Speaker : Dr. Anuj Kumar

Title of the Talk : Impact of rotation on the dimension of the global attractor for two-dimensional rotating Navier-Stokes equations.

Date, Time and Venue: 10 July 2025, 11:00 AM to 12:00 PM at Seminar Hall, Dept. of Mathematics

Abstract: Rotation and friction in fluid motion play a significant role in various natural phenomena, such as jet streams, zonal jets, cyclones, and Jupiter's Great Red Spot, among others. In this talk, we present a new upper bound on the Hausdorff dimension of the global attractor for the incompressible two-dimensional rotating Navier-Stokes equations. This bound depends on the rotation rate, which is quantified by the Rossby number, and improves upon previous results, which indicate that faster rotation leads to a more zonal (i.e., one-dimensional) flow.

About the Speaker: Dr. Anuj Kumar obtained his Ph.D. degree in Mathematics from Indiana University Bloomington, USA (2022). After his Ph.D., he worked as a Postdoctoral researcher in the Department of Mathematics at Florida State University (2022-2024). His primary research area is the analysis of partial differential equations (PDEs), focusing on hydrodynamic and geophysical models.