Projects per year
Abstract
In this article we show that three dimensional vector advection equation is
self dual in certain sense defined below. As a consequence, we infer classical result of Serrin of existence of strong solution of NavierStokes equation. Also we deduce FeynmanKac type formula for solution of the vector advection equation and show that the formula is not unique i.e. there exist flows which differ from standard flow along which vorticity is conserved.
self dual in certain sense defined below. As a consequence, we infer classical result of Serrin of existence of strong solution of NavierStokes equation. Also we deduce FeynmanKac type formula for solution of the vector advection equation and show that the formula is not unique i.e. there exist flows which differ from standard flow along which vorticity is conserved.
Original language  English 

Pages (fromto)  5393 
Number of pages  41 
Journal  Dynamics of Partial Differential Equations 
Volume  6 
Issue number  1 
Publication status  Published  1 Mar 2009 
Keywords
 Fluid Dynamics,
 Stochastic Analysis
 NavierStokes equations,
 Feynman Kac formula,
 vector advection.
Projects
 1 Finished

Some questions related to invariant measures for stochastic Navier Stokes equations
29/11/06 → 28/04/09
Project: Research project (funded) › Research