Lagrangian analyticity in fluid mechanics

Lagrangian analyticity in fluid mechanics

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Matt Hernandez , Princeton University
Fine Hall 110

The incompressible Euler equations imply that the Lagrangian trajectories of individual water particles are automatically analytic in time, as long as the velocity field is slightly better than differentiable in the space variables. We'll discuss some of the mechanisms in different fluid models that allow for this property, and some that break it.