Nonlinear Partial Differential Equations

Date: April 16, 2024

Time: 3:00PM - 4:00PM

Location: BLOC 302

Speaker: Aseel Farhat, Florida State University

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

Abstract: In this presentation, we will address into 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.