Sub-exponential mixing of generalized cellular flows with bounded palenstrophy. (English) Zbl 1537.35284
Summary: 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 [G. Crippa and C. Schulze, Math. Models Methods Appl. Sci. 27, No. 12, 2297–2320 (2017; Zbl 1379.35236)]) and show that, under the constraint that the palenstrophy is bounded uniformly in time, the mixing scale of the passive scalar cannot decay exponentially.
MSC:
| 35Q35 | PDEs in connection with fluid mechanics |
| 76T99 | Multiphase and multicomponent flows |
| 76R50 | Diffusion |
| 60J60 | Diffusion processes |
Citations:
Zbl 1379.35236References:
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