7 citations · 7 across the 5 of their papers we have counts for
7 papers
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…
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…
The magnetic Liouville equation as a semi-classical limit
Immanuel Ben Porat
The Liouville equation with non-constant magnetic field is obtained as a limit in the Planck constant \hbar of the Heisenberg equation with the same magnetic field. The convergence…
Derivation of Euler's equations of perfect fluids from von Neumann's equation with magnetic field
Immanuel Ben Porat
We give a rigorous derivation of the incompressible 2D Euler equation from the von Neumann equation with magnetic field. The convergence is with respect to the modulated energy fun…
Pickl's Proof of the Quantum Mean-Field Limit and Quantum Klimontovich Solutions
Immanuel Ben Porat, François Golse
This paper discusses the mean-field limit for the quantum dynamics of identical bosons in interacting via a binary potential with Coulomb type singularity. Our ap…
Local conditional regularity for the Landau equation with Coulomb potential
Immanuel Ben Porat
This paper studies the regularity of Villani solutions of the space homogeneous Landau equation with Coulomb interaction in dimension 3. Specifically, we prove that any such soluti…