18:00-21:00 Welcome reception
18:00-21:00, restaurant Krakus
08:30-09:00 Opening
08:30-09:00, building U-2, auditorium
09:00-10:00 Plenary lecture
Chair: Michał Misiurewicz
09:00-10:00, building U-2, auditorium
Shing-Tung Yau, Harvard University, USA
10:00-10:40 Coffee break
10:00-10:40, restaurant Krakus
10:40-12:30 Parallel sessions
Session D21
Mini-symposium D214 Nonlocal minimal surfaces and related equations
Chair: Giovanni Bellettini
10:40-11:10, building B-8, room 0.10a
Giovanni Bellettini, University of Siena & ICTP, Italy
ON THE RELAXED AREA OF THE GRAPH OF NONSMOOTH MAPS FROM THE PLANE TO THE PLANE
11:15-11:35, building B-8, room 0.10a
Matteo Cozzi, University of Bath, UK
11:40-12:00, building B-8, room 0.10a
Vesa Julin, University of Jyväskylä, Finland
Session D22
Mini-symposium D223 Optimal control for stochastic evolution equations
Chair: Bohdan Maslowski
10:40-11:10, building B-8, room 0.18
Bohdan Maslowski, Charles University, Czech Republic
FILTERING AND OPTIMAL CONTROL AND FOR GAUSS-VOLTERRA PROCESSES IN HILBERT SPACES
11:15-11:35, building B-8, room 0.18
Petr Čoupek, Charles University, Czech Republic
11:40-12:00, building B-8, room 0.18
Giorgio Fabbri, CNRS, France
12:05-12:25, building B-8, room 0.18
Marco Fuhrman, University of Milan, Italy
OPTIMAL CONTROL OF STOCHASTIC EVOLUTION EQUATIONS VIA RANDOMIZATION AND BACKWARD SDES
Session D23
Mini-symposium D232 Numerical methods for heterogeneous multiscale problems
Chair: Juan Galvis
10:40-11:10, building B-8, room 3.21
Juan Galvis, National University of Colombia, Colombia
11:15-11:35, building B-8, room 3.21
David Pardo, University of the Basque Country & BCAM, Spain
EFFECTIVE COMPRESSIONAL WAVE VELOCITY ESTIMATION FOR POROUS ROCKS
11:40-12:00, building B-8, room 3.21
Marcus Sarkis, Worcester Polytechnic Institute, USA
ROBUST MODEL REDUCTIONS FOR DARCY EQUATIONS WITH HIGH-CONTRAST COEFFICIENTS
Session D24
Mini-symposium D244 Asymptotics of stochastic partial differential equations
Chair: Tusheng Zhang
10:40-11:10, building B-8, room 2.18
Tusheng Zhang, University of Manchester, UK
LARGE DEVIATION PRINCIPLES FOR FIRST-ORDER SCALAR CONSERVATION LAWS WITH STOCHASTIC FORCING
11:15-11:35, building B-8, room 2.18
Matthew Griffiths, King’s College London, UK
11:40-12:00, building B-8, room 2.18
Huaizhong Zhao, Loughborough University, UK
12:30-14:15 Lunch
12:30-14:15, restaurant Krakus
14:15-15:45 Invited talks
Chair: Giandomenico Orlandi
14:15-14:55, building B-8, room 0.10a
Stefano Bianchini, SISSA, Italy
15:00-15:40, building B-8, room 0.10a
Yoshikazu Giga, University of Tokyo, Japan
ON THE LARGE TIME BEHAVIOR OF SOLUTIONS TO BIRTH AND SPREAD TYPE EQUATIONS
15:45-16:20 Coffee break
15:45-16:20, restaurant Krakus
16:20-18:10 Parallel sessions
Session D21
Chair: Juan Calvo
16:20-16:40, building B-8, room 0.10a
Graziano Crasta, Sapienza University of Rome, Italy
16:45-17:05, building B-8, room 0.10a
Robin Neumayer, Northwestern University, USA
17:10-17:30, building B-8, room 0.10a
Thomas Schmidt, Universität Hamburg, Germany
