Global classical solutions of the Boltzmann equation without angular cut-off

DOI10.1090/S0894-0347-2011-00697-8zbMath1248.35140arXiv1011.5441WikidataQ55966663 ScholiaQ55966663MaRDI QIDQ3011041

Robert M. Strain, Philip T. Gressman

Publication date: 27 June 2011

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.5441

zbMATH Keywords

fractional derivativesBoltzmann equationanisotropyharmonic analysiskinetic theorylong-range interactionhard potentialssoft potentialsnon-cut-off

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Fractional derivatives and integrals (26A33) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Subelliptic equations (35H20) Fractional partial differential equations (35R11) Boltzmann equations (35Q20) PDEs in connection with statistical mechanics (35Q82)

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