Asymptotics of the Riemann-Hilbert problem for a magnetic reconnection model in plasma

DOI10.1134/S0965542520110056zbMath1455.35259OpenAlexW3111222403MaRDI QIDQ2214609

S. I. Bezrodnykh, V. I. Vlasov

Publication date: 10 December 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520110056

zbMATH Keywords

conformal mappingRiemann-Hilbert problemasymptotics of solutionmagnetic reconnectionsingular deformation of domainSomov's modelSyrovatskii's current sheet

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Asymptotic expansions of solutions to PDEs (35C20) Magnetohydrodynamics and electrohydrodynamics (76W05) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Riemann-Hilbert problems in context of PDEs (35Q15) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) PDEs in connection with astronomy and astrophysics (35Q85)

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Cites Work

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• Plasma astrophysics. Part II. Reconnection and flares
• On a new representation for the solution of the Riemann-Hilbert problem
• Singular Riemann-Hilbert problem in complex-shaped domains
• Magnetic reconnection in plasmas
• The Riemann-Hilbert problem in a complicated domain for a model of magnetic reconnection in a plasma
• Finding the coefficients in the new representation of the solution of the Riemann-Hilbert problem using the Lauricella function
• Magnetic reconnection via current sheets
• Magnetic Reconnection
• The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications
• Integration of the Partial Differential Equations for the Hypergeometric Functions F1 and FD of Two and More Variables