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arXiv · 1501.00679

Leray-Hopf and Continuity Properties for All Weak Solutions for the 3D~Navier-Stokes Equations

Nataliia V. Gorban·Pavlo O. Kasyanov·Olha V. Khomenko·Luisa Toscano
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Abstract

In this note we prove that each weak solution for the 3D Navier-Stokes system satisfies Leray-Hopf property. Moreover, each weak solution is rightly continuous in the standard phase space $H$ endowed with the strong convergence topology.

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Nataliia V. Gorban, Pavlo O. Kasyanov, Olha V. Khomenko, Luisa Toscano. 2015-01-04. Leray-Hopf and Continuity Properties for All Weak Solutions for the 3D~Navier-Stokes Equations. https://arxiv.org/abs/1501.00679

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