Global well-posedness of the two-dimensional horizontally filtered simplified Bardina turbulence model on a strip-like region

Luca Bisconti; Davide Catania

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arXiv · 1512.05889

Global well-posedness of the two-dimensional horizontally filtered simplified Bardina turbulence model on a strip-like region

Luca Bisconti·Davide Catania

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Abstract

We consider the 2D simplified Bardina turbulence model, with horizontal filtering, in an unbounded strip-like domain. We prove global existence and uniqueness of weak solutions in a suitable class of anisotropic weighted Sobolev spaces.

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Luca Bisconti, Davide Catania. 2015-12-18. Global well-posedness of the two-dimensional horizontally filtered simplified Bardina turbulence model on a strip-like region. https://arxiv.org/abs/1512.05889

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