Between Regularity and Defects: Variational and Geometrical Methods in Materials Science

Predicting how different materials behave when undergoing external stresses is a fundamental issue in Materials Science attracting the attention of the mathematical, physical, and engineering communities. The applicative implications of such a basic question are paramount in numerous industrial sectors, ranging from health care to civil engineering and renewable energies. In all these areas, we are interested in the material elastic response and in the development of defects, which could lead to failure.

A deep understanding of the above phenomena is crucial and comes with a number of challenging questions regarding the mathematical modeling and analysis in Continuum Mechanics. One of the main goals of this workshop is to bring together researchers with common interests at the interface between Geometrical Analysis, Calculus of Variations, Partial Differential Equations, and applications to Materials Science in order to tackle the most recent advances in the theory.

Contact
For questions regarding the workshop anastasia.molchanova@univie.ac.at or stefano.almi@unina.it.

The Workshop Between Regularity and Defects: Variational and Geometrical Methods in Materials Science is organized thanks to a grant by the Erwin Schrödinger International Institute for Mathematics and Physics (ESI), a programme-oriented research institute for mathematics and physics at the University of Vienna.

ESI Workshop. Between Regularity and Defects: Variational and Geometrical Methods in Materials Science

 

Feb. 20, 2023
09:00 — 09:30
Registration
09:30 — 09:40
Welcome
10:20 — 10:50
Coffee Break
10:50 — 11:30
12:15 — 12:30
Group picture
12:30 — 14:00
Lunch Break
14:00 — 14:40
14:40 — 15:20
Tomáš Roskovec (U. of South Bohemia)
Modern trends in Gagliardo-Nirenberg inequality
15:20 — 15:50
Coffee Break
15:50 — 16:30
Feb. 21, 2023
09:00 — 09:40
Manuel Friedrich (FAU Erlangen-Nürnberg)
Finite crystallization via stratification
10:20 — 10:50
Coffee Break
10:50 — 11:30
Lucia Scardia (Heriot-Watt U, Edinburgh)
Minimisers of anisotropic Coulomb energies in 3d
12:10 — 14:00
Lunch Break
14:40 — 15:20
15:20 — 15:50
Coffee Break
Feb. 22, 2023
09:00 — 09:40
Stefan Krömer (Czech Academy of Sciences, Prague)
Thin film asymptotics in a model related to single-crystal plasticity
09:40 — 10:20
Barbora Benešová (Charles U, Prague)
Non-interpenetration in thin-film models
10:20 — 10:50
Coffee Break
10:50 — 11:30
Jani Onninen (Syracuse U)
Quasiregular values
11:30 — 12:10
Aleksis Koski (U Helsinki)
Sobolev Homeomorphic Extensions
18:00
Social Dinner
Feb. 23, 2023
09:40 — 10:20
Barbara Zwicknagl (HU Berlin)
Pattern formation in helimagnets
10:20 — 10:50
Coffee Break
10:50 — 11:30
12:10 — 14:00
Lunch Break
14:00 — 14:40
15:20 — 15:50
Coffee Break
Feb. 24, 2023
10:20 — 10:50
Coffee Break
11:30 — 12:10
Marco Cicalese (TU Munich)
From crystals to Wulff shapes
12:10 — 12:50
Martin Kružík (Czech Academy of Sciences, Prague)
Minimal Energy for Geometrically Nonlinear Elastic Inclusions in Two Dimensions

Organizers

Name Affiliation
Stefano Almi University Federico II of Napoli
Anastasia Molchanova University of Vienna

