On constant-alpha force-free fields in a torus

DOI10.1007/BF00044609zbMath0637.76121MaRDI QIDQ1098720

Rainer Kress

Publication date: 1986

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessboundary integral equationboundary-value problemdoubly connected domainsboundary of a torusConstant-alpha force-free magnetic fields

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Partial differential equations of mathematical physics and other areas of application (35Q99) Integral equations with kernels of Cauchy type (45E05)

Related Items (7)

On the numerical solution of a boundary value problem in the plane elasticity for a double-connected domain ⋮ A Graph-Based Algorithm for the Approximation of the Spectrum of the Curl Operator ⋮ Finite element approximation of the spectrum of the curl operator in a multiply connected domain ⋮ Debye Sources, Beltrami Fields, and a Complex Structure on Maxwell Fields ⋮ About the eigenfunctions of the curl-operator ⋮ An integral equation-based numerical solver for Taylor states in toroidal geometries ⋮ High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A boundary integral equation method for a Neumann boundary problem for force-free fields
• On an integral equation in electromagnetic diffraction theory
• Über eine Methode zum räumlichen Neumannschen Problem mit einer Anwendung für torusartige Berandungen
• On an exterior boundary‐value problem for the time‐harmonic maxwell equations with boundary conditions for the normal components of the electric and magnetic field
• Über das Verhalten elektromagnetischer Felder für kleine Frequenzen in mehrfach zusammenhängenden Gebieten. I. Innenraumprobleme.
• Elliptic Partial Differential Equations of Second Order
• The treatment of a Neumann boundary value problem for force-free fields by an integral equation method

This page was built for publication: On constant-alpha force-free fields in a torus