Approximation of Euler-type equations by systems of vortices
Résumé
We prove the weak convergence for any time of a system of quasi-vortex with positive and negative signs and without any trucature of the kernel to the solution of the Euler equation. Quasi-vortex means here that the kernel has a singularity in 1/|x|α with α ≤ 1 instead of diverging in 1/|x| near the origin. We also give some bounds on the force field for the true vortex case and explain why our technic fails in this case.
Domaines
Analyse numérique [math.NA]Origine | Fichiers produits par l'(les) auteur(s) |
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