Free Boundary Problems and Related Evolution Equations

Motivation  

New exciting trends in the study of free-boundary problems have recently emerged, and renewed interest has been sparked among mathematicians, also in view of promising implications for applications. Special emphasis will be placed on shape optimization, minimal surfaces, phase-field analysis, fracture, delamination,  phase transition, mean curvature flow and quasistatic evolutions in elastic media.

 

Aim

The workshop aims at providing an international platform to present and discuss the state of the art and the most recent  developments in the field. Prominent scientists in the areas of calculus of variations, partial differential equations, geometric flows, and continuum mechanics are brought together with interested participants to promote the exchange of ideas and enhance collaborations.

 

 

Feb. 21, 2022
13:20 — 13:30
Opening
14:20 — 14:55
14:55 — 15:15
Break
16:25 — 16:35
Break
16:35 — 17:10
Feb. 22, 2022
14:05 — 14:40
14:40 — 15:00
Break
15:00 — 15:35
Dorin Bucur (University of Savoie)
Rigidity results for measurable sets
15:35 — 16:10
Gian Paolo Leonardi (University of Trento)
The prescribed mean curvature measure equation
16:10 — 16:20
Break
16:20 — 16:55
Feb. 23, 2022 Feb. 24, 2022
13:30 — 14:05
14:40 — 15:00
Break
15:00 — 15:35
15:35 — 16:10
Martin Kružík (Czech Academy of Sciences, Prague)
Equilibrium for multiphase solids with Eulerian interfaces
16:10 — 16:20
Break
Feb. 25, 2022
13:30 — 14:05
14:05 — 14:40
14:40 — 15:00
Break
15:00 — 15:35
15:35 — 16:10
16:10 — 16:20
Break
16:20 — 16:55
Irene Fonseca (Carnegie Mellon U, Pittsburgh)
Phase separation in heterogeneous media

Organizers

Name Affiliation
Giovanni Bellettini University of Siena
Shokhrukh Kholmatov University of Vienna
Paolo Piovano Politecnico di Milano

