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math.AP2024
Derivation of Yudovich solutions of Incompressible Euler from the Vlasov-Poisson system
Immanuel Ben Porat, Mikaela Iacobelli, Alexandre Rege
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 en…
math.AP2024★ 2 cited
Stability estimates for magnetized Vlasov equations
Alexandre Rege
We present two results related to magnetized Vlasov equations. Our first contribution concerns the stability of solutions to the magnetized Vlasov-Poisson system with a non-uniform…