4 papers
From magnetized Coulombic quantum dynamics to magnetized fluids
Immanuel Ben Porat
We extend the quantum modulated energy developed in [17] in order to de- rive the magnetized pressureless Euler-Poisson equation as a semiclassical and mean field semiclassical lim…
Nonlocal-to-local limit for linear transport equations with measure initial data
Immanuel Ben Porat
We initiate the study of the nonlocal to local limit for linear transport equa- tions. A nonlocal version of the linear transport equation is introduced alongside an appropriate we…
Singular limit for nonlocal conservation laws with non-locality in density and velocity
Immanuel Ben Porat
We study the singular limit of a nonlocal conservation law incorporating both non-locality in density and velocity. We derive classical solutions of the underlying Burgers equation…
Well-posedness and mean-field limit of discontinuous weighted dynamics via the relative entropy method
Immanuel Ben Porat, José A. Carrillo, Alexandra Holzinger
We consider deterministic particle dynamics with time evolving weights and their associated Kolmogorov equation and mean-field equation. We prove existence and unique- ness for the…