Attendees

Name Affiliation
Stefano Almi University Federico II of Napoli
Firdavs Almuratov Samarkand State University
Nadia Ansini University of Rome, La Sapienza
Jean-Francois Babadjian Paris-Saclay University
Konstantinos Bessas University of Pisa
Francesca Bianchi University of Ferrara
Tania Biswas Kyungpook National University
Farid Bozorgnia Instituto Superior Técnico Lisboa
Francesco Bozzola University of Parma
Katharina Brazda University of Vienna
Marco Bresciani Technical University of Vienna
Dorin Bucur University of Savoie
Maicol Caponi University Federico II of Napoli
Simone Carano SISSA
Nikolai Chemetov University of San Paolo
Andrea Chiesa University of Vienna
Sergio Conti University of Bonn
Anna Dall'Acqua University of Ulm
Elisa Davoli Technical University of Vienna
Thaícia De Almeida University of Évora
Daniele De Gennaro CEREMADE University Paris Dauphine
Lorenza D'Elia University of Rome Tor Vergata
Serena Della Corte Technical University Delft
Antonia Diana University Federico II of Napoli
Alberto x Dominguez Corella Technical University of Vienna
Patrick Dondl University of Freiburg
Tokuhiro Eto University of Tokyo
Nikita Evseev Sobolev Institute of Mathematics
Rifaldy Fajar University of L'Aquila
Julian Fischer Institute of Science and Technology Austria
Mattia Fogagnolo Centro De Giorgi SNS
Irene Fonseca Carnegie Mellon University
Gilles Francfort University Paris-Nord
Mattia Freguglia Scuola Normale Superiore
Harald Garcke Universität Regensburg
Carlo Gasparetto SISSA
Chiara Gavioli Technical University of Vienna
Yoshikazu Giga University of Tokyo
Wojciech Gorny University of Vienna
Maurizio Grasselli Politecnico di Milano
Nico Groh University of Duisburg-Essen
Sebastian Hensel Hausdorff Center for Mathematics, University of Bonn
Jonas Ingmanns Institute of Science and Technology Austria
Martin Jesenko University of Ljubljana
Nicolai Jork Technical University of Vienna
Milan Kroemer University of Bonn
Martin Kružík Czech Academy of Sciences
Anna Kubin Technical University of Vienna
Hirotoshi Kuroda Hokkaido University
Leonie Langer University of Ulm
Michal Lasica University of Tokyo
Tim Laux University of Bonn
Gian Paolo Leonardi University of Trento
Lorenzo Liverani Politecnico di Milano
Randy Llerena University of Vienna
Alice Marveggio Institute of Science and Technology Austria
Roberta Marziani University of Münster
Enzo Maria Merlino University of Bologna
Claudiu Mindrila Charles University Prague
Masashi Mizuno Nihon University
Anastasia Molchanova University of Vienna
Maria Giovanna Mora University of Pavia
Massimiliano Morini University of Parma
Maximilian Moser Institute of Science and Technology Austria
Marius Müller Albert Ludwigs U Freiburg
Mickael Nahon University of Savoie
Katerina Nik University of Vienna
Matteo Novaga University of Pisa
Jun Okamoto University of Tokyo
Fumihiko Onoue Scuola Normale Superiore
Valerio Pagliari Technical University of Vienna
Nicola Picenni Scuola Normale Superiore
Adriano Pisante La Sapienza University of Rome
Alessandra Pluda University of Pisa
Marcello Ponsiglione La Sapienza University of Rome
Julius Fergy Rabago Kanazawa University
Dario Reggiani Scuola Normale Meridionale
Filippo Riva University of Pavia
José Francisco Rodrigues University of Lisbon
Marlene Sophie Rose University of Bonn
Piotr Rybka University of Warsaw
Abdelmouksit Sagueni Université Claude-Bernard Lyon 1
Francesco Sapio Wolfgang Pauli Institute
Riccardo Scala University of Siena
Manuel Schlierf University of Ulm
Anja Schlömerkemper University of Würzburg
Luciano Sciaraffia University of Freiburg
Ken Shirakawa Chiba University
Ulisse Stefanelli University of Vienna
Karel Svadlenka Kyoto University
Keisuke Takasao Kyoto University
Emanuele Tasso Technical University of Vienna
Igor Velčić University of Zagreb
Andreas Vikelis University of Sussex
Anna Chiara Zagati University of Ferrara
Preview of Anna Dall'Acqua - An obstacle problem for the p-elastic energy
Anna Dall'Acqua (U Ulm): An obstacle problem for the p-elastic energy
Feb. 21, 2022 14:20 — 14:55
Preview of Maurizio Paolini - About soap films spanning a nonregular tetrahedron
Maurizio Paolini (Cat. U Brescia): About soap films spanning a nonregular tetrahedron
Feb. 21, 2022 16:35 — 17:10
Preview of Dorin Bucur - Rigidity results for measurable sets
Dorin Bucur (University of Savoie): Rigidity results for measurable sets
Feb. 22, 2022 15:00 — 15:35
Preview of Gian Paolo Leonardi - The prescribed mean curvature measure equation
Gian Paolo Leonardi (University of Trento): The prescribed mean curvature measure equation
Feb. 22, 2022 15:35 — 16:10
Preview of Alessandra Pluda - Resolution of singularities of the network flow
Alessandra Pluda (U Pisa): Resolution of singularities of the network flow
Feb. 23, 2022 14:05 — 14:40
Preview of Matteo Novaga - Isoperimetric clusters
Matteo Novaga (U Pisa): Isoperimetric clusters
Feb. 23, 2022 16:20 — 16:55
Preview of Vittorino Pata - Viscoelasticity with time-dependent memory kernels
Vittorino Pata (Politecnico Milano): Viscoelasticity with time-dependent memory kernels
Feb. 24, 2022 13:30 — 14:05
Preview of Maurizio Grasselli - Cahn-Hilliard-Hele-Shaw systems with singular potential
Maurizio Grasselli (Politecnico Milano): Cahn-Hilliard-Hele-Shaw systems with singular potential
Feb. 24, 2022 15:00 — 15:35
Preview of Martin Kruzik - Equilibrium for multiphase solids with Eulerian interfaces
Martin Kružík (Czech Academy of Sciences, Prague): Equilibrium for multiphase solids with Eulerian interfaces
Feb. 24, 2022 15:35 — 16:10
Preview of Marcello Ponsiglione - Stability results for nonlocal geometric evolutions
Marcello Ponsiglione (U Roma 1): Stability results for nonlocal geometric evolutions
Feb. 25, 2022 14:05 — 14:40
Preview of Gilles Francfort - Fracture with healing as a template for cavitation
Gilles Francfort (U Paris-Nord): Fracture with healing as a template for cavitation
Feb. 25, 2022 15:00 — 15:35
Preview of Jean-Francois Babadjian - On the convergence of critical points of the Ambrosio-Tortorelli functional
Jean-Francois Babadjian (Paris-Saclay U): On the convergence of critical points of the Ambrosio-Tortorelli functional
Feb. 25, 2022 15:35 — 16:10
Preview of Irene Fonseca - Phase separation in heterogeneous media
Irene Fonseca (Carnegie Mellon U, Pittsburgh): Phase separation in heterogeneous media
Feb. 25, 2022 16:20 — 16:55
At a glance
Type:
Online Workshop
When:
Feb. 21, 2022 — Feb. 25, 2022
Where:
Erwin Schrödinger Institute - virtual
Organizer(s):
Giovanni Bellettini (U Siena)
Shokhrukh Kholmatov (U of Vienna)
Paolo Piovano (Politecnico Milano)
More:
Website