Lagrangian Navier-Stokes diffusions on manifolds: variational principle and stability
classification
🧮 math.PR
keywords
lagrangianmanifoldsnavier-stokesprinciplestabilitytrajectoriesvariationalbehaviour
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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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