Ouassim Feliachi

Ouassim Feliachi

From particles to fluids: hydrodynamic limit and fluctuations


9 juin 2023    
15h30 - 16h30

Salle du Conseil, Espace Turing
45 rue des Saints-Pères, Paris, 75006

Type d’évènement

In this talk, I will review some ideas and tools that allow to bridge from a particle system described through equations of motion (e.g. Newton’s 2nd law), to a fluid description ruled by a hydrodynamic partial differential equation (e.g. the Navier-Stokes equations) through the lens of large deviation theory. From the point of view of a physicist, I will explain why in some contexts we should take into account finite particle-number effects in this process and how to do so. To illustrate these principles, I will focus on the specific case of a gas composed of active particles. If time allows, I will also address the limitations of this approach when the hydrodynamic limit leads to a scalar conservation law partial differential equation (PDE).

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