scholarly journals Generalization of DT Equations for Time Dependent Sources

Sensors ◽  
2010 ◽  
Vol 10 (12) ◽  
pp. 10828-10836 ◽  
Author(s):  
Lorenzo Neri ◽  
Salvatore Tudisco ◽  
Francesco Musumeci ◽  
Agata Scordino ◽  
Giorgio Fallica ◽  
...  
2009 ◽  
Vol 395 (3) ◽  
pp. 1403-1408 ◽  
Author(s):  
S. Mendoza ◽  
J. C. Hidalgo ◽  
D. Olvera ◽  
J. I. Cabrera

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Brad Cownden

Abstract We extend the study of the non-linear perturbative theory of weakly turbulent energy cascades in AdSd+1 to include solutions of driven systems, i.e. those with time-dependent sources on the AdS boundary. This necessitates the activation of non-normalizable modes in the linear solution for the massive bulk scalar field, which couple to the metric and normalizable scalar modes. We determine analytic expressions for secular terms in the renormalization flow equations mass values $$ {m}_{BF}^2<{m}^2\le 0 $$ m BF 2 < m 2 ≤ 0 , and for various driving functions. Finally, we numerically evaluate these sources for d = 4 and discuss what role these driven solutions play in the perturbative stability of AdS.


2015 ◽  
Vol 4 (2) ◽  
pp. 9 ◽  
Author(s):  
J. Benoit ◽  
P. Bonnet ◽  
C. Chauvière ◽  
S. Girard

This paper is devoted to introduce an extension to the Linear Combination of Configuration Fields (LCCF). This new numerical method was designed to compute the time profile of an electromagnetic source radiating a specified electromagnetic field in all or part of the computational domain, for a specified duration. Here, we extend this idea within the framework of a transmission lines network. The principle of the method is first validated numerically. Then we prospect the same ideas in a real-data experiment which shows that the method is ready for real-life investigations.


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