Sharp cooling rates in nonlinear friction equations (Q269597)
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scientific article; zbMATH DE number 6570510
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sharp cooling rates in nonlinear friction equations |
scientific article; zbMATH DE number 6570510 |
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Sharp cooling rates in nonlinear friction equations (English)
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19 April 2016
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Summary: 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 diffusion equations [\textit{J. Dolbeault} and \textit{G. Toscani}, J. Phys. A, Math. Theor. 48, No. 6, Article ID 065206, 14 p. (2015; Zbl 1311.35132)], allows to obtain various sharp inequalities, which can be fruitfully used to better clarify the large-time behavior of the solution density.
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granular gases
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Boltzmann equation
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long-time behavior of solution
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0.84395564
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0.8412874
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0.8407947
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0.83963907
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0.8379417
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0.83515483
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0.8334921
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