A stochastic approach to enhanced diffusion

• Michele Coti Zelati ^[1] ; Theodore D. Drivas ^[2]
  1. [1] Imperial College London

     Imperial College London

     Reino Unido

     
  2. [2] Princeton University

     Princeton University

     Estados Unidos

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 22, Nº 2, 2021, págs. 811-834
• Idioma: inglés
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• Resumen

  • We provide examples of initial data which saturate the enhanced dif- fusion rates proved for general shear flows which are H ̈older 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