Existence of local solutions for the Boltzmann equation without angular cutoff

DOI10.1016/J.CRMA.2009.09.015zbMath1179.35232OpenAlexW2011181979MaRDI QIDQ1040550

Chao-Jiang Xu, Tong Yang, Seiji Ukai, Radjesvarane Alexandre, Yoshinori Morimoto

Publication date: 25 November 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.09.015

zbMATH Keywords

Boltzmann equationexponential decayangular cutoffMaxwellian type

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (1)

Global existence and full regularity of the Boltzmann equation without angular cutoff

Cites Work

• Unnamed Item
• Regularizing effect and local existence for the non-cutoff Boltzmann equation
• Regularity of solutions for the Boltzmann equation without angular cutoff
• On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
• Local solutions in gevrey classes to the nonlinear Boltzmann equation without cutoff
• On the Boltzmann equation for long-range interactions
• Some solutions of the Boltzmann equation without angular cutoff.

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