appl.math@univie.ac.at to receive the permalink.
First organizational meeting on Monday, 04.10.2021
What
The seminar will offer the opportunity of getting in touch with
modern themes in the Calculus of
Variations.
All participants are welcome to contribute by
presenting a topic and by taking part in informal
discussions.
Occasionally, scientific guests will also be invited to
present.
Each student participant will be required to participate to most
weekly meetings and to deliver a presentation (25-35 min.) on a preassigned topic.
The seminar is held in English.
The Schedule
The schedule and the contents of the seminar will be
flexible and will be constantly updated:
- 04.10.2021: Organizational.
- 11.10.2021: Ulisse Stefanelli (univie): some recaps on Calc. Var.
- 18.10.2021: Tomas Roubicek (Prague): Visco-plastic elastodynamics and
poro-elastodynamics at large deformations
by Eulerian approaches.
- 08.11.2021: Manuel Seitz (univie): discrete-to-continuum in elasticity
- 15.11.2021: Fabian Rupp (univie): Willmore functional
- 22.11.2021: Anna Dolezalova (Prague): Weak limit of
homeomorphisms in W^{1,n-1} and (INV) condition
Abstract: The (INV) condition of Conti and De Lellis is not always satisfied for weak limits of homeomorphisms in W^{1,n-1}. We show sufficient assumptions when the (INV) condition holds and a new type of construction of a mapping with slightly worse properties which violates it. This is joint work with S. Hencl and J. Maly.
- 29.11.2021: Ulisse Stefanelli (univie): a result in morphoelasticity.
- 06.12.2021: Stefano Buccheri (univie): rearrangements.
- 13.12.2021: Andrea Chiesa (univie): Data-driven elasticity.
- 10.01.2022: Kevin Sturm (TU Wien): topology optimization.
- 17.01.2022:
- 24.01.2022: Students' seminars.
- 31.01.2022: Students' seminars.