Estimates of anisotropic Sobolev spaces with mixed norms for the Stokes system in a half-space

Tongkeun Chang; Kyungkeun Kang

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arXiv · 1308.1457

Estimates of anisotropic Sobolev spaces with mixed norms for the Stokes system in a half-space

Tongkeun Chang·Kyungkeun Kang

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Abstract

We are concerned with the non-stationary Stokes system with non-homogeneous external force and non-zero initial data in ${\mathbb R}^n_+ \times (0,T)$. We obtain new estimates of solutions including pressure in terms of mixed anisotropic Sobolev spaces. As an application, some anisotropic Sobolev estimates are presented for weak solutions of the Navier-Stokes equations in a half-space in dimension three.

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Tongkeun Chang, Kyungkeun Kang. 2013-08-07. Estimates of anisotropic Sobolev spaces with mixed norms for the Stokes system in a half-space. https://arxiv.org/abs/1308.1457

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