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

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1999
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Muñoz Rivera, Jaime E.
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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.

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510 Mathematik
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ISO 690MUÑOZ RIVERA, Jaime E., Reinhard RACKE, 1999. Magneto-thermo-elasticity : large time behavior for linear systems
BibTex
@unpublished{MunozRivera1999Magne-562,
  year={1999},
  title={Magneto-thermo-elasticity : large time behavior for linear systems},
  author={Muñoz Rivera, Jaime E. and Racke, Reinhard}
}
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