Attendees

Name Affiliation
Jean-Francois Babadjian Paris-Saclay University
Marco Barchiesi University of Trieste
Barbora Benešová Charles University Prague
Giacomo Bertazzoni University of Modena and Reggio Emilia
Francesco Bozzola University of Parma
Katharina Brazda University of Vienna
Marco Bresciani Friedrich-Alexander Universität Erlangen-Nürnberg
Daniel Campbell Charles University Prague
Maicol Caponi University Federico II of Napoli
Andrea Chiesa University of Vienna
Debajyoti Choudhuri National Institute of Technology Rourkela
Marco Cicalese Technical University of Munich
Elisa Davoli Technical University of Vienna
Lorenza D'Elia Technical University of Vienna
Jakob Deutsch Technical University of Vienna
Anna Doležalová Charles University Prague
Manuel Friedrich Friedrich-Alexander Universität Erlangen-Nürnberg
Myrto Galanopoulou Heriot-Watt University
Chiara Gavioli Technical University of Vienna
Rossella Giorgio Technical University of Vienna
Wojciech Gorny University of Vienna
Leon Happ Technical University of Vienna
Susanna Heikkilä University of Helsinki
Tim Heilmann Technical University of Munich
Stanislav Hencl Charles University Prague
Flaviana Iurlano CNRS
Pekka Koskela University of Jyväskylä
Aleksis Koski University of Helsinki
Carolin Kreisbeck Katholische Universitä Eichstätt-Ingolstadt
Stefan Krömer Czech Academy of Sciences
Martin Kružík Czech Academy of Sciences
Andrea Kubin Technische Universität München
Anna Kubin Technical University of Vienna
Luca Lombardini Technical University of Vienna
Carlos Mora Corral Universidad Autonoma de Madrid
Marco Morandotti Politecnico di Torino
Jani Onninen Syracuse University
Valerio Pagliari Technical University of Vienna
Pekka Pankka University of Helsinki
Marcello Ponsiglione La Sapienza University of Rome
Aldo Pratelli University of Pisa
Stephen Preston Brooklyn College
Emanuela Radici University of L'Aquila
Dario Reggiani Scuola Normale Meridionale
Samuele Riccò Technical University of Vienna
Chiara Rigoni University of Vienna
Filippo Riva University of Pavia
Tomáš Roskovec University of South Bohemia in České Budějovice
Fabian Rupp University of Vienna
Lucia Scardia Heriot-Watt University
Sebastian Schwarzacher Uppsala University
Manuel Seitz University of Vienna
Viktor Shcherbakov Universität Kassel
Giacomo Enrico Sodini University of Vienna
Francesco Solombrino University Federico II of Napoli
Filip Soudský Technical University of Liberec
Ulisse Stefanelli University of Vienna
Emanuele Tasso Technical University of Vienna
Andrea Torricelli University of Modena and Reggio Emilia
Alice Barbara Tumpach Wolfgang Pauli Institut
Andreas Vikelis University of Vienna
Riccardo Voso University of Vienna
Barbara Zwicknagl Humboldt University
Preview of Marco Morandotti - Semi-discrete modeling of systems of disclinations and dislocations
Marco Morandotti (Politecnico, Torino): Semi-discrete modeling of systems of disclinations and dislocations
Feb. 20, 2023 14:00 — 14:40
Preview of Tomáš Roskovec - Modern trends in Gagliardo-Nirenberg inequality
Tomáš Roskovec (U. of South Bohemia): Modern trends in Gagliardo-Nirenberg inequality
Feb. 20, 2023 14:40 — 15:20
Preview of Manuel Friedrich - Finite crystallization via stratification
Manuel Friedrich (FAU Erlangen-Nürnberg): Finite crystallization via stratification
Feb. 21, 2023 09:00 — 09:40
Preview of Barbora Benešová - Non-interpenetration in thin-film models
Barbora Benešová (Charles U, Prague): Non-interpenetration in thin-film models
Feb. 22, 2023 09:40 — 10:20
Preview of Aleksis Koski - Sobolev Homeomorphic Extensions
Aleksis Koski (U Helsinki): Sobolev Homeomorphic Extensions
Feb. 22, 2023 11:30 — 12:10
Preview of Carlos Mora Corral - Regularity, cavitation and harmonic dipoles in Nonlinear Elasticity
Carlos Mora Corral (U Autonoma de Madrid): Regularity, cavitation and harmonic dipoles in Nonlinear Elasticity
Feb. 23, 2023 10:50 — 11:30
Preview of Daniel Campbell - Injectivity in second-gradient Nonlinear Elasticity
Daniel Campbell (Charles U, Prague): Injectivity in second-gradient Nonlinear Elasticity
Feb. 23, 2023 14:00 — 14:40
At a glance
Type:
Workshop
When:
Feb. 20, 2023 — Feb. 24, 2023
Where:
ESI Boltzmann Lecture Hall
Organizer(s):
Stefano Almi (U Napoli)
Anastasia Molchanova (U of Vienna)