Free Boundary Problems
Free Boundary Problems are ubiquitous in applications. Their mathematical treatment is a mainstay in applied mathematics and has inspired a large international community. This Thematic Program is designed to offer a platform for exchange and collaboration. Rhree workshops are planned, namely:
Workshop 1, Sept. 29 -Oct. 3, 2025: Regularity of free boundary problems;
Workshop 2, Nov. 10 - Nov. 14, 2025: Geometric variational problems;
Workshop 3, Dec. 9 - Dec.12, 2025: Free boundaries and growth.
In addition, we will series of lectures and seminars, including
Jose' A. Carrillo (Oxford): Global minimizers of interaction energies, 3h, Oct. 7 (14-15:30) and Oct. 9 (10-11:30), 2025.
Yoshihiro Tonegawa (Institute of Science Tokyo): Introduction to Brakke's mean curvature flow, 12h, Oct. 27 - Nov. 5, 2025. Link to the course website
Inwon Kim (UCLA): Interface motions and OT, 3h, Nov. 17 - Nov. 18, 2025
Please note that participation into the Thematic Programme is by invitation only.
Partial support is acknowledged from the SFB 65 Project Taming Complexity in Partial Differential Systems, financed through a grant by the Austrian Science Fund (FWF).
Sept. 29, 2025
Sept. 30, 2025
Oct. 1, 2025
Oct. 2, 2025
Oct. 3, 2025
Oct. 7, 2025
Oct. 9, 2025
Oct. 10, 2025
Oct. 27, 2025
Oct. 29, 2025
Oct. 31, 2025
Nov. 3, 2025
Nov. 5, 2025
09:00 — 09:30
Registration & Welcome
09:30 — 10:30
Nicola Soave (U Torino)
Singularly perturbed elliptic systems modeling partial separation and their free boundaries
Singularly perturbed elliptic systems modeling partial separation and their free boundaries
10:30 — 11:00
Coffee Break
11:00 — 12:00
Gianmaria Verzini (Politecnico Milano)
Singular analysis of a shape optimization problem arising in population dynamic
Singular analysis of a shape optimization problem arising in population dynamic
12:00 — 14:00
Lunch Break
14:00 — 15:00
Jack Thompson (UWA, Perth)
The nonlocal halfspace theorem
The nonlocal halfspace theorem
15:00 — 15:30
Coffee Break
15:30 — 16:30
Claudia Bucur (U degli Studi di Milano)
S-minimal functions: existence and continuity
S-minimal functions: existence and continuity
09:30 — 10:30
Xavier Tolsa (AU Barcelona)
Rectifiability, Riesz transforms, and harmonic measure
Rectifiability, Riesz transforms, and harmonic measure
10:30 — 11:00
Coffee Break
11:00 — 12:00
Mihalis Mourgoglou (Universidad del País Vasco)
Two-Phase Problems for Elliptic Measures for DMO Elliptic Operators
Two-Phase Problems for Elliptic Measures for DMO Elliptic Operators
12:00 — 14:00
Lunch Break
14:00 — 15:00
Xavier Fernandez-Real (EPFL, Lausanne)
Stable solutions for the one-phase problem
Stable solutions for the one-phase problem
15:00 — 15:30
Coffee Break
15:30 — 16:30
Dennis Kriventsov (Rutgers U)
Non-minimizing and min-max solutions to Bernoulli problems
Non-minimizing and min-max solutions to Bernoulli problems
09:00 — 10:00
Marvin Weidner (U of Bonn)
Regularity for the nonlocal one-phase problem
Regularity for the nonlocal one-phase problem
10:00 — 11:00
Mateusz Kwaśnicki (UST Wroclaw)
Liouville's theorems for Lévy operators
Liouville's theorems for Lévy operators
11:00 — 11:30
Coffee Break
11:30 — 12:30
Sunghan Kim (Uppsala U)
Constraint maps: singularities vs free boundaries
