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Immanuel Ben Porat

Immanuel Ben Porat

BA, MA, PhD
Status
Postdoctoral Research Associate
Contact form
https://immanuelbenporat.wixsite.com/immanuel-ben-porat
+44 1865 615105
Research groups
  • Oxford Centre for Nonlinear PDE

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Research interests

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. 

Major / recent publications

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.

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