Exponential stability of a flexible structure with history and thermal effect

Roberto Díaz; Jaime Muñoz; Carlos Martínez; Octavio Vera

Applications of Mathematics (2020)

  • Volume: 65, Issue: 4, page 407-420
  • ISSN: 0862-7940

Abstract

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In this paper we study the asymptotic behavior of a system composed of an integro-partial differential equation that models the longitudinal oscillation of a beam with a memory effect to which a thermal effect has been given by the Green-Naghdi model type III, being physically more accurate than the Fourier and Cattaneo models. To achieve this goal, we will use arguments from spectral theory, considering a suitable hypothesis of smoothness on the integro-partial differential equation.

How to cite

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Díaz, Roberto, et al. "Exponential stability of a flexible structure with history and thermal effect." Applications of Mathematics 65.4 (2020): 407-420. <http://eudml.org/doc/297220>.

@article{Díaz2020,
abstract = {In this paper we study the asymptotic behavior of a system composed of an integro-partial differential equation that models the longitudinal oscillation of a beam with a memory effect to which a thermal effect has been given by the Green-Naghdi model type III, being physically more accurate than the Fourier and Cattaneo models. To achieve this goal, we will use arguments from spectral theory, considering a suitable hypothesis of smoothness on the integro-partial differential equation.},
author = {Díaz, Roberto, Muñoz, Jaime, Martínez, Carlos, Vera, Octavio},
journal = {Applications of Mathematics},
keywords = {exponential stability; dissipative system; flexible structure; functional analysis},
language = {eng},
number = {4},
pages = {407-420},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Exponential stability of a flexible structure with history and thermal effect},
url = {http://eudml.org/doc/297220},
volume = {65},
year = {2020},
}

TY - JOUR
AU - Díaz, Roberto
AU - Muñoz, Jaime
AU - Martínez, Carlos
AU - Vera, Octavio
TI - Exponential stability of a flexible structure with history and thermal effect
JO - Applications of Mathematics
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 65
IS - 4
SP - 407
EP - 420
AB - In this paper we study the asymptotic behavior of a system composed of an integro-partial differential equation that models the longitudinal oscillation of a beam with a memory effect to which a thermal effect has been given by the Green-Naghdi model type III, being physically more accurate than the Fourier and Cattaneo models. To achieve this goal, we will use arguments from spectral theory, considering a suitable hypothesis of smoothness on the integro-partial differential equation.
LA - eng
KW - exponential stability; dissipative system; flexible structure; functional analysis
UR - http://eudml.org/doc/297220
ER -

References

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