OBSTACLE PROBLEMS FOR BV MINIMIZERS, AND WEAK SUPERSOLUTIONS TO THE \(1\)-LAPLACE EQUATION
17:35-17:55, building B-8, room 0.10a
Federico Stra, Ecole Polytechnique Fédérale de Lausanne, Switzerland
Session D22
Chair: Fabio Ancona
16:20-16:40, building B-8, room 0.18
Guillaume Olive, Jagiellonian University in Kraków, Poland
MINIMAL CONTROL TIME FOR ONE-DIMENSIONAL FIRST-ORDER HYPERBOLIC SYSTEMS
16:45-17:05, building B-8, room 0.18
Lionel Rosier, MINES ParisTech, PSL Research University, France
EXACT CONTROLLABILITY OF NONLINEAR HEAT EQUATIONS IN SPACES OF ANALYTIC FUNCTIONS
17:10-17:30, building B-8, room 0.18
Hans Zwart, University of Twente, Netherlands
17:35-17:55, building B-8, room 0.18
Pierre Lissy, CEREMADE, Université Paris-Dauphine, France
LOCAL CONTROLLABILITY TO THE TRAJECTORIES OF THE FOKKER-PLANCK EQUATION WITH A LOCALIZED CONTROL
Session D23
Chair: Johnny Guzmán
16:20-16:40, building B-8, room 3.21
Shingyu Leung, Hong Kong University of Science and Technology, Hong Kong
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS ON MANIFOLDS AND POINT CLOUDS
16:45-17:05, building B-8, room 3.21
Gulcin M. Muslu, Istanbul Technical University, Turkey
THE GENERALIZED FRACTIONAL BENJAMIN-BONA-MAHONY EQUATION: ANALYTICAL AND NUMERICAL RESULTS
17:10-17:30, building B-8, room 3.21
Alexander Ostermann, University of Innsbruck, Austria
LOW-REGULARITY INTEGRATORS FOR NONLINEAR SCHRÖDINGER EQUATIONS
17:35-17:55, building B-8, room 3.21
Katharina Schratz, Heriot-Watt University, UK
Session D24
Chair: Dirk Blömker
16:20-16:40, building B-8, room 2.18
François Delarue, Université Nice-Sophia-Antipolis, France
16:45-17:05, building B-8, room 2.18
Tomasz Klimsiak, Nicolaus Copernicus University in Toruń, Poland
ASYMPTOTICS FOR LOGISTIC-TYPE EQUATIONS WITH DIRICHLET FRACTIONAL LAPLACIAN
17:10-17:30, building B-8, room 2.18
Nicolas Perkowski, Max Planck Institute for Mathematics in the Sciences, Germany
17:35-17:55, building B-8, room 2.18
Erika Hausenblas, Montanuniversität Leoben, Austria
09:00-10:00 Plenary lecture
Chair: Feliks Przytycki
09:00-10:00, building U-2, auditorium
Stanislav Smirnov, University of Geneva, Switzerland & Skoltech, Russia
10:00-10:40 Coffee break
10:00-10:40, restaurant Krakus
10:40-12:30 Parallel sessions
Session D21
Mini-symposium D213 Variational and evolution problems for curves and networks
Chair: Giandomenico Orlandi
10:40-11:10, building B-8, room 0.10a
Giandomenico Orlandi, University of Verona, Italy
ENERGY MINIMIZING MAPS INTO FINSLER MANIFOLDS AND OPTIMAL ONE-DIMENSIONAL NETWORKS
11:15-11:35, building B-8, room 0.10a
Juan Calvo, University of Granada, Spain
11:40-12:00, building B-8, room 0.10a
Giacomo Canevari, University of Verona, Italy
Session D22
Mini-symposium D224 Shape optimization
Chair: Yannick Privat
10:40-11:10, building B-8, room 0.18
Yannick Privat, Université de Strasbourg, France
11:15-11:35, building B-8, room 0.18
Charles Dapogny, Université Grenoble-Alpes, France
