The coaxial gyrotron with two electron beams. I. Linear theory and nonlinear theory

2007 ◽  
Vol 14 (10) ◽  
pp. 103113 ◽  
Author(s):  
Shenggang Liu ◽  
Xuesong Yuan ◽  
Wengjie Fu ◽  
Yang Yan ◽  
Yaxin Zhang ◽  
...  
Keyword(s):  
Linear Theory ◽  
Nonlinear Theory ◽  
Electron Beams ◽  
Coaxial Gyrotron

Nonlinear Rayleigh–Taylor instability in hydromagnetics

1976 ◽  
Vol 15 (2) ◽  
pp. 239-244 ◽  
Author(s):  
G. L. Kalra ◽  
S. N. Kathuria
Keyword(s):  
Magnetic Field ◽  
Power Generation ◽  
Growth Rate ◽  
Linear Theory ◽  
Nonlinear Theory ◽  
Taylor Instability ◽  
Rayleigh Taylor Instability ◽  
Image Position

Nonlinear theory of Rayleigh—Taylor instability in plasma supported by a vacuum magnetic field shows that the growth rate of the mode, unstable in the linear theory, increases if the wavelength of perturbation π lies betweenand 2πcrit. This might have an important bearing on the proposed thermonuclear MHD power generation experiments.

Rayleigh–Taylor instability of a plasma in a magnetic field: nonlinear theory

1982 ◽  
Vol 27 (1) ◽  
pp. 129-134 ◽  
Author(s):  
Bhimsen K. Shivamoggi
Keyword(s):  
Magnetic Field ◽  
Nonlinear Analysis ◽  
Linear Theory ◽  
Nonlinear Theory ◽  
Multiple Scales ◽  
Method Of Multiple Scales ◽  
Taylor Instability ◽  
Rayleigh Taylor Instability ◽  
Linear Cut

Kaira & Kathuria used the method of multiple scales to develop nonlinear analysis of Rayleigh–Taylor instability of a plasma in a magnetic field. Their calculations remain valid only for wavenumbers k away from the linear cut-off value kc, and break down for wavenumbers near kc. The purpose of this paper is to treat the latter case. The solution uses the method of strained parameters. The results show the instability persists even at k = kc, despite the cut-off predicted by the linear theory.

Nonlinear effects in the squeezing spectrum of a parametric amplifier

1988 ◽  
Vol 66 (10) ◽  
pp. 854-858 ◽  
Author(s):  
H. R. Zaidi
Keyword(s):  
Linear Theory ◽  
Nonlinear Theory ◽  
Nonlinear Effects ◽  
Parametric Amplifier

A general nonlinear theory is formulated for the calculation of the squeezing spectrum of a parametric amplifier. The lowest order nonlinear corrections are calculated for both modes below the threshold, and the results are compared with linear theory. The corrections to the spectrum are found to be significant.

Gurtin-Type Quasi-Variational Principle of Intelligent Structure Based on Nonlinear Theory

2010 ◽  
Vol 148-149 ◽  
pp. 1291-1295 ◽  
Author(s):  
Zong Min Liu ◽  
Hai Yan Song ◽  
Ji Ze Mao
Keyword(s):  
Variational Principle ◽  
Research And Development ◽  
Linear Theory ◽  
Nonlinear Theory ◽  
High Performance ◽  
Hot Spot ◽  
Large Strain ◽  
High Strength ◽  
Intelligent Structure ◽  
Intelligent Material

Intelligent structure is consistently identified as one of techniques getting much attention in the 21 century. With the research and development of intelligent material with large strain, high strength and high performance, the study on the non-linear theory of intelligent structure is a hot spot for research in the future. Based on nonlinear theory, Gurtin-type quasi-variational principle of nonlinear intelligent structure is established in this paper. Finally, some correlative problems are discussed.

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