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.
Link zoom:
https://uchile.zoom.us/j/96642349167?pwd=MkRVbWxzOFBUUXlCTWFicW0reWZ6dz09