| Abstract: |
| I will discuss recent progress on the vanishing-viscosity limit from the two-dimensional Navier-Stokes equations to the Euler equations. Our approach is both Lagrangian and probabilistic. First, we develop a stochastic analogue of the DiPerna-Lions theory to construct and control stochastic Lagrangian flows associated with the viscous dynamics. Second, we establish a large-deviation principle that quantifies the convergence to the Euler dynamics. |
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