Browsing Mathematics, Statistics, and Physics by Subject "Partial differential equations"

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Numerical comparison of negative damping bounds in a specified domain when the wave speed varies

Najafi, M.; Sarhangi, G.R.; Sawan, M. Edwin (IEEE, 1992-06-24)

The energy decay of a self-excited wave equation utt - c2 Â¿ u - P(x)ut = 0 is studied where the wave speed c is greater than one, P(x) Â¿ 0, and P(x) LÂ¿(Â¿), Â¿ Â¿ Â¿ Rn. Moreover, the relationship between two bounds for ...
The stabilization of a linearized self-excited wave equation by an energy absorbing boundary

Sarhangi, G.R.; Najafi, M.; Wang, H. (IEEE, 1992-06-24)

We study the linrized self-excited wave quation tt - A £ -P(s) tg=0, where P(s)>0, P(r)eL(f), in a bounded domain 0cRI with smooth bounar r whee boun y dampig is prst. coniering the prtii Fr 1r.).of he bouM~ ron which ...