Anomalous Dissipation for the Forced 3D Navier–Stokes Equations

被引：0
|
作者：
Elia Bruè
Camillo De Lellis
机构：
[1] Institute for Advanced Study,School of Mathematics
来源：
Communications in Mathematical Physics | 2023年 / 400卷
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摘要：
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.
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页码：1507 / 1533
页数：26
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