Postdoctoral Research Associate · University of Basel
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
Research in Analysis & PDEs
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.
Mean-field limits
Semi-classical analysis
Dispersive PDEs
Kinetic PDEs
Teaching
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
Research
Publications / Preprints
1
Singular limit for nonlocal conservation laws with non-locality in density and velocity.
SUBMMITED
2
With José A. Carrillo and Alexandra Holzinger. Well-posedness and mean-field limit of discontinuous weighted dynamics via relative entropy method.
SUBMITTED
3
With Antoine Gagnebin, Mikaela Iacobelli and Jonathan Junné. Propagation of velocity moments for the Vlasov–Poisson system with space-time dependent magnetic fields.
SUBMITTED
4
With Gui-Qiang Chen and Difan Yuan. Quantum quasi-neutral limits and Isothermal Euler equations. Nonlinearity, Volume 39, Number 6.
PUBLISHED
5
With José A. Carrillo and Pierre-Emmanuel Jabin. Singular flows with time-varying weights. Archive for Rational Mechanics and Analysis. Volume 250, article number 59 (2026)PUBLISHED
6
With Mikaela Iacobelli and Alexandre Rege. The quasi-neutral limit for log-lipschitz velocities.SIAM Journal on Mathematical Analysis Vol. 57, Iss. 1 (2025)
PUBLISHED
7
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
PUBLISHED
8
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
PUBLISHED
9
Convexity in Multivalued Harmonic Functions.Real Analysis Exchange. Vol. 47(2) 2022 pp. 1–19
PUBLISHED
10
Local conditional regularity for the Landau equation with Coulomb potential.Kinetic and Related Models, 2022, 15(5): 775–791
PUBLISHED
11
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)
PUBLISHED
12
Derivation of Euler's equations of perfect fluids from von Neumann's equation with magnetic field.Journal of Statistical Physics (2023) 190:121
PUBLISHED
13
The Magnetic Liouville Equation as a Semiclassical Limit. SIAM Journal on Mathematical Analysis Vol. 56, Iss. 1 (2024).
PUBLISHED
Resources