149 citations · 316 across the 36 of their papers we have counts for
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math.PR2023
The mean-field Limit of sparse networks of integrate and fire neurons
Pierre-Emmanuel Jabin, Datong Zhou
We study the mean-field limit of a model of biological neuron networks based on the so-called stochastic integrate-and-fire (IF) dynamics. Our approach allows to derive a continuou…
math.AP2023
Hölder and Sobolev regularity of optimal transportation potentials with rough measures
Pierre-Emmanuel Jabin, Antoine Mellet
We consider a Kantorovich potential associated to an optimal transportation problem between measures that are not necessarily absolutely continuous with respect to the Lebesgue mea…
math.AP2023
Global Existence of Weak Solutions for Compresssible Navier--Stokes--Fourier Equations with the Truncated Virial Pressure Law
Didier Bresch, Pierre-Emmanuel Jabin, Fei Wang
This paper concerns the existence of global weak solutions {\it à la Leray} for compressible Navier--Stokes--Fourier systems with periodic boundary conditions and the truncated vir…