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arXiv · 1806.02516

On Caccioppoli's inequalities of Stokes equations and Navier-Stokes equations near boundary

Tongkeun Chang·Kyungkeun Kang
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Abstract

We study Caccioppoli's inequalities of the non-stationary Stokes equations and Navier-Stokes equations. Our analysis is local near boundary and we prove that, in contrast to the interior case, the Caccioppoli's inequalities of the Stokes equations and the Navier-Stokes equations, in general, fail near boundary.

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Tongkeun Chang, Kyungkeun Kang. 2018-06-07. On Caccioppoli's inequalities of Stokes equations and Navier-Stokes equations near boundary. https://arxiv.org/abs/1806.02516

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