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Duality, vector advection and the Navier-Stokes equations
Research output: Contribution to journal › Article › peer-review
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Publication details
| Journal | Dynamics of Partial Differential Equations |
|---|---|
| Date | Published - 1 Mar 2009 |
| Issue number | 1 |
| Volume | 6 |
| Number of pages | 41 |
| Pages (from-to) | 53-93 |
| Original language | English |
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 Navier-Stokes equation. Also we deduce Feynman-Kac 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 Navier-Stokes equation. Also we deduce Feynman-Kac 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.
- Fluid Dynamics, , Stochastic Analysis, Navier-Stokes equations, , Feynman Kac formula, , vector advection.
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Some questions related to invariant measures for stochastic Navier Stokes equations
Project: Research project (funded) › Research
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