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

Analysis of PDEs 2023-01-13 v3

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 HH endowed with the strong convergence topology.

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Cite

@article{arxiv.1501.00679,
  title  = {Leray-Hopf and Continuity Properties for All Weak Solutions for the 3D~Navier-Stokes Equations},
  author = {Nataliia V. Gorban and Pavlo O. Kasyanov and Olha V. Khomenko and Luisa Toscano},
  journal= {arXiv preprint arXiv:1501.00679},
  year   = {2023}
}

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