4 papers
Quantum Quasi-neutral Limits and Isothermal Euler Equations
Immanuel Ben Porat, Gui-Qiang G. Chen, Difan Yuan
We provide a rigorous justification of the semiclassical quasi-neutral and the quantum many-body limits to the isothermal Euler equations. We consider the nonlinear Schrödinger-Poi…
Singular flows with time-varying weights
Immanuel Ben Porat, José A. Carrillo, Pierre-Emmanuel Jabin
We study the mean field limit for singular dynamics with time evolving weights. Our results are an extension of the work of Serfaty \cite{duerinckx2020mean} and Bresch-Jabin-Wang \…
The graph limit for a pairwise competition model
Immanuel Ben Porat, José A. Carrillo, Pierre-Emmanuel Jabin
This paper is aimed at extending the graph limit with time dependent weights obtained in [1] for the case of a pairwise competition model introduced in [10], in which the equation…
Mean field limit for one dimensional opinion dynamics with Coulomb interaction and time dependent weights
Immanuel Ben Porat, José A. Carrillo, Sondre T. Galtung
The mean field limit with time dependent weights for a 1D singular case, given by the attractive Coulomb interactions, is considered. This extends recent results [1,8] for the case…