About Me

IMMANUEL BEN PORAT

Welcome! I am a postdoctoral research associate in university of Basel, hosted by Gianluca Crippa. Before that I was a postdoctoral research associate in the department of mathematics at the university of Oxford, hosted by Jose Carrillo and Gui-Qiang Chen. I obtained my PhD in Ecole Polytechnique under the supervision of Francois Golse.
Learn More
See Our Work

PROFESSIONAL BIO

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.

Research Output

Publications

The magnetic Liouville equation as a semi-classical limit. [2210.04375] The magnetic Liouville equation as a semi-classical limit (arxiv.org). SIAM Journal on Mathematical Analysis Vol. 56, Iss. 1 (2024).

Derivation of Euler's equations of perfect fluids from von Neumann's equation with magnetic field. [2208.01158] Derivation of Euler's equations of perfect fluids from von Neumann's equation with magnetic field. Journal of Statistical Physics (2023) 190:121

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).

Local conditional regularity for the Landau equation with Coulomb potential. Kinetic and Related Models, 2022, 15(5): 775-791.

Convexity in Multivalued Harmonic Functions. Real Analysis Exchange. Vol. 47(2) 2022 pp. 1-19.

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.

With José A. Carrillo and Pierre-Emmanuel Jabin. The graph limit for a pairwise competition model. Accepted for publication in Journal of Differential Equations.

With Mikaela Iacobelli and Alexandre Rege. The quasi-neutral limit for log-lipschitz velocities. Accepted for publication in SIAM Journal on Mathematical Analysis.

. With José A. Carrillo and Pierre-Emmanuel Jabin. Singular flows with time-varying weights. Submitted.

With Gui-Qiang Chen and Difan Yuan. Quantum quasi-neutral limits and Isothermal Euler equations. Submitted.

Courses

Courses I Attended

01.

80127 (HU) Mathematics for science students. 2019.

02.

MAA301 (EP) Measure and integration. 2019.

03.

MAA206 (EP) Quadratic forms and applications 2020.

04.

MAA301 (EP) Measure and integration. 2020.

05.

MAA301 (EP) Measure and integration. 2021.

Resources

Design

Lorem ipsum dolor, sit amet consectetur adipisicing elit.

Read More

Programming

Lorem ipsum dolor, sit amet consectetur adipisicing elit.

Read More

Marketing

Lorem ipsum dolor, sit amet consectetur adipisicing elit.

Read More

Give us a call

+010 2876 2345

Info@example.com
121 King Street, Melbourne Victoria 365 USA
Facebook Twitter Youtube
Scroll to Top