Lagrangian Navier-Stokes diffusions on manifolds: variational principle and stability

Marc Arnaudon; Ana Bela Cruzeiro

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arXiv · 1004.2176

Lagrangian Navier-Stokes diffusions on manifolds: variational principle and stability

Marc Arnaudon·Ana Bela Cruzeiro

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Abstract

We prove a variational principle for stochastic Lagrangian Navier-Stokes trajectories on manifolds. We study the behaviour of such trajectories concerning stability as well as rotation between particles; the two-dimensional torus case is described in detail.

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Marc Arnaudon, Ana Bela Cruzeiro. 2010-04-13. Lagrangian Navier-Stokes diffusions on manifolds: variational principle and stability. https://arxiv.org/abs/1004.2176

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