Free-boundary high-beta tokamaks. II. Mathematical intermezzo: Hilbert transforms and conformal mapping

DOI10.1063/1.863697zbMath0497.76099OpenAlexW2059097317MaRDI QIDQ3962717

J. P. Goedbloed

Publication date: 1982

Published in: The Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.863697

zbMATH Keywords

conformal mappingmoving boundaryfast Fourier transformationstability problemMoebius transformationGreen's theorempressure balanceconducting shellnonlinear partHenrici's methodpoloidal field pressurediscretized Hilbert transformssharp-boundaryskin currentsTheodorsen and Garrick nonlinear integral equationstoroidal free-boundary high-beta tokamak equilibriumtwo-dimensional potential flow with discontinuity

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (3)

Orthogonal and conformal mapping with application to MHD equilibrium and stability calculations ⋮ Expansion functions for two-dimensional incompressible fluid flow in arbitrary domains ⋮ Solution of the Poisson equation in an annulus

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