Anomalous Dissipation for the Forced 3D Navier-Stokes Equations

被引：16
|
作者：
Brue, Elia [1 ]
De Lellis, Camillo [1 ]
机构：
[1] Inst Adv Study, Sch Math, 1 Einstein Dr, Princeton, NJ 08540 USA
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2023年 / 400卷 / 03期
关键词：
EULER EQUATIONS; ENERGY;
D O I：
10.1007/s00220-022-04626-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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：27
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