scholarly journals Steepest-descent moment method for three-dimensional magnetohydrodynamic equilibria

1983 ◽  
Vol 26 (12) ◽  
pp. 3553 ◽  
Author(s):  
S. P. Hirshman
1989 ◽  
Vol 77 (5) ◽  
pp. 750-760 ◽  
Author(s):  
R.D. Graglia ◽  
P.L.E. Uslenghi ◽  
R.S. Zich

2014 ◽  
Vol 23 (01) ◽  
pp. 1450007
Author(s):  
R. CARTAS-FUENTEVILLA

We determine the more general geometrical flow in the space of metrics corresponding to the steepest descent for the three-dimensional gravitational Chern–Simons action, extending the results considered recently by Özgür Kisisel et al. [Class. Quantum Grav.25 (2008) 165019].


1991 ◽  
Vol 226 ◽  
pp. 573-590 ◽  
Author(s):  
Feng Jiang

This paper examines the three-dimensional wave packets which are generated by an initially localized pulse disturbance in an incompressible parallel flow and described by a double Fourier integral in the wavenumber space. It aims to clear up some confusion arising from the asymptotic evaluation of this integral by the method of steepest descent. In this asymptotic analysis, the calculation of the eigenvalues can be facilitated by making use of the Squire transformation. It is demonstrated that the use of the Squire transformation introduces branch points in the saddle-point equation that links the physical coordinates to the saddle-point value, regardless of whether the flow is viscous or inviscid. It is shown that the correct branch should be chosen according to the principle of analytic continuation. The saddle-point values for the three-dimensional problem should be considered to be the analytic continuation of those for the two-dimensional case where the saddle-point values can be uniquely determined. The three-dimensional wave packets in an inviscid wake flow are examined; their behaviour at large time is calculated asymptotically by the method of steepest descent in terms of the two-dimensional eigenvalue relation.


The Analyst ◽  
2015 ◽  
Vol 140 (2) ◽  
pp. 630-636 ◽  
Author(s):  
Bao Qiong Li ◽  
Jing Chen ◽  
Jiao Jiao Li ◽  
Xue Wang ◽  
Hong Lin Zhai

A Tchebichef moment method was proposed and used to successfully quantify four compounds based on 3D HPLC-PAD spectra.


Talanta ◽  
2016 ◽  
Vol 161 ◽  
pp. 99-104 ◽  
Author(s):  
Jing Chen ◽  
Bao Qiong Li ◽  
Min Li Xu ◽  
Xue Wang ◽  
Yu Hong Jing ◽  
...  

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