A spectral study of an infinite axisymmetric elastic layer
ESAIM: Mathematical Modelling and Numerical Analysis (2010)
- Volume: 35, Issue: 5, page 849-863
- ISSN: 0764-583X
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topChorfi, Lahcène. "A spectral study of an infinite axisymmetric elastic layer." ESAIM: Mathematical Modelling and Numerical Analysis 35.5 (2010): 849-863. <http://eudml.org/doc/197502>.
@article{Chorfi2010,
abstract = {
We present here a theoretical study of eigenmodes
in
axisymmetric elastic layers.
The mathematical modelling allows us to bring this problem to a spectral
study
of a sequence of unbounded self-adjoint operators An, $n\in \mathbb\{N\}$, in a
suitable
Hilbert space. We show that the essential spectrum of An is an interval
of
type $[\gamma,+\infty[$ and that, under certain conditions on the
coefficients
of the medium, the discrete spectrum is non empty.
},
author = {Chorfi, Lahcène},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Elasticity; axisymmetry; eigenmodes; min-max principle.; elasticity; axisymmetric layer; waves; spectral theory; eigenvalues; Hilbert spaces},
language = {eng},
month = {3},
number = {5},
pages = {849-863},
publisher = {EDP Sciences},
title = {A spectral study of an infinite axisymmetric elastic layer},
url = {http://eudml.org/doc/197502},
volume = {35},
year = {2010},
}
TY - JOUR
AU - Chorfi, Lahcène
TI - A spectral study of an infinite axisymmetric elastic layer
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 35
IS - 5
SP - 849
EP - 863
AB -
We present here a theoretical study of eigenmodes
in
axisymmetric elastic layers.
The mathematical modelling allows us to bring this problem to a spectral
study
of a sequence of unbounded self-adjoint operators An, $n\in \mathbb{N}$, in a
suitable
Hilbert space. We show that the essential spectrum of An is an interval
of
type $[\gamma,+\infty[$ and that, under certain conditions on the
coefficients
of the medium, the discrete spectrum is non empty.
LA - eng
KW - Elasticity; axisymmetry; eigenmodes; min-max principle.; elasticity; axisymmetric layer; waves; spectral theory; eigenvalues; Hilbert spaces
UR - http://eudml.org/doc/197502
ER -
References
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