Prof. Isabelle Gallagher

Isabelle Gallagher is Professor of Mathematics at Paris-Diderot University and at the Ecole Normale Suprieure of Paris. Her principal theme of research concerns the mathematical anal- ysis of Partial Differential Equations related to Fluid Mechanics, through two different points of views: their derivation, and their resolution.

From the derivation point of view, she is interested in the passage from the microscopic description of fluids to their macroscopic description. More precisely, following Hilbert’s sixth problem, the question is to understand how to reconcile Newton’s laws for classical particles constituting the fluid and macroscopic PDEs such as the Euler or Navier-Stokes equations. This has been in particular the subject of joint efforts with Thierry Bodineau and Laure Saint-Raymond in the past few years.

From the resolution point of view, she is mostly interested in understanding the behaviour of smooth solutions to the Navier-Stokes equations, associated with smooth initial data in three space dimensions: solving globally those equations for general initial data is a long- standing open question, and together with a number of collaborators she has been trying to understand the behaviour of solutions, whether near blow up time (supposing such solutions exist) or in large times.

She was an invited speaker at ICM 2014 and ECM 2012, and the recipient of the CNRS Silver Medal in 2016.

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