1. A stochastic approach to enhanced diffusion
- Author
-
Michele Coti Zelati and Theodore D. Drivas
- Subjects
FOS: Physical sciences ,01 natural sciences ,010305 fluids & plasmas ,Theoretical Computer Science ,Interpretation (model theory) ,Physics::Fluid Dynamics ,Mathematics - Analysis of PDEs ,Mathematics (miscellaneous) ,0103 physical sciences ,FOS: Mathematics ,0101 mathematics ,Diffusion (business) ,Mathematics ,Fusion ,Probability (math.PR) ,010102 general mathematics ,Mathematical analysis ,Fluid Dynamics (physics.flu-dyn) ,Probabilistic logic ,Physics - Fluid Dynamics ,Dissipation ,Lipschitz continuity ,Shear (sheet metal) ,Convection–diffusion equation ,Mathematics - Probability ,Analysis of PDEs (math.AP) - Abstract
We provide examples of initial data which saturate the enhanced diffusion rates proved for general shear flows which are H\"{o}lder regular or Lipschitz continuous with critical points, and for regular circular flows, establishing the sharpness of those results. Our proof makes use of a probabilistic interpretation of the dissipation of solutions to the advection diffusion equation., Comment: 17 pages, 3 figures
- Published
- 2021
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