Symmetries and martingales in a stochastic model for the Navier-Stokes equation
Authors: Ana Bela Cruzeiro, Rémi Lassalle
Abstract: A stochastic description of solutions of the Navier-Stokes equation is investigated. These solutions are represented by laws of finite dimensional semi-martingales and characterized by a weak Euler- Lagrange condition. A least action principle, related to the relative entropy, is provided. Within this stochastic framework, by assuming further symmetries, the corresponding invariances are expressed by martingales, stemming from a weak Noether's theorem.
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