Regularization of singular eigenfunctions of an operator with continuous spectra: With applications for ballooning modes in toroidally rotating tokamaks

Journal Article · Fri Jul 15 00:00:00 EDT 2005 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.1953591· OSTI ID:20764405

Furukawa, M; Yoshida, Z; Tokuda, S ^[1]

---

1. Graduate School of Frontier Sciences, University of Tokyo, Kashiwa, Chiba 277-8561 (Japan)

Eigenfunction expansions of fields encounter practical difficulty when the generating operator has continuous spectra (as is common in magnetohydrodynamics theories). An appropriate ''weight function'' may remove the singularity of the eigenfunctions belonging to the continuous spectrum and the complete set of regularized (square-integrable) eigenfunctions can be obtained. As an example, this method has been applied for ballooning modes in toroidally rotating tokamaks. While the weight function truncates the long-term behavior of modes, the regularized eigenfunctions can describe transient behavior within a finite time.

• OSTI ID: 20764405
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 7 Vol. 12; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BALLOONING INSTABILITY
CHARGED-PARTICLE TRANSPORT
EIGENFUNCTIONS
EIGENVALUES
HYDROMAGNETIC WAVES
MAGNETOHYDRODYNAMICS
MATHEMATICAL OPERATORS
PLASMA
SINGULARITY
TOKAMAK DEVICES
TRANSIENTS
WEIGHTING FUNCTIONS