Conference: The Cahn-Hilliard equation - recent advances and new challenges
Chęciny, 21-26 of April 2024


The Cahn-Hilliard equation, originally developed in the field of materials science, finds nowadays applications in both physics and biology. In physics, this PDE is used to model the phase separation phenomena, such as the formation of patterns in binary mixtures. In biology, the Cahn-Hilliard equation has been applied to study various phenomena, including cell-cell adhesion, tumour growth, and pattern formation in biological tissues. The Cahn-Hilliard equation is also a source of interesting problems for mathematicians. Its analysis presents several intricate mathematical challenges that intrigue researchers across mathematical and numerical analysis. One major issue lies in establishing the well-posedness of solutions, as the equation’s degeneracy and fourth-order nature imply a lack of maximum principle. The degeneracy in the fourth-order term is also a source of difficulties for numerical simulations. In recent years, these challenges have spurred the exploration of advanced mathematical tools, such as the application of de Giorgi’s method to prove so-called separation property, analysis of the nonlocal approximations to demonstrate the validity of singular limits (for instance, the high-friction limit) or the concept of varifold solutions to study sharp-interface limit and establish connection with the Hele-Shaw flow.


The week-long conference on “The Cahn-Hilliard equation – recent advances and new challenges” is planned to take place from the 21st to 26th April 2024 at the European Centre for Geological Education in Chęciny, Poland. The Centre is beautifully located in the Holy Cross Mountains (Góry Świętokrzyskie) in southern Poland. For regular participants we offer accommodation in rooms (two participants per room). The conference fee is expected to be 300 EUR and will cover accommodation, meals, and transportation between Warsaw and Chęciny.

Confirmed speakers

  • Nilasis Chaudhuri, University of Warsaw
  • Antonio Esposito, University of Oxford
  • Charles Elbar, Sorbonne University
  • Carles Falco I Gandia, University of Oxford
  • Alejandro Fernandez-Jimenez, University of Oxford
  • Julian Fischer, Institute of Science and Technology Austria
  • Ciprian G. Gal, Florida International University
  • Maurizio Grasselli, Polytechnic University of Milan
  • Piotr Gwiazda, Polish Academy of Sciences
  • Sebastian Hensel, University of Bonn
  • Alain Miranville, University of Poitiers
  • Hanjie Ji, North Carolina State University
  • Andrea Poiatti, University of Vienna
  • Jakub Skrzeczkowski, University of Oxford & University of Warsaw
  • Lara Trussardi, University of Graz
  • Jakub Woźnicki, University of Warsaw


We provide a bus to take you from Warsaw to Chęciny on Sunday, April 21st. We plan to arrange the bus to wait for you at 17:00 (5 pm) at the car park in front of the Faculty of Geology of the University of Warsaw. Here is the precise link: The meeting point is very close to the Chopin Airport which is the main airport of Warsaw. You can reach the meeting point using public transport from the airport, which is busses 175 and 188 (the ticket costs 4.4 PLN = around 1 EUR). There will be also a bus on Friday, April 26th to take you back from Chęciny to Warsaw. The bus will return to the meeting point with an additional stop at Chopin Airport. We expect the return bus to arrive in Warsaw around 13:00.


  • Giulia Cavalleri, University of Pavia
  • Matteo Fornoni, University of Pavia
  • Katarzyna Kulczycka-Mierzejewska, University of Warsaw
  • Kalina Nec, University of Warsaw
  • Akash Parmar, University of Warsaw
  • Juliusz Pham, University of Warsaw
  • Jonas Stange, University of Regensburg
  • Zuzanna Szymańska, University of Warsaw
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