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.
Citation
Jaime E. Mu{\~n}oz Rivera. Reinhard Racke. "Magneto-thermo-elasticity---large-time behavior for linear systems." Adv. Differential Equations 6 (3) 359 - 384, 2001. https://doi.org/10.57262/ade/1357141215
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