Hydrodynamic limit of granular gases to pressureless Euler in dimension 1

Jabin, Pierre-Emmanuel; Rey, Thomas

doi:10.1090/qam/1442

Authors: Pierre-Emmanuel Jabin and Thomas Rey
Journal: Quart. Appl. Math. 75 (2017), 155-179
MSC (2010): Primary 35A23, 35B40, 35L67, 35L80
DOI: https://doi.org/10.1090/qam/1442
Published electronically: July 5, 2016
MathSciNet review: 3580099
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Abstract: 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 space and velocity. We are able to prove the convergence toward the pressureless Euler system. The proof relies on dispersive relations at the kinetic level, which leads to the so-called Oleinik property at the limit.

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