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
Feb. 22, 2022
Feb. 23, 2022
Feb. 24, 2022
Feb. 25, 2022
13:20 — 13:30
Opening
13:30 — 14:20
Yoshikazu Giga (U Tokyo)
On a singular limit of a single-well Modica-Mortola functional and its applications
On a singular limit of a single-well Modica-Mortola functional and its applications
14:20 — 14:55
Anna Dall'Acqua (U Ulm)
An obstacle problem for the p-elastic energy
An obstacle problem for the p-elastic energy
14:55 — 15:15
Break
15:15 — 15:50
Piotr Rybka (U Warsaw)
Dynamic boundary conditions as a limit of a boundary layer problem
Dynamic boundary conditions as a limit of a boundary layer problem
15:50 — 16:25
Maria Giovanna Mora (U of Pavia)
Explicit minimizers for a class of nonlocal interaction energies
Explicit minimizers for a class of nonlocal interaction energies
16:25 — 16:35
Break
16:35 — 17:10
Maurizio Paolini (Cat. U Brescia)
About soap films spanning a nonregular tetrahedron
About soap films spanning a nonregular tetrahedron
13:30 — 14:05
Nicola Fusco (U Napoli)
The isoperimetric inequality outside a convex set: the case of equality
The isoperimetric inequality outside a convex set: the case of equality
14:05 — 14:40
Massimiliano Morini (U of Parma)
The asymptotics of the area preserving mean curvature flow in two dimensions
The asymptotics of the area preserving mean curvature flow in two dimensions
14:40 — 15:00
Break
15:00 — 15:35
Dorin Bucur (University of Savoie)
Rigidity results for measurable sets
Rigidity results for measurable sets
15:35 — 16:10
Gian Paolo Leonardi (U of Trento)
The prescribed mean curvature measure equation
The prescribed mean curvature measure equation
16:10 — 16:20
Break
16:20 — 16:55
Stefan Krömer (Czech Academy of Sciences, Prague)
Relaxation of functionals with linear growth: Interaction of measures and free discontinuities
Relaxation of functionals with linear growth: Interaction of measures and free discontinuities
13:30 — 14:05
Harald Garcke (U of Regensburg)
On the interaction of mean curvature flow and diffusion on evolving hypersurfaces
On the interaction of mean curvature flow and diffusion on evolving hypersurfaces
14:05 — 14:40
Alessandra Pluda (U Pisa)
Resolution of singularities of the network flow
Resolution of singularities of the network flow
14:40 — 15:00
Break
15:00 — 15:35
15:35 — 16:10
Riccardo Scala (U Siena)
A non-parametric Plateau problem with partial free boundary
A non-parametric Plateau problem with partial free boundary
16:10 — 16:20
Break
16:20 — 16:55
Matteo Novaga (U Pisa)
Isoperimetric clusters
Isoperimetric clusters
13:30 — 14:05
Vittorino Pata (Politecnico Milano)
Viscoelasticity with time-dependent memory kernels
Viscoelasticity with time-dependent memory kernels
14:05 — 14:40
Patrick Dondl (U of Freiburg)
A proof of Taylor scaling for curvature-driven dislocation motion through random arrays of obstacles
A proof of Taylor scaling for curvature-driven dislocation motion through random arrays of obstacles
14:40 — 15:00
Break
15:00 — 15:35
Maurizio Grasselli (Politecnico Milano)
Cahn-Hilliard-Hele-Shaw systems with singular potential
Cahn-Hilliard-Hele-Shaw systems with singular potential
15:35 — 16:10
Martin Kružík (Czech Academy of Sciences, Prague)
Equilibrium for multiphase solids with Eulerian interfaces
Equilibrium for multiphase solids with Eulerian interfaces
16:10 — 16:20
Break
16:20 — 16:55
Igor Velčić (U Zagreb)
High-contrast random composites: homogenisation framework and new spectral phenomena
High-contrast random composites: homogenisation framework and new spectral phenomena
16:55 — 17:30
Anja Schlömerkemper (U of Würzburg)
Extensions of the Cahn-Hilliard equation to a temperature-dependent setting
Extensions of the Cahn-Hilliard equation to a temperature-dependent setting
13:30 — 14:05
Adriana Garroni (U Roma 1, Sapienza)
Derivation of surface tension of grain boundaries in polycystals
Derivation of surface tension of grain boundaries in polycystals
14:05 — 14:40
Marcello Ponsiglione (U Roma 1)
Stability results for nonlocal geometric evolutions
