# Hard spheres dynamics: weak vs hard collisions

Abstract : We consider the motion of a finite though large number $N$ of hard spheres in the whole space $\R^n$. 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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Preprints, Working Papers, ...
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Cited literature [13 references]

https://hal-ens-lyon.archives-ouvertes.fr/ensl-02065701
Contributor : Denis Serre Connect in order to contact the contributor
Submitted on : Tuesday, February 18, 2020 - 4:15:52 PM
Last modification on : Saturday, February 22, 2020 - 1:39:41 AM

### Files

EstMD_v3.pdf
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### Identifiers

• HAL Id : ensl-02065701, version 3
• ARXIV : 1903.05866

### Citation

Denis Serre. Hard spheres dynamics: weak vs hard collisions. 2020. ⟨ensl-02065701v3⟩

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