Advances in Differential Equations

Magneto-thermo-elasticity---large-time behavior for linear systems

Jaime E. Mu{\~n}oz Rivera and Reinhard Racke

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Abstract

Initial and initial-boundary value problems for linearized magneto-thermo-elastic models are considered. For the Cauchy problem in three space dimensions, a polynomial rate of decay as time tends to infinity is proved. In bounded domains a boundary condition of memory type is considered for the displacement. When the relaxation function satisfies dissipative properties and decays exponentially, we show that the solution of the magneto-thermo-elastic system decays exponentially. When the relaxation function decays polynomially, it is proved that the solution decays polynomially. Energy methods are used.

Article information

Source
Adv. Differential Equations Volume 6, Number 3 (2001), 359-384.

Dates
First available in Project Euclid: 2 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.ade/1357141215

Mathematical Reviews number (MathSciNet)
MR1799490

Zentralblatt MATH identifier
1023.74017

Subjects
Primary: 74H10: Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.)
Secondary: 35B40: Asymptotic behavior of solutions 35Q72 74F05: Thermal effects 74F15: Electromagnetic effects

Citation

Mu{\~n}oz Rivera, Jaime E.; Racke, Reinhard. Magneto-thermo-elasticity---large-time behavior for linear systems. Adv. Differential Equations 6 (2001), no. 3, 359--384. https://projecteuclid.org/euclid.ade/1357141215.


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