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Pré-Publication, Document De Travail Année : 2017

Upper bounds for the function solution of the homogenuous 2D Bolzmann equation with hard potential

Résumé

We deal with f t (dv); solution of the homogenuous 2D Bolzmann equation without cuto¤. An important point is that the initial condition f 0 (dv) may be any probability distribution (except a Dirac mass). However, for su¢ cientely hard potentials, the semigroup has a regularization property (see [5]): f t (dv) = f t (v)dv for every t > 0: The aim of this paper is to give upper bounds for f t (v); the more signi…cant one beeing f t (v) Ct e jvj for some ; > 0:
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Dates et versions

hal-02429468 , version 2 (29-09-2017)
hal-02429468 , version 3 (02-05-2018)
hal-02429468 , version 1 (06-01-2020)

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Vlad Bally. Upper bounds for the function solution of the homogenuous 2D Bolzmann equation with hard potential. 2017. ⟨hal-02429468v2⟩
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