标题： 广义细胞流的次指数混合与有界帕伦斯托菲 显示英文标题

标题： Sub-exponential mixing of generalized cellular flows with bounded palenstrophy

摘要： 我们研究由不可压缩流场输运的被动标量的混合性质。 我们考虑一类细胞流（比[Crippa-Schulze M3AS 2017]中的类更广泛），并证明在涡度平方积分在时间上一致有界的约束下，被动标量的混合尺度不能指数衰减。 显示英文摘要

摘要： We study the mixing properties of a passive scalar advected by an incompressible flow. We consider a class of cellular flows (more general than the class in [Crippa-Schulze M3AS 2017]) and show that, under the constraint that the palenstrophy is bounded uniformly in time, the mixing scale of the passive scalar cannot decay exponentially.