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Biorthogonal Expansions for the Linearized Anisotropic Multifluid Warm Plasma Equations
Author(s) -
Sancer Maurice I.
Publication year - 1967
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1002/rds196728927
Subject(s) - eigenfunction , biorthogonal system , anisotropy , plasma , operator (biology) , mathematical analysis , mathematics , physics , relation (database) , eigenvalues and eigenvectors , quantum mechanics , computer science , chemistry , wavelet transform , artificial intelligence , wavelet , biochemistry , repressor , database , transcription factor , gene
A biorthogonality relation is presented between the eigenfunctions of the operator representing the linearized anisotropic multifluid description of a cylindrical warm plasma and the eigenfunctions of the corresponding adjoint operator. This biorthogonality relation is used to describe the solution to the plasma equations when the plasma is excited by general sources, as well as to decompose a known solution into the appropriate eigenfunction expansion.