SHAPE AND TOPOLOGY OPTIMIZATION VIA A LEVEL-SET BASED MESH EVOLUTION METHOD
11:40-12:00, building B-8, room 0.18
Antoine Laurain, University of São Paulo, Brazil
SHAPE DESIGN FOR SUPERCONDUCTORS GOVERNED BY H(CURL)-ELLIPTIC VARIATIONAL INEQUALITIES
12:05-12:25, building B-8, room 0.18
Dario Mazzoleni, Catholic University of Brescia, Italy
ASYMPTOTIC SPHERICAL SHAPES IN SPECTRAL OPTIMIZATION PROBLEMS
Session D23
Mini-symposium D231 Efficient approximation of high-dimensional problems
Chair: Helmut Harbrecht
10:40-11:10, building B-8, room 3.21
Helmut Harbrecht, University of Basel, Switzerland
ANALYSIS OF TENSOR APPROXIMATION SCHEMES FOR CONTINUOUS FUNCTIONS
11:15-11:35, building B-8, room 3.21
Martin Eigel, WIAS, Germany
11:40-12:00, building B-8, room 3.21
Michael Multerer, USI Lugano, Switzerland
MULTILEVEL QUADRATURE FOR ELLIPTIC PARAMETRIC PARTIAL DIFFERENTIAL EQUATIONS
Session D24
Mini-symposium D243 Mean field S(P)DEs
Chair: Lukasz Szpruch
10:40-11:10, building B-8, room 2.18
Lukasz Szpruch, University of Edinburgh, UK
MEAN-FIELD LANGEVIN DYNAMICS AND ENERGY LANDSCAPE OF NEURAL NETWORKS
11:15-11:35, building B-8, room 2.18
Jean-François Chassagneux, Université Paris Diderot, France
11:40-12:00, building B-8, room 2.18
Jean-François Jabir, National Research University Higher School of Economics, Russia
LAGRANGIAN STOCHASTIC MODELS FOR TURBULENT FLOWS AND RELATED PROBLEMS
12:30-14:15 Lunch
12:30-14:15, restaurant Krakus
14:15-15:45 Invited talks
Chair: Maciej Zworski
14:15-14:55, building B-8, room 0.10a
Sergiu Klainerman, Princeton University, USA
15:00-15:40, building B-8, room 0.10a
András Vasy, Stanford University, USA
GLOBAL ANALYSIS VIA MICROLOCAL TOOLS: FREDHOLM THEORY IN NON-ELLIPTIC SETTINGS
15:45-16:20 Coffee break
15:45-16:20, restaurant Krakus
16:20-18:10 Parallel sessions
Session D21
Chair: Bozhidar Velichkov
16:20-16:40, building B-8, room 0.10a
Sun-Sig Byun, Seoul National University, South Korea
GLOBAL GRADIENT ESTIMATES FOR NONLINEAR ELLIPTIC PROBLEMS WITH NONSTANDARD GROWTH
16:45-17:05, building B-8, room 0.10a
Alpár R. Mészáros, University of California, Los Angeles, USA
SOBOLEV ESTIMATES FOR FIRST ORDER MEAN FIELD GAMES AND PLANNING PROBLEMS
17:10-17:30, building B-8, room 0.10a
Anna Zatorska-Goldstein, University of Warsaw, Poland
RENORMALIZED SOLUTIONS FOR PARABOLIC PROBLEMS WITH ANISOTROPIC STRUCTURE AND NONSTANDARD GROWTH
Session D22
Chair: Marco Fuhrman
16:20-16:50, building B-8, room 0.18
Irena Lasiecka, University of Memphis, USA
GLOBAL SOLUTIONS AND STABILITY FOR A 3-D FLUID-STRUCTURE INTERACTION
16:55-17:15, building B-8, room 0.18
Fabio Ancona, University of Padua, Italy
17:20-17:40, building B-8, room 0.18
Dominika Machowska, University of Łódź, Poland
COMPETITION IN DEFENSIVE AND OFFENSIVE ADVERTISING STARTEGIES IN A SEGMENTED MARKET
Session D23
Chair: Alexander Ostermann
16:20-16:40, building B-8, room 3.21
Thirupathi Gudi, Indian Institute of Science, India
APPROXIMATION OF DIRICHLET BOUNDARY CONTROL PROBLEM USING ENERGY SPACES
16:45-17:05, building B-8, room 3.21
