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arXiv · 2110.01248

Hydrostatic limit of the Navier-Stokes-alpha model

Léo Glangetas·Van-Sang Ngo·El Mehdi Said
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Abstract

In this paper we study the hydrostatic limit of the Navier-Stokes-alpha model in a very thin striped domain. We derive some Prandtl-type limit equations for this model and we prove the global well-posedness of the limit system for small initial conditions in an appropriate analytic function space.

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Léo Glangetas, Van-Sang Ngo, El Mehdi Said. 2021-10-04. Hydrostatic limit of the Navier-Stokes-alpha model. https://arxiv.org/abs/2110.01248

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