{"ID":23056311,"CreatedAt":"2026-09-17T06:17:14.403768621Z","UpdatedAt":"2026-09-17T06:17:14.403768621Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2609.18810","arxiv_id":"2609.18810","title":"Convergence of a multi-fluid scheme for the Vlasov--Poisson system","abstract":"In this paper, we introduce a novel multi-fluid approximation scheme for the one-dimensional Vlasov-Poisson system, that is relevant for arbitrarily long time intervals. For low regularity solutions, we establish an error estimate in the Wasserstein-1 distance, obtaining a convergence rate of order $O(h^{\\frac{2}{3}})$, where h denotes the velocity grid size. This establishes the consistency, as the grid size tends to zero, between the pressureless Euler-Poisson and the Vlasov-Poisson systems. Numerical illustrations are given to illustrate the efficiency of our approach.","short_abstract":"In this paper, we introduce a novel multi-fluid approximation scheme for the one-dimensional Vlasov-Poisson system, that is relevant for arbitrarily long time intervals. For low regularity solutions, we establish an error estimate in the Wasserstein-1 distance, obtaining a convergence rate of order $O(h^{\\frac{2}{3}})$...","url_abs":"https://arxiv.org/abs/2609.18810","url_pdf":"https://arxiv.org/pdf/2609.18810v1","authors":"[\"Mehdi Badsi\",\"Nicolas Crouseilles\",\"Daniel Han-Kwan\"]","published":"2026-09-16T15:21:06Z","proceeding":"math.AP","tasks":"[\"math.AP\",\"math.NA\"]","methods":"[]","has_code":false}