论文标题
一般对流扩散方程中细胞流的耗散增强
Dissipation enhancement of cellular flows in general advection diffusion equations
论文作者
论文摘要
本文的主要贡献是双重的：（1）最近，Iyer，Xu和Zlatoš研究了基于标准的对流扩散方程通过随机方法通过细胞流进行的耗散增强。我们将它们的结果推广到对流超扩散方程和对流非线性扩散方程。 （2）我们证明存在光滑的不可压缩流，这些流量可以增强到超扩散，但不是标准扩散。
The main contribution of this paper is twofold: (1) Recently, Iyer, Xu, and Zlatoš studied the dissipation enhancement by cellular flows based on standard advection-diffusion equations via a stochastic method. We generalize their results to advective hyper-diffusion equations and advective nonlinear diffusion equations. (2) We prove there exist smooth incompressible flows that are relaxation enhancing to hyper-diffusion but not to standard diffusion.
