Scope of the conference
The aim of the conference PDEs under pressure and applications in life science is to bring together experts and enthusiasts on PDEs modelling pressure effects in sciences - and especially in living systems. While pressure refers primarily to mechanical pressure, whose impact is crucial for example in cell and developmental biology, it has to be understood here in a wider sense, including ecological or evolutionary pressure, social or psychological pressure, etc. Topics include degenerate or nonlinear diffusion, cross-diffusion, fluid-mechanical PDEs, kinetic theory, nonlocal and aggregation models, and stochastic approaches. A particular focus will be given to the analysis of congestion models, which arise, for example, in granular media, crowds, cell and developmental biology, ecological populations, and swarm behavior. Talks will combine theoretical analysis, modeling, and interdisciplinary applications. We expect the participation of a vast audience, including early career researchers.
This conference is part of the CIMI thematic semester Interacting particles, PDEs and applications (IMT, spring-autumn 2026) including the MINT summer school and the conference Particle systems and PDEs XIV.
Content of the conference
The conference will be centered around three mini-courses, talks and a poster session by the participants.
The courses will be dispensed by:
-
Bertrand Maury (University Paris-Sud)
-
Sophie Hecht (Sorbonne University)
- TBA
The talks will be dispensed by:
-
Laurent Desvillettes (Université Paris Cité)
-
Maxime Estavoyer (Aix-Marseille Université)
-
Amic Frouvelle (Université Paris Dauphine)
-
Thierry Goudon (INRIA Sophia Antipolis)
-
Anastasiia Hraivoronska (Université Claude Bernard – Lyon 1 )
-
Noureddine Igbida (Université de Limoges)
-
Nadia Loy (Politecnico di Torino)
-
Kevin Painter (Politecnico di Torino)
-
Stefen Plunder (Kyoto University)
-
Anaïs Rat (Université de Bretagne Occidentale)
-
Cinzia Soresina (Università di Trento)
-
Marie-Thérèse Wolfram (University of Warwick)
- more to come...
Registration
Registration is free but mandatory for organisational puprposes. Please fill the registration form by August 31th (notification before September 15th). A few students and early carreer researchers may ask for financial support (accomodation), they will need to fill a separate dedicated form by July 1st (notification by July 31th).
Organisation
The organising committee is composed of:
- Marina Ferreira (CNRS and Université de Toulouse)
- Pierre Gervais (Université de Toulouse)
-
Michèle Romanos (CNRS and Université de Lyon)
- Ariane Trescases (CNRS and Université de Toulouse)
Coordinators of the semester: Marina Ferreira, Francis Filbet, Pierre Gervais and Ariane Trescases
This conference is organised thanks to the support of the International Center of Mathematics and Computer Science in Toulouse (CIMI), Institut de Mathématiques de Toulouse, Institut Camille Jordan and the PEPR grant PREMMOVE.
