An Exact Mapping from Navier-Stokes Equation to Schrodinger Equation via Riccati Equation

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Abstract Submitted for the MAR10 Meeting of The American Physical Society

An Exact Mapping from Navier-Stokes Equation to Schr¨ odinger Equation via Riccati Equation VIC CHRISTIANTO, FLORENTIN SMARANDACHE, University of New Mexico, Gallup Campus — In the present article we argue that it is possible to write down Schr¨ odinger representation of Navier-Stokes equation via Riccati equation. The proposed approach, while differs appreciably from other method such as what is proposed by R. M. Kiehn, has an advantage, i.e. it enables us extend further to quaternionic and biquaternionic version of NavierStokes equation, for instance via Kravchenko’s and Gibbon’s route. Further observation is of course recommended in order to refute or verify this proposition.

Florentin Smarandache University of New Mexico, Gallup Campus Date submitted: 08 Sep 2009

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