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Pré-Publication, Document De Travail Année : 2007

Approximation of Euler-type equations by systems of vortices

Maxime Hauray

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.
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Dates et versions

hal-00140077 , version 1 (04-04-2007)

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  • HAL Id : hal-00140077 , version 1

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Maxime Hauray. Approximation of Euler-type equations by systems of vortices. 2007. ⟨hal-00140077⟩
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