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arXiv · 2403.14080

Derivation of Yudovich solutions of Incompressible Euler from the Vlasov-Poisson system

Immanuel Ben Porat·Mikaela Iacobelli·Alexandre Rege
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Abstract

We derive the two dimensional incompressible Euler equation as a quasineutral limit of the Vlasov-Poisson equation using a modulated energy approach. We propose a strategy which enables to treat solutions where the gradient of the velocity is merely $\mathrm{BMO}$, in accordance to the celebrated Yudovich theorem.

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Immanuel Ben Porat, Mikaela Iacobelli, Alexandre Rege. 2024-03-21. Derivation of Yudovich solutions of Incompressible Euler from the Vlasov-Poisson system. https://arxiv.org/abs/2403.14080

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