Hausdorff dimension of the level sets of some stochastic PDEs from fluid dynamics

Lorenzo Baglioni; Marco Romito

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arXiv · 1308.4183

Hausdorff dimension of the level sets of some stochastic PDEs from fluid dynamics

Lorenzo Baglioni·Marco Romito

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Abstract

We determine with positive probability the Hausdorff dimension of the level sets of a class of Navier-Stokes \alpha-models at finite viscosity, forced by mildly rough Gaussian white noise.

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Lorenzo Baglioni, Marco Romito. 2013-08-19. Hausdorff dimension of the level sets of some stochastic PDEs from fluid dynamics. https://arxiv.org/abs/1308.4183

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