N particles approximation of the Vlasov equations with singular potential

Details N particles approximation of the Vlasov equations with singular potential N particles approximation of the Vlasov equations with singular potential

2003-10-03

arxiv.org/abs/math/0310039v1

Mathematics

Analysis of PDEs

Septembre 2003

Scientific paper

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 $1/|x|^{\alpha}$, pour \alpha
plus petit que 1.

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