Hilbert problem for a multiply connected circular domain and the analysis of the Hall effect in a plate

DOI10.1090/S0033-569X-2010-01189-1zbMath1202.30064arXiv0912.0696MaRDI QIDQ3586735

V. V. Sil'vestrov, Yuri A. Antipov

Publication date: 1 September 2010

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0696

zbMATH Keywords

Riemann-Hilbert problemHall effectSchottky groupautomorphic functions

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Boundary value problems in the complex plane (30E25)

Uses Software

• Schwarz-Christoffel
• SC Toolbox

Cites Work

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• Conformal mapping solution of Laplace's equation on a polygon with oblique derivative boundary conditions
• Riemann-Hilbert problem for automorphic functions and the Schottky-Klein prime function
• The problem of Schwarz for multiply connected circular domains
• Schwarz-Christoffel mapping of multiply connected domains
• Circular map for supercavitating flow in a multiply connected domain
• Schwarz-Christoffel Mapping
• Method of automorphic functions in the study of flow around a stack of porous cylinders
• The Schwarz–Christoffel mapping to bounded multiply connected polygonal domains
• Electromagnetic scattering from an anisotropic impedance half-plane at oblique incidence: the exact solution
• Solution of the Field Problem of the Germanium Gyrator

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