Analytical regularizing effect for the radial and spatially homogeneous Boltzmann equation

DOI10.3934/KRM.2013.6.407zbMath1262.35068arXiv1205.6200OpenAlexW2963536955MaRDI QIDQ1941525

Mohamed Najeme, Léo Glangetas

Publication date: 13 March 2013

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.6200

zbMATH Keywords

Fourier analysisnon-cutoff cross-sectionsKac's equationGevrey regularizingsmoothing effect of Cauchy problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Analyticity in context of PDEs (35A20) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Subelliptic equations (35H20) Boltzmann equations (35Q20)

Related Items (8)

Sharp regularity properties for the non-cutoff spatially homogeneous Boltzmann equation ⋮ The Gelfand-Shilov smoothing effect for the radially symmetric homogeneous Landau equation with Shubin initial datum ⋮ Shubin regularity for the radially symmetric spatially homogeneous Boltzmann equation with Debye-Yukawa potential ⋮ Smoothing effect and Cauchy problem for radially symmetric homogeneous Boltzmann equation with Debye-Yukawa potential of Shubin class initial datum ⋮ Gevrey regularity of solutions to the non-cutoff homogeneous Boltzmann equation for soft potential with strong singularity ⋮ The Cauchy problem for the radially symmetric homogeneous Boltzmann equation with Shubin class initial datum and Gelfand-Shilov smoothing effect ⋮ Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules ⋮ Sharp regularity and Cauchy problem of the spatially homogeneous Boltzmann equation with Debye-Yukawa potential

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