Stability of the weakly coupled wave system with hybrid boundary conditions

Author(s):  
Xianzheng Zhu
Author(s):  
Songlin CHEN

The problem of solving equations for a class of coupled wave equations with initial-boundary conditions is discussed by using the results for the problem with initial value in this paper. A coupled wave equations which defined in semi-infinite interval and finite interval are studied respectively, the d’Alembert type traveling wave solutions with finite closed form of the corresponding problems are obtained and the examples are given. This research generalize the corresponding results for single wave equation and .avoid the traditional Fourior series solution.


2018 ◽  
Vol 17 (2) ◽  
pp. 593-604
Author(s):  
Jason Metcalfe ◽  
◽  
David Spencer ◽  

2020 ◽  
Author(s):  
Wen-Xiang Chen

According to traditional theory, the Schwarzschild black hole does not produce superradiation. If the boundary conditions are set up in advance, this possibility will be combined with the boson-coupled wave function in the Schwarzschild black hole, where the incident boson will have a mirrored mass, so even the Schwarzschild black hole can generate superradiation phenomena.Recently, an article of mine obtained interesting results about the Schwarzschild black hole can generate superradiation phenomena. The result contains some conclusions that violate the "no-hair theorem". We know that the phenomenon of black hole superradiation is a process of entropy reduction I found that the weak cosmic censorship conjecture may be violated.


2009 ◽  
Vol 10 (2) ◽  
Author(s):  
C.A. Raposo ◽  
W.D. Bastos

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