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

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arxiv 2204.07479 v1 pith:IN2F7PNV submitted 2022-04-15 math.AP math.CAmath.FA

Yanqing Wang , Xue Mei , Wei Wei This is my paper · ORCID
classification math.APmath.CAmath.FA
keywords spacesenergyequationsgagliardo-nirenberginequalitynavier-stokesanalogueanisotropic
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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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