Helge Holden, Norwegian University of Science and Technology, Norway
17:10-17:30, building B-8, room 3.21
Daniel Peterseim, Universität Augsburg, Germany
17:35-17:55, building B-8, room 3.21
Joackim Bernier, Université Paul Sabatier, France
Session D24
Chair: Nicolas Perkowski
16:20-16:40, building B-8, room 2.18
Ajay Chandra, Imperial College London, UK
16:45-17:05, building B-8, room 2.18
Olivier Menoukeu Pamen, University of Liverpool, UK & African Institute for Mathematical Sciences, Ghana
EXISTENCE AND UNIQUENESS OF STRONG SOLUTIONS OF SINGULAR SDES
17:10-17:30, building B-8, room 2.18
Hendrik Weber, University of Bath, UK
17:35-17:55, building B-8, room 2.18
Kristin Kirchner, ETH Zürich, Switzerland
CONVERGENCE OF GALERKIN APPROXIMATIONS FOR FRACTIONAL STOCHASTIC PDES
18:10-19:45 Dinner
18:10-19:45, restaurant Krakus
20:00-22:00 Concert
20:00-22:00, Studio Club
09:00-10:00 Plenary lecture
Chair: Krystyna Kuperberg
09:00-10:00, building U-2, auditorium
Alessio Figalli, ETH Zürich, Switzerland
ON THE REGULARITY OF STABLE SOLUTIONS TO SEMILINEAR ELLIPTIC PDES
10:00-10:40 Coffee break
10:00-10:40, restaurant Krakus
10:40-12:10 Invited talks
Chair: Michał Kowalczyk
10:40-11:20, building B-8, room 0.10a
David Jerison, Massachusetts Institute of Technology, USA
11:25-12:05, building B-8, room 0.10a
Luis Vega, University of the Basque Country & BCAM, Spain
THE VORTEX FILAMENT EQUATION, THE TALBOT EFFECT, AND NON-CIRCULAR JETS
12:15-14:00 Lunch
12:15-14:00, restaurant Krakus
13:30-14:45 Public lecture
Chair: Eduard Feireisl
13:30-14:30, building U-2, auditorium
Alessio Figalli, ETH Zürich, Switzerland
FROM OPTIMAL TRANSPORT TO SOAP BUBBLES AND CLOUDS: A PERSONAL JOURNEY
15:15-20:00 Guided tour
09:00-10:00 Plenary lecture
Chair: Benjamin Weiss
09:00-10:00, building U-2, auditorium
Martin Hairer, Imperial College London, UK
10:00-10:40 Coffee break
10:00-10:40, restaurant Krakus
10:40-12:30 Parallel sessions
Session D21
Mini-symposium D212 Recent advances in geometric approach to elliptic partial differential equations
Chair: Michał Kowalczyk
10:40-11:10, building B-8, room 0.10a
Michał Kowalczyk, University of Chile, Chile
MAXIMAL SOLUTION OF THE LIOUVILLE EQUATION IN DOUBLY CONNECTED DOMAINS
11:15-11:35, building B-8, room 0.10a
Matteo Rizzi, University of Chile, Chile
THE CAHN-HILLIARD EQUATION: EXISTENCE RESULTS AND QUALITATIVE PROPERTIES
Session D22
Mini-symposium D221 Controllability of coupled partial differential equations
Chair: Luz de Teresa
10:40-11:10, building B-8, room 0.18
Luz de Teresa, National Autonomous University of Mexico, Mexico
11:15-11:35, building B-8, room 0.18
Alberto Mercado, Federico Santa María Technical University, Chile & Institut de Mathématiques de Toulouse, France
BOUNDARY CONTROLLABILITY OF A COUPLED FOURTH-SECOND ORDER PARABOLIC SYSTEM
Session D23
Mini-symposium D233 Numerical analysis of nonlocal problems
Chair: Bangti Jin
10:40-11:10, building B-8, room 3.21
Bangti Jin, University College London, UK
11:15-11:35, building B-8, room 3.21