Constraint maps: singularities vs free boundaries
09:30 — 10:30
Michele Caselli (SNS Pisa)
Coercivity and Gamma-convergence of the p-energy of sphere-valued Sobolev maps
Coercivity and Gamma-convergence of the p-energy of sphere-valued Sobolev maps
10:30 — 11:00
Coffee Break
11:00 — 12:00
Jiakun Liu (U Sydney)
Free boundary problems in optimal transportation
Free boundary problems in optimal transportation
12:00 — 14:00
Lunch Break
14:00 — 15:00
Aram Karakhanyan (U of Edinburgh)
A monotonicity formula for a class of quasilinear free boundary problems
A monotonicity formula for a class of quasilinear free boundary problems
15:00 — 15:30
Coffee Break
15:30 — 16:30
María Soria-Carro (U Autonoma de Madrid)
An Elliptic-Parabolic Free Boundary Problem with Discontinuous Data
An Elliptic-Parabolic Free Boundary Problem with Discontinuous Data
09:30 — 10:30
Wenhui Shi (RWTH Aachen)
Optimal rates for Mullins-Sekerka relaxation
Optimal rates for Mullins-Sekerka relaxation
10:30 — 11:00
Coffee Break
11:00 — 12:00
Enrico Valdinoci (UWA, Perth)
Boundary continuity of nonlocal minimal surfaces in domains with singularities
Boundary continuity of nonlocal minimal surfaces in domains with singularities
14:00 — 15:30
Jose‘ A. Carrillo (U Oxford)
Global minimizes of interaction energies I
10:00 — 11:30
Jose’ A. Carrillo (U Oxford)
Global minimizers of interaction energies II
12:00 — 12:45
Dirk Peschka (WIAS Berlin)
Thin-Film Free Boundary Problems with Moving Contact Lines - Modelling, Numerics, and Model Hierarchies
15:15 — 17:00
Yoshihiro Tonegawa (Inst. of Science Tokyo)
Introduction to Brakke's Mean Curvature Flow, SRF Lecture Course 1
15:15 — 17:00
Yoshihiro Tonegawa (Inst. of Science Tokyo)
Introduction to Brakke's Mean Curvature Flow, SRF Lecture Course 2
15:15 — 17:00
Yoshihiro Tonegawa (Inst. of Science Tokyo)
Introduction to Brakke's Mean Curvature Flow, SRF Lecture Course 3
15:15 — 17:00
Yoshihiro Tonegawa (Inst. of Science Tokyo)
Introduction to Brakke's Mean Curvature Flow, SRF Lecture Course 4
15:15 — 17:00
Yoshihiro Tonegawa (Inst. of Science Tokyo)
Introduction to Brakke's Mean Curvature Flow, SRF Lecture Course 5
This event has no subevents associated to it.
Organizers
| Name | Affiliation |
|---|---|
| Serena Dipierro | University of Western Australia |
| Julian Fischer | Institute of Science and Technology Austria |
| Matteo Novaga | University of Pisa |
| Elisabetta Rocca | University of Pavia |
| Xavier Ros-Oton | University of Barcelona |
| Ulisse Stefanelli | University of Vienna |
| Enrico Valdinoci | University of Western Australia |
Attendees
| Name | Affiliation |
|---|---|
| Helmut Abels | University of Regensburg |
| Abramo Agosti | Universita degli Studi (Pavia) |
| Goro Akagi | Tohoku University |
| Nuno Alves | University of Vienna |
| Anton Arnold | Technical University of Vienna |
| Costante Bellettini | University College London |
| Alberto Bressan | The Pennsylvania State University |
| Giovanni Brigati | Institute of Science and Technology Austria |
| Claudia Bucur | Università degli Studi di Milano |
| Sun-Sig Byun | Seoul National University |
| Jose Antonio Carrillo de la Plata | University of Oxford |
| Michele Caselli | Scuola Normale Superiore |
| Giulia Cavalleri | University of Pavia |
