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math.AP2026
From the Maxwell-Schrödinger equation to the Euler-Maxwell equation in the semiclassical limit
Immanuel Ben Porat
We derive the pressureless Euler-Maxwell system as a semiclassical limit from the Maxwell-Schrödinger equation. The method relies on studying a quantum modulated energy accounting…
math.AP2026
The relativistic Euler-Poisson equation as a mean-field limit
Immanuel Ben Porat
We adapt the renormalized energy method developed in \cite{duerinckx2020mean} in order to prove the monokinetic mean field limit for relativistic Newtonian dynamics. The resulting…
math.AP2026
Supercritical mean--field limit for magnetized Hamiltonian dynamic
Immanuel Ben Porat, Gui-Qiang G. Chen, Difan Yuan
The magnetized Vlasov--Poisson equation is a fundamental kinetic model for collisionless plasmas. We establish its quasi-neutral limit in two dimensions in the presence of a spatia…