论文标题
在边界处有噪声的三维剪切驱动湍流
Three-dimensional shear driven turbulence with noise at the boundary
论文作者
论文摘要
我们考虑不可压缩的3D Navier-Stokes方程，受到边界部分嘈杂运动引起的剪切的影响。噪声的效果通过上限对耗散率的前两个矩进行量化。预期价值估计与Kolmogorov耗散定律一致，在确定性情况下，恢复了[15]中的上限。边界的运动由Ornstein-Uhlenbeck过程给出。如果Wiener过程取代了Ornstein-Uhlenbeck过程，则会注意到过度散落的潜力。
We consider the incompressible 3D Navier-Stokes equations subject to a shear induced by noisy movement of part of the boundary. The effect of the noise is quantified by upper bounds on the first two moments of the dissipation rate. The expected value estimate is consistent with the Kolmogorov dissipation law, recovering an upper bound as in [15] for the deterministic case. The movement of the boundary is given by an Ornstein-Uhlenbeck process; a potential for over-dissipation is noted if the Ornstein-Uhlenbeck process were replaced by the Wiener process.
