Professor Kumbakonam Rajagopal

Mechanical Engineering

Texas A & M University

 

The Navier-Stokes Equations and Beyond-According Stokes

 

Stokes has made important contributions to several aspects of mathematical physics.  In his seminal paper in 1845, Stokes in addition to deriving the equations which bear the name Navier-Stokes Equations, suggested generalizations that have not been studied with the detail that they deserve.  He also had a lot to say about the nature of boundary conditions between two continua. This early work of Stokes has profound implications in the developments of constitutive theories for both constrained and unconstrained continua.  These issues will be discussed.