Stochastic variational derivations of the Navier-Stokes equation |
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| Authors: | T. Nakagomi K. Yasue J. -C. Zambrini |
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| Affiliation: | (1) Department of Physics, Faculty of Science, Kyoto University, 606 Kyoto, Japan;(2) Département de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland |
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| Abstract: | Stochastic calculus of variations in terms of sample paths is shown to be equivalent to ordinary calculus of variations in terms of local drift fields when applied to Markov processes. This equivalence enables us to derive the Navier-Stokes equation directly through a variational principle. Partially supported by the Swiss National Science Foundation. |
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