# Fluid dynamic limit of Boltzmann equation for granular hard--spheres in a nearly elastic regime

@article{Alonso2020FluidDL, title={Fluid dynamic limit of Boltzmann equation for granular hard--spheres in a nearly elastic regime}, author={Ricardo J. Alonso and Bertrand Lods and Isabelle Tristani}, journal={arXiv: Analysis of PDEs}, year={2020} }

In this paper, we provide the first rigorous derivation of hydrodynamic equations from the Boltzmann equation for inelastic hard spheres with small inelasticity. The hydrodynamic system that we obtain is an incompressible Navier-Stokes-Fourier system with self-consistent forcing terms and, to our knowledge, it is thus the first hydrodynamic system that properly describes rapid granular flows consistent with the kinetic formulation. To this end, we write our Boltzmann equation in a non…

## 6 Citations

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