Clay Prize Navier-Stokes equation This is an equation which describes the motion of an incompressible fluid and is given by 1. ∂∂t ui + j=13uj∂ui∂xj = ν Δ ui – ∂p∂xi + fi (x,t) x R3, t ≥ 0, 1 ≤ i ≤ 3 2. div u = j=13∂uj∂xj = 0 x R 3 t

Birch and Swinnerton Dyer Conjecture Birch Swinnerton-Dyer conjecture This is a conjecture regarding the number of rational points in elliptic curves i.e. curves in two-dimensional plane with the equation y2 = x3 + a x + b for some whole numbers a,b. In the early 1960’s, the British mathematicians Brian Birch and Peter Swinnerton-Dyer started to use computers

Clay Prize The Millennium Problems Recently Prof. Malay Dutta (Department of Computer Science and Engineering, Tezpur University) gave a talk on the Millennium Problems in mathematics. We present to you a series of 8 articles written by Prof. Dutta where he speaks about the problems in detail. This is the introductory post and will be