论文标题
被动标量传输中异常耗散的微观表达
Microscopic expression of anomalous dissipation in Passive scalar transport
论文作者
论文摘要
我们从微观观点研究异常耗散。在Drivas，Elgindi，Iyer和Jeong（2022）的工作中，异常耗散的特性为具有单数速度场的传输方程提供了非唯一的弱解。在本文中，我们根据动力学理论重新考虑了该解决方案，并阐明了其微观特性。因此，能量损失可以通过非变化的微观对流来表达。
We study anomalous dissipation from a microscopic viewpoint. In the work by Drivas, Elgindi, Iyer and Jeong (2022), the property of anomalous dissipation provides the existence of non-unique weak solutions for a transport equation with a singular velocity field. In this paper, we reconsider this solution in terms of kinetic theory and clarify its microscopic property. Consequently, energy loss can be expressed by non-vanishing microscopic advection.
