TitleAnomalous Dissipation for the forced Navier-Stokes equations
Publication TypeJournal Article
Year of Publication2023
AuthorsBrue' E, De Lellis C
JournalComm. Math. Phys.
Volume400
Start Page1507
Type of ArticleNS
Abstract

In this paper, we consider the forced incompressible Navier-Stokes equations with vanishing viscosity on the three-dimensional torus. We show that there are (classical) solutions for which the dissipation rate of the kinetic energy is bounded away from zero, uniformly in the viscosity parameter, while the body forces are uniformly bounded in some reasonable regularity class.

Notes

Comm. Math. Phys. 400 (2023), no. 3, 1507-1533

URLhttps://link.springer.com/article/10.1007/s00220-022-04626-0
DOI10.1007/s00220-022-04626-0
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