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Séminaire de EDP - Physique Mathématique

Investigation of potential Type I singularities of the Navier-Stokes equations

Tobias Barker

( ENS )

Salle de Conférences

le 11 juin 2019 à 11:30

In the nineteenth century Claude-Louis Navier and George Gabriel Stokes proposed the Navier-Stokes as a model for viscous incompressible fluids such as water. Despite the fact that the Navier-Stokes equations are used today in applications, it is still unknown. The question as to whether or not the equations form singularities (which would correspond to points where the speed of the fluid increases indefinitely) is a Millennium prize problem with a reward of 1 million dollars. In this talk, we'll first look at some of the mathematical theory around the Navier-Stokes equations before discussing a potential pathway to obtaining singularities. This is a joint work with Dallas Albritton (University of Minnesota).