We study some extremal properties of the self-similar solutions of certain one- dimensional kinetic models of granular flows, usually known with the name of nonlinear friction equations. This analysis, inspired by some recent results on nonlinear di¤usion 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
FURIOLI, Giulia Maria Dalia;
2016-01-01
Abstract
We study some extremal properties of the self-similar solutions of certain one- dimensional kinetic models of granular flows, usually known with the name of nonlinear friction equations. This analysis, inspired by some recent results on nonlinear di¤usion equations [6], allows to obtain various sharp inequalities, which can be fruitfully used to better clarify the large-time behavior of the solution density.File allegato/i alla scheda:
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