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Bibliographic Details
Main Author: Kasyanov, Pavlo O.
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2301.05754
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Table of Contents:
  • In this note I provide the notion of energy-regularized solutions (ER-solutions) of the 3D Navier-Stokes equations. These solutions can be obtained via the standard Galerkin arguments. I prove that each ER-solution for the 3D Navier-Stokes system satisfies Leray-Hopf property. Moreover, each ER-solution is rightly continuous in the standard phase space $H$ endowed with the strong convergence topology.