Stationary-phase method for Hankel transform of order zero

DOI10.1134/S1061920819040095zbMath1447.82030OpenAlexW2996207188WikidataQ126531086 ScholiaQ126531086MaRDI QIDQ2304181

S. A. Stepin, A. G. Tarasov

Publication date: 6 March 2020

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920819040095

zbMATH Keywords

asymptotic expansionHankel transformnon-relativistic limitcollisionless plasmaradiation dampingrarefied plasmaretarded relativistic Vlasov-Maxwell system

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Theoretical approximation in context of PDEs (35A35) Special relativity (83A05) PDEs in connection with relativity and gravitational theory (35Q75) Statistical mechanics of plasmas (82D10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Waves and radiation in optics and electromagnetic theory (78A40) Vlasov equations (35Q83)

Cites Work

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• Dory-Guest-Harris instability as a benchmark for continuum kinetic Vlasov-Poisson simulations of magnetized plasmas
• A novel approach for the determination of asymptotic expansions of certain oscillatory integrals
• Asymptotic expansion of a class of integral transforms with algebraically dominated kernels
• Asymptotic expansion of the Hankel transform with explicit remainder terms
• A method for the asymptotic estimation of integrals

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