Lagrangian structures for the Stokes, Navier-Stokes and Euler equations

Details Lagrangian structures for the Stokes, Navier-Stokes and Euler equations Lagrangian structures for the Stokes, Navier-Stokes and Euler equations

2008-11-20

arxiv.org/abs/0811.3286v1

Mathematics

Analysis of PDEs

Scientific paper

We prove that the Navier-Stokes, the Euler and the Stokes equations admit a
Lagrangian structure using the stochastic embedding of Lagrangian systems.
These equations coincide with extremals of an explicit stochastic Lagrangian
functional, i.e. they are stochastic Lagrangian systems in the sense of
[Cresson-Darses, J. Math. Phys. 48, 072703 (2007]

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