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arXiv · 1904.01527

New results for the Oseen problem with applications to the Navier-Stokes equations in exterior domains

Thomas Eiter·Giovanni P. Galdi
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Abstract

We prove new existence and uniqueness results in full Sobolev spaces for the steady-state Oseen problem in a smooth exterior domain of $\mathbb{R}^n$, $n\ge 2$. These results are then employed, on the one hand, in the study of analogous properties for the corresponding (linear) time-periodic case and, on the other hand and more significantly, to prove analogous properties for their nonlinear counterpart, at least for small data.

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Thomas Eiter, Giovanni P. Galdi. 2019-11-21. New results for the Oseen problem with applications to the Navier-Stokes equations in exterior domains. https://arxiv.org/abs/1904.01527

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