2011/04/26 by Ricardo J. Alonso, Alonso, Ricardo J., Bertrand Lods +1
Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Granular flow and fluidized beds #Thermoelastic and Magnetoelastic Phenomena #math.AP
paper · pdf · doi:10.48550/arxiv.1104.4877
arxiv created 2011/04/26 · openalex publication_date 2011/04/26 · arxiv updated 2011/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We revisit our recent contribution (SIAM J. Math. Analysis, 42 (2010) 2499--2538) and give two simpler proofs of the so-called Haff's law for granular gases (with non-necessarily constant restitution coefficient). The first proof is based upon the use of entropy and asserts that Haff's law holds whenever the initial datum is of finite entropy. The second proof uses only the moments of the solutions and holds in some weakly inelasticity regime which has to be clearly defined whenever the restitution coefficient is non-constant