| Cecilia Cavaterra | Università degli Studi di Milano |
| Annalisa Cesaroni | University of Padova |
| Antonin Chambolle | CEREMADE University Paris Dauphine |
| Andrea Chiesa | University of Vienna |
| Pasquale Ciarletta | Politecnico di Milano |
| Pierluigi Colli | University of Pavia |
| Anna Dall'Acqua | University of Ulm |
| Elisa Davoli | Technical University of Vienna |
| Pierre Degond | Institut de Mathématiques de Toulouse |
| Luigi De Masi | University of Trento |
| Guido De Philippis | Courant Institute of Mathematical Sciences |
| Antonio De Rosa | Università Commerciale Luigi Bocconi |
| Georg Dolzmann | University of Regensburg |
| Patrick Dondl | Albert Ludwigs U Freiburg |
| Charles Elliott | University of Warwick |
| Alexander Erlich | CNRS - Université Grenoble Alpes |
| Alberto Fanizza | TU Wien |
| Max Fathi | Université Paris Cité |
| William Feldman | University of Utah |
| Xavier Fernandez-Real | EPFL, Lausanne |
| Enric Florit-Simon | ETH Zürich |
| Irene Fonseca | Carnegie Mellon University |
| Matteo Fornoni | University of Milan |
| Federico Franceschini | Institute for Advanced Study |
| Takeshi Fukao | Ryukoku University |
| Harald Garcke | University of Regensburg |
| Rossella Giorgio | Technical University of Vienna |
| Chiara Giverso | Politecnico di Torino |
| Michael Goldman | CNRS & Ecole Polytechnique, Palaiseau |
| Maurizio Grasselli | Politecnico di Milano |
| Sebastian Hensel | Hausdorff Center for Mathematics, University of Bonn |
| Ansgar Jüngel | Technical University of Vienna |
| Aram Karakhanyan | University of Edinburgh |
| Shokhrukh Kholmatov | University of Vienna |
| Inwon Christina Kim | University of California, Los Angeles |
| Sunghan Kim | Uppsala University |
| Konstantinos Koumatos | University of Sussex |
| Dennis Kriventsov | Rutgers University |
| Martin Kružík | Czech Academy of Sciences |
| Anna Kubin | TU Wien |
| Kota Kumazaki | Kyoto University of Education |
| Mateusz Kwaśnicki | Wroclaw University of Science and Technology |
| Kei Fong Andrew Lam | Hong Kong Baptist University |
| Xavier Lamy | Institut de Mathématiques de Toulouse |
| Robert Lasarzik | Weierstrass Institute Berlin |
| Tim Laux | Heidelberg University |
| Marta Lewicka | University of Pittsburgh |
| Jiakun Liu | University of Sydney |
| Luca Lombardini | University of Vienna |
| Jan Maas | Institute of Science and Technology Austria |
| Carlo Mantegazza | University Federico II of Napoli |
| Alice Marveggio | Hausdorff Center for Mathematics, University of Bonn |
| Sara Merino-Aceituno | University of Vienna |
| Alain Miranville | Université Le Havre Normandie |
| Tatsuya Miura | Kyoto University |
| Anastasia Molchanova | TU Wien |
| Mihalis Mourgoglou | Universidad del País Vasco |
| Yoshihito Nakajima | Tohoku University |
| Francesco Nobili | University of Pisa |
| Davide Parise | Imperial College London |
| Dirk Peschka | Weierstrass Institute Berlin |
| Alessandro Pigati | Università Commerciale Luigi Bocconi |
| Alessandra Pluda | University of Pisa |
| Andrea Poiatti | University of Vienna |
| Marco Pozzetta | Politecnico di Milano |
| Paola Pozzi | University of Duisburg-Essen |
| Mariya Ptashnyk | Heriot-Watt University |
| Filippo Quattrocchi | Institute of Science and Technology Austria |
