Dear All,

The Department of Physics and Vachani School of Advanced Computing invites you to a colloquium by Dr. Nishant K Singh on On Navier-Stokes equations and its solution from OpenAI

Zoom Link: https://zoom.us/j/95285826928?pwd=NNbor4PggQSTZpE4uRXUT4Fc72iu1d.1

Abstract: Navier-Stokes equations (NSE) govern the dynamics of naturally occurring flows on Earth and other astrophysical bodies. Apart from their appeal in natural sciences and engineering, NSE have also been a subject of deep interest to pure mathematics. Whether or not the equation develops a singularity in finite time has been one of the most challenging problems. In this talk, we will discuss the OpenAI's solution to the forced NSE where an initially smooth flow at rest develops a singularity in finite time. One example of an exact solution of NSE will also be discussed.

About the Speaker: Dr. Nishant K Singh is an Associate Professor at the Inter-University Centre for Astronomy and Astrophysics (Pune, India). He works in the area of astrophysical fluid  dynamics, focussing currently on solar physics and turbulent dynamos. Using helioseismology he has demonstrated that the strengthening of the solar surface gravity mode precedes the emergence of sunspots. Since sunspots are the foot-points of flares and coronal mass ejections causing disturbances in the interplanetary medium, this work suggests that the solar surface gravity mode could be a precursor to predict space weather. His research on the mechanism of sunspot formation challenges the standard paradigm, while he continues to work on the origins of solar magnetism. Solar convection is another area of interest, especially in light of recent observations indicating problems with the standard mixing-length theory of convection. 

We look forward to your active participation.