Impact of Rotation on the Regularity and Behavior of Navier-Stokes Solutions

When

April 26, 2024 | 2:30 p.m. – 3:30 p.m.
Refreshments provided

Where

University Hall 4002

Speaker

Aseel Farhat

Abstract

In this presentation, we will address the regularity challenges posed by the three-dimensional (3D) Navier-Stokes equations (NSE) and explore the influence of planetary rotation. Additionally, we will discuss an upper bound on the Hausdorff dimension of the global attractor associated with the 2D Navier-Stokes equations on the beta-plane, which depends on the rotation rate (referred to as the Rossby number). Our findings align with outcomes observed in numerical experiments, suggesting that rotation tends to induce a more zonal solution.