| Pierre Recho | CNRS - Université Grenoble Alpes |
| Samuele Riccò | Technical University of Vienna |
| José Francisco Rodrigues | University of Lisbon |
| Tomàś Roubíček | Charles University Prague |
| Melanie Rupflin | University of Oxford |
| Fabian Rupp | University of Vienna |
| Luca Scarpa | Politecnico di Milano |
| Felix Schulze | University of Warwick |
| Daniele Semola | University of Vienna |
| Henrik Shahgholian | KTH Royal Institute of Technology |
| Wenhui Shi | RWTH Aachen |
| Andrea Signori | Politecnico di Milano |
| Lauro Silini | Institute of Science and Technology Austria |
| Theresa Simon | University of Münster |
| Nicola Soave | University of Torino |
| Giacomo Enrico Sodini | University of Vienna |
| María Soria-Carro | Universidad Autonoma de Madrid |
| Salvatore Stuvard | Università degli Studi di Milano |
| Jack Thompson | University of Western Australia |
| Xavier Tolsa | Autonomous University of Barcelona |
| Giuseppe Tomassetti | University Roma Tre |
| Yoshihiro Tonegawa | Institute of Science Tokyo |
| Lev Truskinovsky | Univertsité PSL, Paris |
| Tobias Unterberger | TU Wien |
| José Miguel Urbano | King Abdullah University of Science and Technology |
| Bozhidar Velichkov | University of Pisa |
| Gianmaria Verzini | Politecnico di Milano |
| Andreas Vikelis | University of Vienna |
| Julian Walser | University of Vienna |
| Gaoming Wang | Yau Mathematical Sciences Center, Tsinghua University |
| Marvin Weidner | Universität Bonn |
| Georg Weiss | University of Duisburg-Essen |
| Hao Wu | Fudan University |
| Jack Xin | University of California, Irvine |
| Hui Yu | National University of Singapore |
| Rada Ziganshina | KTH Royal Institute of Technology |
| Giuseppe Zurlo | National University of Ireland, Galway |
Nicola Soave (U Torino): Singularly perturbed elliptic systems modeling partial separation and their free boundaries
Sept. 29, 2025 09:30 — 10:30
Sept. 29, 2025 09:30 — 10:30
Gianmaria Verzini (Politecnico Milano): Singular analysis of a shape optimization problem arising in population dynamic
Sept. 29, 2025 11:00 — 12:00
Sept. 29, 2025 11:00 — 12:00
Dennis Kriventsov (Rutgers U): Non-minimizing and min-max solutions to Bernoulli problems
Sept. 30, 2025 15:30 — 16:30
Sept. 30, 2025 15:30 — 16:30
Marvin Weidner (U of Bonn): Regularity for the nonlocal one-phase problem
Oct. 1, 2025 09:00 — 10:00
Oct. 1, 2025 09:00 — 10:00
Michele Caselli (SNS Pisa): Coercivity and Gamma-convergence of the p-energy of sphere-valued Sobolev maps
Oct. 2, 2025 09:30 — 10:30
Oct. 2, 2025 09:30 — 10:30
María Soria-Carro (U Autonoma de Madrid): An Elliptic-Parabolic Free Boundary Problem with Discontinuous Data
Oct. 2, 2025 15:30 — 16:30
Oct. 2, 2025 15:30 — 16:30
Enrico Valdinoci (UWA, Perth): Boundary continuity of nonlocal minimal surfaces in domains with singularities
Oct. 3, 2025 11:00 — 12:00
Oct. 3, 2025 11:00 — 12:00
At a glance
- Type:
- Thematic Programme
- When:
- Sept. 29, 2025 — Dec. 19, 2025
- Where:
- ESI Boltzmann Lecture Hall
- Organizer(s):
-
Serena Dipierro (UWA, Perth)
Julian Fischer (ISTA, Klosterneuburg)
Matteo Novaga (U Pisa)
Elisabetta Rocca (U of Pavia)
Xavier Ros-Oton (U of Barcelona)
Ulisse Stefanelli (U of Vienna)
Enrico Valdinoci (UWA, Perth)