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