Partial Differential Equations in interaction

This project focuses on the mathematical understanding of complex multiphysical systems involving interactions between fluid flows and structure movements, for instance blood flowing through an artery or wind pushing the blades of a wind turbine.

These systems are often described using strongly coupled nonlinear partial differential equations. Emphasis will be placed on instability phenomena that result from these interactions, and on the emergence of collective behaviours.

Examples of systems that the researchers will study include
  • suspensions of rigid particles settling in a viscous fluid, in which the particles interact through the flows they generate;
  • quantum vortices in superconductors and superfluids, which behave like point particles and interact through the underlying supercurrent or superfluid flow;
  • a partially articulated plate completely immersed in a flow, in which the plate’s vibrations affect the flow of fluid which, in turn, exerts force on the plate;
  • the thermalization of a testing particle in a fluid or plasma due to the feedback between background particles and the local disturbance caused by the testing particle.
These systems have common conceptual difficulties, and one of the project’s goals is to build bridges by taking advantage of the complementarity of its participants.

Illustration: premier document de tourbillons par Leonardo da Vinci

Coordination: Denis Bonheure, Département de mathématique, Faculté des Sciences
Partners : Antoine Gloria, Bruno Premoselli, Mitia Duerinckx, Céline Grandmont 

Created on September 3, 2020