Félix del Teso, BCAM, Spain
A UNIFIED PDE/NUMERICAL FRAMEWORK FOR NONLOCAL AND LOCAL EQUATIONS OF POROUS MEDIUM TYPE
11:40-12:00, building B-8, room 3.21
Yanghong Huang, University of Manchester, UK
SPECTRAL RELATIONS OF THE GENERATOR TO ALPHA-STABLE PROCESSES AND RELATED SPECTRAL METHODS
Session D24
Mini-symposium D241 Rough paths and related topics
Chair: Peter K. Friz
10:40-11:10, building B-8, room 2.18
Peter K. Friz, Technische Universität Berlin & WIAS, Germany
11:15-11:35, building B-8, room 2.18
Paul Gassiat, CEREMADE, Université Paris-Dauphine, France
11:40-12:00, building B-8, room 2.18
Philipp Schoenbauer, Imperial College London, UK
A SUPPORT THEOREM FOR SINGULAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
12:30-14:15 Lunch
12:30-14:15, restaurant Krakus
14:15-15:45 Invited talks
Chair: Anders Szepessy
14:15-14:55, building B-8, room 0.10a
Endre Süli, University of Oxford, UK
IMPLICITLY CONSTITUTED FLUID FLOW MODELS: ANALYSIS AND APPROXIMATION
15:00-15:40, building B-8, room 0.10a
Felix Otto, Max Planck Institute for Mathematics in the Sciences, Germany
15:45-16:20 Coffee break
15:45-16:20, restaurant Krakus
16:20-18:10 Parallel sessions
Session D21
Chair: Sun-Sig Byun
16:20-16:40, building B-8, room 0.10a
Antonio De Rosa, New York University, USA
SOLUTIONS TO TWO CONJECTURES IN BRANCHED TRANSPORT: STABILITY AND REGULARITY OF OPTIMAL PATHS
16:45-17:05, building B-8, room 0.10a
Emanuel Indrei, Purdue University, USA
17:10-17:30, building B-8, room 0.10a
Bozhidar Velichkov, Université Grenoble-Alpes, France
Session D22
Chair: Lionel Rosier
16:20-16:40, building B-8, room 0.18
Akambadath Keerthiyil Nandakumaran, Indian Institute of Science, India
ASYMPTOTIC ANALYSIS OF OPTIMAL CONTROL PROBLEMS IN OSCILLATORY DOMAINS
16:45-17:05, building B-8, room 0.18
Andrzej Nowakowski, University of Łódź, Poland
CONTROL OF BLOWUP AND APPROXIMATE OPTIMALITY CONDITIONS FOR THE WAVE EQUATIONS
17:10-17:30, building B-8, room 0.18
Ionel Roventa, University of Craiova, Romania
17:35-17:55, building B-8, room 0.18
Amjad Tuffaha, American University of Sharjah, United Arab Emirates
ON BOUNDARY CONTROL OF THE POISSON EQUATION WITH THE THIRD BOUNDARY CONDITION
Session D23
Chair: Daniele Boffi
16:20-16:40, building B-8, room 3.21
Patrick Henning, Royal Institute of Technology (KTH), Sweden
THE NUMERICAL SOLUTION OF NONLINEAR SCHRÖDINGER EQUATIONS WITH APPLICATIONS TO SUPERFLUIDITY
16:45-17:05, building B-8, room 3.21
Theodoros Katsaounis, KAUST, Saudi Arabia & University of Crete, Greece
A POSTERIORI ERROR CONTROL AND ADAPTIVITY FOR SCHRÖDINGER EQUATIONS
17:10-17:30, building B-8, room 3.21
Piotr Krzyżanowski, University of Warsaw, Poland
17:35-17:55, building B-8, room 3.21
Christos Xenophontos, University of Cyprus, Cyprus
APPROXIMATION OF FOURTH ORDER TWO-POINT SINGULARLY PERTURBED PROBLEMS OF REACTION-DIFFUSION TYPE
Session D24
Chair: Hendrik Weber
16:20-16:40, building B-8, room 2.18
Dirk Blömker, Universität Augsburg, Germany
16:45-17:05, building B-8, room 2.18