Stability results for nonlocal geometric evolutions
14:40 — 15:00
Break
15:00 — 15:35
Gilles Francfort (U Paris-Nord)
Fracture with healing as a template for cavitation
Fracture with healing as a template for cavitation
15:35 — 16:10
Jean-Francois Babadjian (Paris-Saclay U)
On the convergence of critical points of the Ambrosio-Tortorelli functional
On the convergence of critical points of the Ambrosio-Tortorelli functional
16:10 — 16:20
Break
16:20 — 16:55
Irene Fonseca (Carnegie Mellon U, Pittsburgh)
Phase separation in heterogeneous media
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 | University of 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 | TU Wien |
| 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 |
Yoshikazu Giga (U Tokyo): On a singular limit of a single-well Modica-Mortola functional and its applications
Feb. 21, 2022 13:30 — 14:20
Feb. 21, 2022 13:30 — 14:20
Piotr Rybka (U Warsaw): Dynamic boundary conditions as a limit of a boundary layer problem
Feb. 21, 2022 15:15 — 15:50
Feb. 21, 2022 15:15 — 15:50
Maria Giovanna Mora (U of Pavia): Explicit minimizers for a class of nonlocal interaction energies
Feb. 21, 2022 15:50 — 16:25
Feb. 21, 2022 15:50 — 16:25
Maurizio Paolini (Cat. U Brescia): About soap films spanning a nonregular tetrahedron
Feb. 21, 2022 16:35 — 17:10
Feb. 21, 2022 16:35 — 17:10
Nicola Fusco (U Napoli): The isoperimetric inequality outside a convex set: the case of equality
Feb. 22, 2022 13:30 — 14:05
Feb. 22, 2022 13:30 — 14:05
Dorin Bucur (University of Savoie): Rigidity results for measurable sets
Feb. 22, 2022 15:00 — 15:35
Feb. 22, 2022 15:00 — 15:35
Gian Paolo Leonardi (U of Trento): The prescribed mean curvature measure equation
Feb. 22, 2022 15:35 — 16:10
Feb. 22, 2022 15:35 — 16:10
Harald Garcke (U of Regensburg): On the interaction of mean curvature flow and diffusion on evolving hypersurfaces
Feb. 23, 2022 13:30 — 14:05
Feb. 23, 2022 13:30 — 14:05
Alessandra Pluda (U Pisa): Resolution of singularities of the network flow
Feb. 23, 2022 14:05 — 14:40
Feb. 23, 2022 14:05 — 14:40
Tim Laux (U Bonn): A new varifold solution concept for mean curvature flow: Convergence of the Allen–Cahn equation and weak-strong uniqueness
Feb. 23, 2022 15:00 — 15:35
Feb. 23, 2022 15:00 — 15:35
Riccardo Scala (U Siena): A non-parametric Plateau problem with partial free boundary
Feb. 23, 2022 15:35 — 16:10
Feb. 23, 2022 15:35 — 16:10
Vittorino Pata (Politecnico Milano): Viscoelasticity with time-dependent memory kernels
Feb. 24, 2022 13:30 — 14:05
Feb. 24, 2022 13:30 — 14:05
Patrick Dondl (U of Freiburg): A proof of Taylor scaling for curvature-driven dislocation motion through random arrays of obstacles
Feb. 24, 2022 14:05 — 14:40
Feb. 24, 2022 14:05 — 14:40
Maurizio Grasselli (Politecnico Milano): Cahn-Hilliard-Hele-Shaw systems with singular potential
Feb. 24, 2022 15:00 — 15:35
Feb. 24, 2022 15:00 — 15:35
Martin Kružík (Czech Academy of Sciences, Prague): Equilibrium for multiphase solids with Eulerian interfaces
Feb. 24, 2022 15:35 — 16:10
Feb. 24, 2022 15:35 — 16:10
Igor Velčić (U Zagreb): High-contrast random composites: homogenisation framework and new spectral phenomena
Feb. 24, 2022 16:20 — 16:55
Feb. 24, 2022 16:20 — 16:55
Anja Schlömerkemper (U of Würzburg): Extensions of the Cahn-Hilliard equation to a temperature-dependent setting
Feb. 24, 2022 16:55 — 17:30
Feb. 24, 2022 16:55 — 17:30
Marcello Ponsiglione (U Roma 1): Stability results for nonlocal geometric evolutions
Feb. 25, 2022 14:05 — 14:40
Feb. 25, 2022 14:05 — 14:40
Gilles Francfort (U Paris-Nord): Fracture with healing as a template for cavitation
Feb. 25, 2022 15:00 — 15:35
Feb. 25, 2022 15:00 — 15:35
Jean-Francois Babadjian (Paris-Saclay U): On the convergence of critical points of the Ambrosio-Tortorelli functional
Feb. 25, 2022 15:35 — 16:10
Feb. 25, 2022 15:35 — 16:10
Irene Fonseca (Carnegie Mellon U, Pittsburgh): Phase separation in heterogeneous media
Feb. 25, 2022 16:20 — 16:55
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