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Nonlinear instabilities relating to negative-energy modes

Technical Report:

Abstract

The nonlinear instability of general linearly stable systems allowing linear negative-energy perturbations is investigated with the aid of a multiple time scale formalism. It is shown that the basic equations thus obtained imply resonance conditions and possess inherent symmetries which lead to the existence of similarity solutions of these equations. These solutions can be of an explosive type, oscillatory or static. It is demonstrated that at least some of the oscillatory and static solutions are normally linearly unstable. (orig.). 5 figs.
Authors:
Publication Date:
Mar 01, 1993
Product Type:
Technical Report
Report Number:
IPP-6/313
Reference Number:
SCA: 700340; PA: DEN-94:0F0659; EDB-94:027877; ERA-19:007826; NTS-94:015643; SN: 94001136106
Resource Relation:
Other Information: PBD: Mar 1993
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; PLASMA INSTABILITY; NONLINEAR PROBLEMS; RESONANCE; EXPLOSIVE INSTABILITY; OSCILLATIONS; 700340; PLASMA WAVES, OSCILLATIONS, AND INSTABILITIES
OSTI ID:
10119778
Research Organizations:
Max-Planck-Institut fuer Plasmaphysik, Garching (Germany)
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Other: ON: DE94734000; TRN: DE94F0659
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
26 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Pfirsch, D. Nonlinear instabilities relating to negative-energy modes. Germany: N. p., 1993. Web.
Pfirsch, D. Nonlinear instabilities relating to negative-energy modes. Germany.
Pfirsch, D. 1993. "Nonlinear instabilities relating to negative-energy modes." Germany.
@misc{etde_10119778,
title = {Nonlinear instabilities relating to negative-energy modes}
author = {Pfirsch, D}
abstractNote = {The nonlinear instability of general linearly stable systems allowing linear negative-energy perturbations is investigated with the aid of a multiple time scale formalism. It is shown that the basic equations thus obtained imply resonance conditions and possess inherent symmetries which lead to the existence of similarity solutions of these equations. These solutions can be of an explosive type, oscillatory or static. It is demonstrated that at least some of the oscillatory and static solutions are normally linearly unstable. (orig.). 5 figs.}
place = {Germany}
year = {1993}
month = {Mar}
}