From non-local to local Navier-Stokes equations

Resumen: 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.

Date: Mar 18, 2024 at 16:15:00 h
Venue: Sala de seminarios del DIM piso 5, Torre Norte, Beauchef 851
Speaker: Oscar Jarrín
Affiliation: Universidad de las Américas de Ecuador
Coordinator: Gabrielle Nornberg
More info at:
Event website
Abstract:
PDF

Posted on Mar 18, 2024 in Differential Equations, Seminars