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arXiv · 2204.07479

Gagliardo-Nirenberg inequality in anisotropic Lebesgue spaces and energy equality in the Navier-Stokes equations

Yanqing Wang·Xue Mei·Wei Wei
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Abstract

In this paper, it is shown that an analogue in mixed norm spaces of Gagliardo-Nirenberg inequality is valid. As an application, some new criteria for energy conservation of Leray-Hopf weak solutions to the 3D Navier-Stokes equations are established in these spaces, which extend the corresponding known results.

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Yanqing Wang, Xue Mei, Wei Wei. 2022-04-15. Gagliardo-Nirenberg inequality in anisotropic Lebesgue spaces and energy equality in the Navier-Stokes equations. https://arxiv.org/abs/2204.07479

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