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- W4288364098 abstract "We consider here the Navier-Stokes equations in $mathbb{R}^{3}$ with a stationary, divergence-free external force and with an additional damping term that depends on two parameters. We first study the well-posedness of weak solutions for these equations and then, for a particular set of the damping parameters, we will obtain an upper and lower control for the energy dissipation rate $varepsilon$ according to the Kolmogorov K41 theory. However, although the behavior of weak solutions corresponds to the K41 theory, we will show that in some specific cases the damping term introduced in the Navier-Stokes equations could annihilate the turbulence even though the Grashof number (which are equivalent to the Reynolds number) are large." @default.
- W4288364098 created "2022-07-29" @default.
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- W4288364098 date "2019-04-28" @default.
- W4288364098 modified "2023-10-13" @default.
- W4288364098 title "On the Kolmogorov dissipation law in a damped Navier-Stokes equation" @default.
- W4288364098 doi "https://doi.org/10.48550/arxiv.1904.12382" @default.
- W4288364098 hasPublicationYear "2019" @default.
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