Analytical regularizing effect for the radial and spatially homogeneous Boltzmann equation

Léo Glangetas (1) , Mohamed Najeme (1)

1 LMRS - Laboratoire de Mathématiques Raphaël Salem

In this paper, we consider a class of spatially homogeneous Boltzmann equation without angular cutoff. We prove that any radial symmetric weak solution of the Cauchy problem become analytic for positive time.

Mots clés: analytical regularizing; Non-cutoff Kac's equation; Gevrey regularizing; Key words and phrases. Boltzmann equation; smoothing effect of Cauchy problem

Domaines: Equations aux dérivées partielles [math.AP]

Léo Glangetas, Mohamed Najeme. Analytical regularizing effect for the radial and spatially homogeneous Boltzmann equation. Kinetic and Related Models , 2013, ⟨10.3934/krm.2013.6.407⟩. ⟨hal-00701857v3⟩