Asymptotics of the Riemann-Hilbert problem for the Somov model of magnetic reconnection of long shock waves

DOI10.1134/S0001434621110225zbMath1483.30073OpenAlexW4200135615WikidataQ114075405 ScholiaQ114075405MaRDI QIDQ2063674

V. I. Vlasov, S. I. Bezrodnykh

Publication date: 11 January 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621110225

zbMATH Keywords

Riemann-Hilbert problemexterior of a system of cutsPetschek modelSomov model

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25)

Related Items (5)

Analytic continuation of the Kampé de Fériet function and the general double Horn series ⋮ Formulas for analytic continuation of Horn functions of two variables ⋮ Constructing basises in solution space of the system of equations for the Lauricella Function F _D ^(N) ⋮ Conformal mapping of an \(L\)-shaped domain in analytical form ⋮ Formulas for computing the Lauricella function in the case of crowding of variables

Cites Work

• Plasma astrophysics. Part II. Reconnection and flares
• Singular Riemann-Hilbert problem in complex-shaped domains
• The Riemann-Hilbert problem in a complicated domain for a model of magnetic reconnection in a plasma
• Asymptotics of the Riemann-Hilbert problem for a magnetic reconnection model in plasma
• Magnetic reconnection via current sheets
• Magnetic Reconnection
• The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications
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