Advances in Differential Equations

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

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

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


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

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

First available in Project Euclid: 2 January 2013

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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


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.

Export citation