IMMANUEL BEN PORAT

Welcome!

I am a postdoctoral research associate at University of Basel, hosted by Gianluca Crippa. Before that I was a postdoctoral research associate in the department of mathematics at University of Oxford, hosted by José Carrillo and Gui-Qiang Chen. I obtained my PhD at École Polytechnique under the supervision of François Golse.

ABOUT ME

I am a postdoctoral research associate at university of Basel.

I obtained my PhD in mathematics in November 2022 from École Polytechnique under the supervision of François Golse.

I am interested in anything which has to do with analysis and partial differential equations.

In particular:

Mean-field limits, semi-classical analysis of dispersive PDEs and kinetic PDEs.

To contact me: immanuel.ben-porath@unibas.ch

COURSES

Here are some selected courses that I was TA or a lecturer in:

(UB)
Differential Equations.
2025.

10482-01 (UB)
Differential Geometry.
2025.

MAA206 (EP) Quadratic forms. 2020.

MAA301 (EP) Measure and integration. 2020.

MAA301 (EP) Measure and integration. 2021.

Publications
/Preprints

With José A. Carrillo and Alexandra Holzinger. Well-posedness and mean-field limit of discontinuous weighted dynamics via relative entropy method.
In preparation.
With Antoine Gagnebin, Mikaela Iacobelli and Jonathan Junné. Propagation of velocity moments for the Vlasov–Poisson system with space-time dependent magnetic fields.
Preprint.
With Gui-Qiang Chen and Difan Yuan. Quantum quasi-neutral limits and Isothermal Euler equations. Preprint.
With José A. Carrillo and Pierre-Emmanuel Jabin. Singular flows with time-varying weights. Preprint.
With Mikaela Iacobelli and Alexandre Rege. The quasi-neutral limit for log-lipschitz velocities. SIAM Journal on Mathematical Analysis Vol. 57, Iss. 1 (2025).
With José A. Carrillo and Pierre-Emmanuel Jabin. The graph limit for a pairwise competition model. Journal of Differential Equations Volume 413, 25 December 2024, Pages 329-369.
With José A. Carrillo and Sondre T. Galtung. Mean field limit for one dimensional opinion dynamics with Coulomb interaction and time dependent weights. Nonlinear Analysis, 240:113462.
Convexity in Multivalued Harmonic Functions.Real Analysis Exchange. Vol. 47(2) 2022 pp. 1-19.
Local conditional regularity for the Landau equation with Coulomb potential. Kinetic and Related Models, 2022, 15(5): 775-791.
With François Golse. Pickl’s proof of the quantum mean-field limit and quantum Klimontovich solutions. Letters in Mathematical Physics, Volume 114, article number 51, (2024).
Derivation of Euler’s equations of perfect fluids from von Neumann’s equation with magnetic field. Journal of Statistical Physics (2023) 190:121
The magnetic Liouville equation as a semi-classical limit (arxiv.org). SIAM Journal on Mathematical Analysis Vol. 56, Iss. 1 (2024).