The theory of the nonlinear Boltzmann equation for Maxwell molecules in Fourier representation |
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| Authors: | A. Pulvirenti G. Toscani |
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| Affiliation: | (1) Present address: Dipartimento di Matematica, Universitá di Pavia, Via Abbiategrasso 209, 27100 Pavia, Italy |
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| Abstract: | We study the Cauchy problem for the spatially homogenem Boltzmann equation for true Maxwell molecules. Using the Fourier representation introduced byBobylev [Bo75],we give a simplified proof of a result proved byTanaka [Ta78].Moreover, we show by means of simple geometric properties, that Tanaka functional is an entropy decreasing functional for the Boltzmann equation for Maxwell molecules. |
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