149 citations · 316 across the 36 of their papers we have counts for
4 papers · 1 filter
Mean-field limit and quantitative estimates with singular attractive kernels
Didier Bresch, Pierre-Emmanuel Jabin, Zhenfu Wang
This paper proves the mean field limit and quantitative estimates for many-particle systems with singular attractive interactions between particles. As an important example, a full…
Compressible Navier-Stokes equations with heterogeneous pressure laws
Didier Bresch, Pierre Emmanuel Jabin, Fei Wang
This paper concerns the existence of global weak solutions à la Leray for compressible Navier-Stokes equations with a pressure law that depends on the density and on time and space…
Commutator Method for Averaging Lemmas
Pierre-Emmanuel Jabin, Hsin-Yi Lin, Eitan Tadmor
We introduce a commutator method with multipliers to prove averaging lemmas, the regularizing effect for the velocity average of solutions for kinetic equations. This method requir…
Stability for the Training of Deep Neural Networks and Other Classifiers
Leonid Berlyand, Pierre-Emmanuel Jabin, C. Alex Safsten
We examine the stability of loss-minimizing training processes that are used for deep neural networks (DNN) and other classifiers. While a classifier is optimized during training t…