Abstract
For weak solutions to the three-dimensional Navier-Stokes equations the interior regularity problem for the renormalized velocity $u(1+|u|^2)^{-\alpha/2}$ and pressure $p(1+|u|^2)^{-\beta/2}$ is investigated. If a velocity component is locally semibounded and $\nabla u$ slightly more regular than suitable weak solutions the regularity estimates for the renormalized velocity are improved. Furthermore, estimates for the negative part of a renormalized pressure are presented.
Citation
Jens Frehse. Maria Specovius-Neugebauer. "Renormalized estimates for solutions to the Navier-Stokes equation." Funct. Approx. Comment. Math. 40 (1) 11 - 32, March 2009. https://doi.org/10.7169/facm/1238418795
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