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Article Dans Une Revue Kinetic and Related Models Année : 2013

A remark on the ultra-analytic smoothing properties of the spatially homogeneous Landau equation

Résumé

We consider the non-linear spatially homogeneous Landau equation with Maxwellian molecules in a close-to-equilibrium framework and show that the Cauchy problem for the fluctuation around the Maxwellian equilibrium distribution enjoys a Gelfand-Shilov regularizing eftfect in the class,implying the ultra-analyticity and the production of exponential moments of the fluctuation, for any positive time.

Dates et versions

hal-01116717 , version 1 (14-02-2015)

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Yoshinori Morimoto, Karel Pravda-Starov, Chao-Jiang Xu. A remark on the ultra-analytic smoothing properties of the spatially homogeneous Landau equation. Kinetic and Related Models , 2013, 6 (4), pp.715-727. ⟨10.3934/krm.2013.6.715⟩. ⟨hal-01116717⟩
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