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Hard spheres dynamics: weak vs hard collisions

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 نشر من قبل Denis Serre
 تاريخ النشر 2020
  مجال البحث
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 تأليف Denis Serre




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We consider the motion of a finite though large number $N$ of hard spheres in the whole space $mathbb{R}^n$. Particles move freely until they experience elastic collisions. We use our recent theory of Compensated Integrability in order to estimate how much the particles are deviated by collisions. Our result, which is expressed in terms of hodographs, tells us that only $O(N^2)$ collisions are significant.


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