Xue-Mei Li, Imperial College London, UK
17:10-17:30, building B-8, room 2.18
Grigorios Pavliotis, Imperial College London, UK
LONG TIME BEHAVIOUR, PHASE TRANSITIONS AND FLUCTUATIONS FOR THE McKEAN-VLASOV EQUATION
17:35-17:55, building B-8, room 2.18
Antoine Tambue, Western Norway University of Applied Sciences, Norway
19:00-23:00 Conference dinner
19:00-23:00, Studio Club
09:00-10:00 Plenary lecture
Chair: Zsolt Páles
09:00-10:00, building U-2, auditorium
Maciej Zworski, University of California, Berkeley, USA
10:00-10:40 Coffee break
10:00-10:40, restaurant Krakus
10:40-12:30 Parallel sessions
Session D21
Mini-symposium D211 Concentration phenomena under PDE-constraints
Chair: Filip Rindler
10:40-11:10, building B-8, room 0.10a
Filip Rindler, University of Warwick, UK
11:15-11:35, building B-8, room 0.10a
Franz Gmeineder, Universität Bonn, Germany
ON TRACES AND SOME FINE PROPERTIES OF FUNCTIONS OF BOUNDED \(A\)-VARIATION
11:40-12:00, building B-8, room 0.10a
Jonas Hirsch, Universität Leipzig, Germany
DIMENSIONAL ESTIMATES AND RECTIFIABILITY FOR MEASURES SATISFYING LINEAR PDE CONSTRAINTS
Session D22
Mini-symposium D222 Linear and nonlinear problems in control theory
Chair: Thomas Alazard
10:40-11:10, building B-8, room 0.18
Thomas Alazard, École Normale Supérieure Paris-Saclay, France
11:15-11:35, building B-8, room 0.18
Iván Moyano, University of Cambridge, UK
SPECTRAL INEQUALITIES FOR THE SCHRÖDINGER OPERATOR \(-\Delta_x + V(x)\) in \(\mathbb{R}^d\)
Session D23
Mini-symposium D234 Structure preserving discretizations of PDEs
Chair: Michael Neilan
10:40-11:10, building B-8, room 3.21
Michael Neilan, University of Pittsburgh, USA
11:15-11:35, building B-8, room 3.21
Daniele Boffi, University of Pavia, Italy
A FICTITIOUS DOMAIN APPROACH TO FLUID-STRUCTURE INTERACTION PROBLEMS
11:40-12:00, building B-8, room 3.21
Johnny Guzmán, Brown University, USA
Session D24
Mini-symposium D242 Stochastic partial differential equations and applications
Chair: Anders Szepessy
10:40-11:10, building B-8, room 2.18
Anders Szepessy, Royal Institute of Technology (KTH), Sweden
11:15-11:35, building B-8, room 2.18
Stig Larsson, Chalmers University of Technology & University of Gothenburg, Sweden
BACKWARD EULER-MARUYAMA METHOD FOR SDES WITH MULTIVALUED DRIFT COEFFICIENT
11:40-12:00, building B-8, room 2.18
Fabio Nobile, Ecole Polytechnique Fédérale de Lausanne, Switzerland
DYNAMICAL LOW RANK APPROXIMATION OF RANDOM TIME DEPENDENT PDES
12:30-14:15 Lunch
12:30-14:15, restaurant Krakus
14:15-15:45 Invited talks
Chair: Thomas Alazard
14:15-14:55, building B-8, room 0.10a
Enrique Zuazua, DeustoTech, Bilbao, Basque Country & Universidad Autónoma de Madrid, Spain
15:00-15:40, building B-8, room 0.10a
Aleksandr Logunov, Princeton University, USA
15:45-16:20 Coffee break
15:45-16:20, restaurant Krakus
16:20-17:20 Plenary lecture
Chair: Sebastian van Strien
16:20-17:20, building U-2, auditorium
Artur Avila, Universität Zürich, Switzerland & IMPA, Brazil
17:20-17:40 Closing
17:20-17:40, building U-2, auditorium