Optimal Energy Decay Rate in a Damped Rayleigh Beam.
Rao, Bopeng
HAL, hal-00129564 / Harvested from HAL
Text on HAL
We consider a clamped Rayleigh beam subject to a positive viscous damping. Using an explicit approximation, we first give the asymptotic expansion of eigenvalues and eigenfunctions of the underlying system. We next identify the optimal energy decay rate of the system with the supremum of the real part of the spectrum of the infinitesimal generator of the associated semigroup.
Publié le : 1997-12-18
Classification:  Riesz basis,  optimal decay,  "Riesz basis,  optimal decay",  35P10, 93D15,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00129564,
     author = {Rao, Bopeng},
     title = {Optimal Energy Decay Rate in a Damped Rayleigh Beam.},
     journal = {HAL},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00129564}
}

Rao, Bopeng. Optimal Energy Decay Rate in a Damped Rayleigh Beam.. HAL, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/hal-00129564/