We study some extremal properties of the self-similar solutions of certain onedimensional kinetic models of granular flows, usually known with the name of nonlinear friction equations. This analysis, inspired by some recent results on nonlinear diffusion equations [6], allows to obtain various sharp inequalities, which can be fruitfully used to better clarify the large-time behavior of the solution density.
Sharp cooling rates in nonlinear friction equations / G. Furioli, A. Pulvirenti, E. Terraneo. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - 27:1(2016), pp. 127-146.
Titolo: | Sharp cooling rates in nonlinear friction equations |
Autori: | TERRANEO, ELIDE (Ultimo) |
Parole Chiave: | Boltzmann equation; granular gases; long-time behavior of solution |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
Data di pubblicazione: | 2016 |
Rivista: | |
Tipologia: | Article (author) |
Digital Object Identifier (DOI): | http://dx.doi.org/10.4171/RLM/727 |
Appare nelle tipologie: | 01 - Articolo su periodico |
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