论文标题
强制3D Navier-Stokes方程的异常耗散
Anomalous dissipation for the forced 3D Navier-Stokes equations
论文作者
论文摘要
在本文中，我们考虑了强迫不可压缩的Navier-Stokes方程，在三维圆环上具有消失的粘度。我们表明，有（经典的）溶液在粘度参数中均匀地远离零，而身体力则在某些合理的规律性类别中均匀地界定。
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.
