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math.AP2019★ 4 cited
On Mean Field Limit and Quantitative Estimates with a Large Class of Singular Kernels: Application to the Patlak-Keller-Segel Model
Didier Bresch, Pierre-Emmanuel Jabin, Zhenfu Wang
In this note, we propose a new relative entropy combination of the methods developed by P.--E. Jabin and Z.~Wang [Inventiones (2018)] and by S. Serfaty [Proc. Int. Cong. of Math, (…
math.AP2018
Compression Effects in Heterogeneous Media
D. Bresch, S. Necasova, C. Perrin
We study in this paper compression effects in heterogeneous media with maximal packing constraint. Starting from compressible Brinkman equations, where maximal packing is encoded i…