N particles approximation of the Vlasov equations with singular potential

Maxime Hauray; Jabin Pierre-Emmanuel

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N particles approximation of the Vlasov equations with singular potential

Maxime Hauray·Jabin Pierre-Emmanuel

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Abstract

On demontre la convergence pour tout temps d'une approximation de l'equation de Vlasov par un systeme de particules sans regularisation du champ, ceci pour des potentiels singuliers, avec une force du type $1/|x|^α$, pour αplus petit que 1.

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Maxime Hauray, Jabin Pierre-Emmanuel. 2003-10-03. N particles approximation of the Vlasov equations with singular potential. https://arxiv.org/abs/math/0310039

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