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Invariant measures for the 2D averaged-Euler equations

GFM seminar
Dep. Matemática FCUL, sala 6.2.33
2015-12-16 15:00 .. 16:00
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by Alexandra Symeonides (GFMUL, FCUL)

We define a Gaussian invariant measure for the two-dimensional averaged- Euler equation and show the existence of the solution defined for initial conditions on its support. An invariant surface measure on the level sets of the energy is also constructed, as well as the corresponding flow. Uniqueness holds.