Hard spheres dynamics: weak vs strong collisions

DOI10.1007/s00205-021-01610-1zbMath1476.70060arXiv2002.09157OpenAlexW3132221205MaRDI QIDQ2662025

Denis Serre

Publication date: 8 April 2021

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.09157

zbMATH Keywords

collisionshodographscompensated integrabilitylarge number of hard spheres

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (5)

Divergence-Free Tensors and Cofactors in Geometry and Fluid Dynamics ⋮ Fine properties of symmetric and positive matrix fields with bounded divergence ⋮ On the cardinality of collisional clusters for hard spheres at low density ⋮ Projective properties of divergence-free symmetric tensors, and new dispersive estimates in gas dynamics ⋮ An improved upper bound on the number of billiard ball collisions

Cites Work

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• Uniform estimates on the number of collisions in semi-dispersing billiards
• The mathematical theory of dilute gases
• Divergence-free positive symmetric tensors and fluid dynamics
• A lower bound for the number of elastic collisions
• Compensated integrability. Applications to the Vlasov-Poisson equation and other models in mathematical physics
• On the number of collisions in a hard sphere particle system in all space
• Finiteness of the number of collisions in a hard sphere particle system in all space, II: Arbitrary diameters and masses

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