Mathematics – Analysis of PDEs
Scientific paper
2011-04-26
Mathematics
Analysis of PDEs
Scientific paper
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
Alonso Ricardo J.
Lods Bertrand
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