Monday, March 18th at 16:15 hs (Santiago time) in the Sala de Seminario (fifth floor), Beauchef 851.

Speaker: Oscar Jarrín

Title: From non-local to local Navier-Stokes equations

Abstract: Inspired by some experimental (numerical) works on fractional diffusion PDEs, we develop a rigorous framework to prove that solutions to the fractional Navier-Stokes equations, which involve the fractional Laplacian operator, converge to a solution of the classical case. Precisely, in the setting of mild solutions, we prove uniform convergence in both the time and spatial variables and derive a precise convergence rate, revealing some phenomenological effects.

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