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Mathematics > Analysis of PDEs

arXiv:2207.06301 (math)
[Submitted on 13 Jul 2022]

Title:Anomalous dissipation for the forced 3D Navier-Stokes equations

Authors:Elia Bruè, Camillo De Lellis
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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.
Subjects: Analysis of PDEs (math.AP)
Cite as: arXiv:2207.06301 [math.AP]
  (or arXiv:2207.06301v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.2207.06301
Related DOI: https://doi.org/10.1007/s00220-022-04626-0

Submission history

From: Elia Bruè [view email]
[v1] Wed, 13 Jul 2022 15:52:21 UTC (24 KB)
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