Mathematics Seminar at ICTP - Thursday 11 July at 14:30 (Matias DELGADINO)

[ICTP Math Section]

M A T H E M A T I C S   S E M I N A R S  2019


Thursday 11 July, at 14:30 hrs.


Speaker: Matias Delgadino (Imperial College - London)


Title: Diffusion and mixing in incompressible flows


Abstract: We study diffusion and mixing in different fluid dynamics 
models, mainly related to incompressible flows. In this setting, mixing 
is a purely advective effect which causes a transfer of energy to high 
frequencies. Mixing acts to enhance the dissipative forces, giving rise 
to what we refer to as enhanced dissipation. We understand by this the 
identification of a decay time-scale, which is faster than the purely 
diffusive one. We will give a general quantitative criterion that links 
mixing rates (in terms of decay of negative Sobolev norms) to enhanced 
dissipation time-scales. Applications include passive scalar evolution 
in both planar and radial settings, fractional diffusion, linearized 
two-dimensional Navier-Stokes equations, and even simple examples in 
kinetic theory.

http://indico.ictp.it/event/9005/

VENUE:  Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor)

-- 
Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

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