Universität Wien - Fakultät für Mathematik
Winter Semester 2020
Information on the
Seminar on Calculus of Variations (VSM)
510004 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 by Sat 03.10.2020
to appl.math@univie.ac.at to receive the weekly link.
First organizational meeting on Monday, 05.10.2020
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
in the weekly meetings and to deliver a presentation 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:
- 05.10.2020: Organizational
- 12.10.2020: Emanuele Tasso (TU Dresden):
Brittle fracture in linearly elastic plates and shells: a dimension reduction approach
- 19.10.2020: NO SEMINAR
- 02.11.2020: NO SEMINAR (Vorlesungsfrei)
- 09.11.2020: Laurent Betermin: Born's Conjecture
- 16.11.2020: Stefano Buccheri: The p-Laplacian operator as p diverges: a friendly tour with some new results
- 23.11.2020: Anna Dolezalova (Charles, Prague): Hausdorff measure of
critical set for Luzin N condition
Abstract: For any p smaller than n there exists a homeomorphism f belonging to W^{1,p}([0,1]^n, [0,1]^n) which violates the Luzin N condition. We study the size of the critical set $C$ for the N condition and characterize its lower and upper bounds from the perspective of Hausdorff measures defined by a general gauge function. We will start the talk with a brief overview of known results, show the Ponomarev construction of homeomorphisms violating the N condition and then sketch the proof for the lower and upper bound.
- 30.11.2020: Tomas Roubicek: Semicompressible fluids
- 07.12.2020: Ulisse Stefanelli: Archimedes problem
- 14.12.2020: Ulisse Stefanelli: Archimedes problem 2
- 11.01.2021: Students' seminars
- 18.01.2021: Students' seminars
- 25.01.2021: Students' seminars