Lagrangian Structures for the Stokes, Navier-stokes and Euler Equations
نویسندگان
چکیده
— 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 [6].
منابع مشابه
N ov 2 00 8 LAGRANGIAN STRUCTURES FOR THE STOKES , NAVIER - STOKES AND EULER EQUATIONS by Jacky Cresson & Sébastien Darses
— 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 [6].
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