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SUMMARY:Bounds on mixing norms for advection diffusion equations in the w
 hole space via Fourier splitting and decay characters - Camilla Nobili (Un
 iversity of Surrey)
DTSTART:20220308T133000Z
DTEND:20220308T143000Z
UID:TALK170678@talks.cam.ac.uk
DESCRIPTION:I will start this talk introducing a conjecture of Charles Doe
 ring and Christopher Miles (stated in &ldquo\;Diffusion-limited mixing by
  incompressible flows&rdquo\; \, Nonlinearity 2018) on long-time converge
 nce to the Batchelor scale of a suitable norm for mixing in passive scalar
 s. Motivated by this conjecture\, I will present mixing estimates on $R^n$
  obtained in collaboration with Steffen Pottel by means of the Fourier-sp
 litting method. These estimates were recently (substantially) improved by 
 relaxing the assumptions on initial conditions.
LOCATION:Seminar Room 1\, Newton Institute
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