Gevrey regularity for the noncutoff nonlinear homogeneous Boltzmann equation with strong singularity

DOI10.1155/2014/584169zbMath1474.35511OpenAlexW1974980359WikidataQ59039646 ScholiaQ59039646MaRDI QIDQ1724443

Shi-you Lin

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/584169

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Analyticity in context of PDEs (35A20) Boltzmann equations (35Q20)

Related Items (3)

Gevrey regularity of solutions to the non-cutoff homogeneous Boltzmann equation for soft potential with strong singularity ⋮ The smoothing effect in sharp Gevrey space for the spatially homogeneous non-cutoff Boltzmann equations with a hard potential ⋮ Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules

Cites Work

• Gevrey regularity of spatially homogeneous Boltzmann equation without cutoff
• Smoothing effect of weak solutions for the spatially homogeneous Boltzmann equation without angular cutoff
• Gevrey smoothing effect of solutions for spatially homogeneous nonlinear Boltzmann equation without angular cutoff
• Smoothing estimates for Boltzmann equation with full-range interactions: spatially homogeneous case
• Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff
• Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac's equation
• Gevrey regularity for solution of the spatially homogeneous Landau equation
• Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff
• Ultra-analytic effect of Cauchy problem for a class of kinetic equations
• Gevrey hypoellipticity for linear and non-linear Fokker-Planck equations
• Smoothness of the Solution of the Spatially Homogeneous Boltzmann Equation without Cutoff
• Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules
• Local solutions in gevrey classes to the nonlinear Boltzmann equation without cutoff

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