Derivation of Yudovich solutions of Incompressible Euler from the Vlasov-Poisson system
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 BMO, in accordance to the celebrated Yudovich theorem.
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