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arXiv · 1904.04438

On the hydrostatic approximation of the Navier-Stokes equations in a thin strip

M. Paicu·P. Zhang·Z. Zhang
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Abstract

In this paper, we first prove the global well-posedness of a scaled anisotropic Navier-Stokes system and the hydrostatic Navier-Stokes system in a 2-D striped domain with small analytic data in the tangential variable. Then we justify the limit from the anisotropic Navier-Stokes system to the hydrostatic Navier-Stokes system with analytic data.

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M. Paicu, P. Zhang, Z. Zhang. 2019-04-09. On the hydrostatic approximation of the Navier-Stokes equations in a thin strip. https://arxiv.org/abs/1904.04438

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