Sharp cooling rates in nonlinear friction equations

  • Giulia Furioli

    Università di Bergamo, Dalmine, Italy
  • Ada Pulvirenti

    Università degli Studi di Pavia, Italy
  • Elide Terraneo

    Università degli Studi di Milano, Italy


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.

Cite this article

Giulia Furioli, Ada Pulvirenti, Elide Terraneo, Sharp cooling rates in nonlinear friction equations. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 27 (2016), no. 1, pp. 127–146

DOI 10.4171/RLM/727