Immanuel Ben Porat
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Since October 2022 I am a postdoctoral research associate at Oxford Centre for Nonlinear Partial Differential Equations. I am currently working on classical/ semi-classical mean field limits for PDEs, as well as regularity theory for nonlinear parabolic PDEs. I also have some interest in PDEs in relation to geometric measure theory.
1. The magnetic Liouville equation as a semi-classical limit. [2210.04375] The magnetic Liouville equation as a semi-classical limit (arxiv.org)
2. 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 (arxiv.org)
3. With François Golse. Pickl's proof of the quantum mean-field limit and quantum Klimontovich solutions. [2203.13373] Pickl's Proof of the Quantum Mean-Field Limit and Quantum Klimontovich Solutions (arxiv.org)
4. Local conditional regularity for the Landau equation with Coulomb potential. Kinetic and Related Models, 2022, 15(5): 775-791.
5. Convexity in Multivalued Harmonic Functions. Real Analysis Exchange. Vol. 47(2) 2022 pp. 1-19.