Navier stokes equations: A million dollar open problem

Navier Stokes EquationsThe second lecture in the Distinguished Lecture Series organised by the Department of Mathematics at SRM University-AP will be held on November 10, 2021, at 4.30 pm. Prof Amiya Kumar Pani from the Department of Mathematics, IIT Bombay, will elucidate the lecture on the topic “Navier Stokes Equations: A Million Dollar Open Problem”.

On August 8, 1900, David Hilbert delivered his famous lecture about 23 open mathematical problems at the second International Congress of Mathematicians in Paris. This influenced the decision of a recently formed Clay Mathematical Institute (CMI) to announce the seven Millennium Prize Problems in the CMI Millennium Meeting held on May 24, 2000. One such problem is the theme of the present talk. Now it is widely accepted that the motion of an incompressible viscous fluid with moderate velocity is described by the Navier-Stokes Equations. Although these equations were written down in the 19th century, the existing mathematical results are not adequate to unfold the secrets hidden in the Navier-Stokes equations.

In this talk, Prof Amiya shall concentrate on a brief description of this problem, mathematical model, a quick look at history, what is known at this point, some important approaches and what is possibly needed. Finally, he will conclude the talk with a note on the present state of Indian applied mathematics and whether we are ready to contribute towards this millennium problem.

About the Speaker:

Prof Amiya K Pani is Professor at IIT, Bombay. He is well known for his research work in the area of numerical approximations of partial differential equations. His expertise includes construction, stability, and convergence analysis of finite element methods, finite difference schemes, orthogonal spline collocation methods for free boundary problems, partial integrodifferential equations, coupled equations in Oil Reservoir Studies, evolutionary variational inequalities, and scientific computations for industrial applications. Professor Pani is a fellow of the Indian Academy of Sciences and National Academy of Sciences, India. He was awarded the Best Young Mathematician for his outstanding contributions to Numerical Analysis, Partial Differential Equations, and Industrial Mathematics by the Indian Society for Industrial and Applied Mathematics (ISIAM).

Tune in to this intriguing lecture on Navier stokes equations on November 10, 2021, at 4.30 pm.

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