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Stabilization of a thermoelastic diffusion system of type II damped and delayed

Stabilization of a thermoelastic diffusion system of type II damped and delayed The present paper is devoted to the study of exponential stabilization of a one-dimensional thermoelastic diffusion problem of type II for isotropic and homogeneous materials with frictional damping and time delay. The system of equations under consideration is a coupling of three hyperbolic equations involving three variables considering frictional damping and time delay on each variable. Using semigroup theory, we prove the well-posedness by the Lumer–Phillips theorem and the exponential stability by exploring the dissipative properties of the linear operator associated with the model through the Gearhart–Huang–Pruss theorem. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applicable Analysis Taylor & Francis

Stabilization of a thermoelastic diffusion system of type II damped and delayed

18 pages

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References (18)

Publisher
Taylor & Francis
Copyright
© 2023 Informa UK Limited, trading as Taylor & Francis Group
ISSN
0003-6811
eISSN
1563-504X
DOI
10.1080/00036811.2023.2214975
Publisher site
See Article on Publisher Site

Abstract

The present paper is devoted to the study of exponential stabilization of a one-dimensional thermoelastic diffusion problem of type II for isotropic and homogeneous materials with frictional damping and time delay. The system of equations under consideration is a coupling of three hyperbolic equations involving three variables considering frictional damping and time delay on each variable. Using semigroup theory, we prove the well-posedness by the Lumer–Phillips theorem and the exponential stability by exploring the dissipative properties of the linear operator associated with the model through the Gearhart–Huang–Pruss theorem.

Journal

Applicable AnalysisTaylor & Francis

Published: Mar 23, 2024

Keywords: Thermoelastic system; thermodiffusion; functional partial differential equations; exponential stability; 35B35; 35R10; 35Q99

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