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比利时vs摩洛哥足彩 ,
university of california san diego

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math 248- analysis seminar

stanley snelson

florida institute of technology

coercive lower bounds and vacuum-filling in the boltzmann equation

abstract:

in this talk, we describe self-generating pointwise lower bounds for solutions of the non-cutoff boltzmann equation, which models the evolution of the particle density of a diffuse gas. these lower bounds imply that vacuum regions in the initial data are filled instantaneously, and also lead to key coercivity estimates for the collision operator. as an application, we can remove the assumptions of mass bounded below and entropy bounded above, from the known criteria for smoothness and continuation of solutions. the proof strategy also applies to the landau equation, and we will compare this (deterministic) proof with our prior (probabilistic) proof of lower bounds for the landau equation. this talk is based on joint work with chris henderson and andrei tarfulea.

host: tarek elgindi

march 10, 2020

11:00 am

ap&m 7321

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