Stochastic Least-Action Principle for the Incompressible Navier-Stokes Equation

@inproceedings{Eyink2008StochasticLP,
  title={Stochastic Least-Action Principle for the Incompressible Navier-Stokes Equation},
  author={Gregory L. Eyink},
  booktitle={ISPD 2010},
  year={2008}
}
  • Gregory L. Eyink
  • Published in ISPD 2008
  • Mathematics, Physics
  • We formulate a stochastic least-action principle for solutions of the incompressible Navier-Stokes equation, which formally reduces to Hamilton's principle for the incompressible Euler solutions in the case of zero viscosity. We use this principle to give a new derivation of a stochastic Kelvin Theorem for the Navier-Stokes equation, recently established by Constantin and Iyer, which shows that this stochastic conservation law arises from particle-relabelling symmetry of the action. We discuss… CONTINUE READING

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