Euler equations can be studied as an evolution of volume preserving diffeomorphisms. Brownian motion on infinite dimensional Lie groups of diffeomorphisms has been previously studied. This paper approaches a stochastic version of Euler equations as a stochastic evolution in the group of volume preserving diffeomorphisms.

Brownian motion on volume preserving diffeomorphisms group and existence of global solutions of 2D stochastic Euler equation

Flandoli, Franco;
2007

Abstract

Euler equations can be studied as an evolution of volume preserving diffeomorphisms. Brownian motion on infinite dimensional Lie groups of diffeomorphisms has been previously studied. This paper approaches a stochastic version of Euler equations as a stochastic evolution in the group of volume preserving diffeomorphisms.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11384/69127
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