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math.AP2020
Recent development in kinetic theory of granular materials: analysis and numerical methods
Jose Antonio Carrillo, Jingwei Hu, Zheng Ma +1
Over the past decades, kinetic description of granular materials has received a lot of attention in mathematical community and applied fields such as physics and engineering. This…
math.AP2019
Finite Volume Method for a System of Continuity Equations Driven by Nonlocal Interactions
Anissa Keurti, Thomas Rey
We present a new finite volume method for computing numerical approximations of a system of nonlocal transport equation modeling interacting species. This method is based on the wo…
math.AP2016
Hydrodynamic limit of granular gases to pressureless Euler in dimension 1
Pierre-Emmanuel Jabin, Thomas Rey
We investigate the behavior of granular gases in the limit of small Knudsen number, that is very frequent collisions. We deal with the strongly inelastic case, in one dimension of…