Warsaw Summer School on Evolutionary PDEs
13-18.07.2025

We present a school aimed to promote the topic of evolutionary problems modelled by partial differential equations and gather the young research community in PDEs. Apart from courses, we plan to enhance the visibility of PhD students and early-stage researchers by organizing a special session enabling them to share their results.

• • • Massimiliano Morini (Università degli Studi di Parma, Italy)

  

Level set and variational methods for geometric flows
I will review the classical viscosity level set methods for (generalized) mean curvature flows, the minimising movements variational approximation of level set flows, and, as time permits, I will present some more recent developments regarding the well-posedness of nonlocal and crystalline curvature motions.

• • • Xavier Ros Oton (Universitat de Barcelona, Spain)

  

Stable solutions to nonlinear elliptic PDE
We study stable solutions to nonlinear elliptic PDEs, which are the “observable” steady states of the corresponding evolutionary PDE. As we will see, these solutions turn out to have much nicer properties than general solutions, and in particular, we will study the following: are all stable solutions smooth, or may they have singularities?

• • • Julio Daniel Rossi (Universidad de Buenos Aires, Argentina)

  

Convexity, partial differential equations and game theory
This course aims to explain in a self-contained way the main ideas behind the relation between convexity and partial differential equations (PDE).
We will develop the following material:
1. Introduction to fully nonlinear elliptic and parabolic PDE. Viscosity solutions, comparison arguments.
2. Classical convexity. Convex sets. Convex functions. Regularity results. Lipschitz continuity. Second-order differentiability, Aleksandroff theorem. Different notions of convexity.
3. The convex envelope of a boundary datum inside a domain. Characterization as a solution to the Dirichlet problem for a PDE. C^1-regularity.
4. A brief introduction to game theory and PDEs. A game for the convex envelope of a boundary datum.

We begin our school with registration at 8:30 AM on July 14th, in Lecture Room 4420 on the 4th floor.

• Ahmed Abdali, King Abdullah University of Science and Technology
• Yousef Alamri, King Abdullah University of Science and Technology
• Vendash Arya, University of Jyväskylä
• Mohamed Atmani, Mohammed V University
• Sabri Bahrouni, University of Warsaw
• Michał Borowski, University of Warsaw
• Ting-Wei Chen, University of California, Berkeley
• Valerio Corica, Sapienza University of Rome
• Giacomo Cristinelli, University of Twente
• Mariem Dhifet, University of Monastir
• Kamil Dunst, Nicolaus Copernicus University
• Michał Fabisiak, University of Warsaw
• Guillermo García-Sáez, University of Castilla La-Mancha
• Gabriele Giannone, Università di Firenze
• Lorenzo Giaretto, Università di Torino
• Saibal Khan, University of Warsaw
• Junyoung Heo, KAIST
• Yongjun Hou, Technion – Israel Institute of Technology
• Francisco Javier Larcada-Sánchez, Universidad Complutense de Madrid
• Yubin Lee, KAIST
• Daowen Lin, Okinawa Institute of Science and Technology
• Agata Lonc, University of Warsaw
• Filone Gilson Longmou Moffo, African Institute for Mathematical Science
• Paolo Malanchini, University of Milano-Bicocca
• Dragoș Manea, Simion Stoilow Mathematical Institute of the Romanian Academy
• Alejandro Martínez Sánchez, University of Barcelona
• Giuseppe Virgilio Minissale, Scuola Normale Superiore
• Marwa Missaoui, University of Monastir
• Michał Miśkiewicz, University of Warsaw
• Andrei Mohuț, Politehnica University of Timisoara
• Joaquin Oyarzun, University of Pavia
• Joan Domingo Pasarin, University of Barcelona
• Emiliano Peña Ayala, Uppsala University
• Oussama Sebbar, Mohammed V University
• Jonas Stange, University of Regensburg
• David Stolnicki, University of Warsaw
• Patryk Tokarczuk, University of Warsaw
• Wiktor Wichrowski, University of Warsaw
• Łukasz Wodnicki, University of Warsaw
• Pushpendra Vijayshankar Tailor, University of Kaiserslautern-Landau
• Johanna Tengler, University of Twente
• Gayrat Toshpulatov, University of Münster

The school will take place on 13th of July 2025 – 18th of July 2025 in Warsaw, at the Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha 2, room 4420.

If you would like to participate in the school, please use the registration form.

School fee 600 PLN (~140EUR) will cover accommodation (for non-locals), lunches, and a conference dinner.

The deadline for registration is: June 6, 2025.

The deadline for paying the school fee: June 9, 2025.

For any payment or registration-related inquiries, please contact evolutionarypdes2025@mimuw.edu.pl

We will aim to provide accommodation to registered participants, subject to availability (on a first-come first-served basis).

Owner: Uniwersytet Warszawski
Address: Krakowskie Przedmieście 26/28, 00-927 Warsaw, Poland

IBAN: PL67116022020000000060849250
SWIFT/BIC code: BIGBPLPWXXX
Bank: Bank Millennium S.A.

Transfer Title: Name Surname “Summer School Evolutionary PDEs”

Please ensure that the transfer title includes your full name and the school name to facilitate payment processing. Payment must be made in Polish Zloty (PLN).

In recent months, some of our invitees have reported receiving emails from entities posing as travel agencies or assistants. These emails request your travel dates, offer to arrange accommodations, and then ask for your credit card details. Please be aware that we have no affiliation with these organizations and do not collaborate with them in any capacity.