On Right Continuity in $(L^2)^3$ at All the Points of Energy-regularized Solutions for the 3D Navier-Stokes Equations
Analysis of PDEs
2024-07-15 v3
Abstract
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 endowed with the strong convergence topology.
Keywords
Cite
@article{arxiv.2301.05754,
title = {On Right Continuity in $(L^2)^3$ at All the Points of Energy-regularized Solutions for the 3D Navier-Stokes Equations},
author = {Pavlo O. Kasyanov},
journal= {arXiv preprint arXiv:2301.05754},
year = {2024}
}
Comments
Formula (2.6) is incorrect