Skip to main content
SpringerLink
Log in

Polynomial Stability to Three-Dimensional Magnetoelastic Waves

  • Published:
Acta Applicandae Mathematica Aims and scope Submit manuscript

Abstract

In this work we show that the energy associated to the linear three-dimensional magneto-elastic system decays polynomially to zero as time goes to infinity, provided the initial data is smooth enough.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Andreou, E. and Dassios, G.: Dissipation of energy for magnetoelastic waves in a conductive medium, Quart.Appl.Math. 55 (1997), 23–39.

    Google Scholar 

  2. Duvaut, G. and Lions, J. L.: Inequalities in Mechanics and Physics, Grundlehren Math. Wiss. 216, Springer-Verlag, Berlin, 1976.

    Google Scholar 

  3. Erigen, C. A. and Maugin, G. A.: Eletrodynamics of Continua I, Springer-Verlag, New York, 1990.

    Google Scholar 

  4. Koch, H.: Slow decay in linear thermoelasticity, Quart.J.Appl.Math. 57(4) (2000), 601–612.

    Google Scholar 

  5. Lebeau, G. and Zuazua, E.: Decay rates for the three-dimensional linear system of thermoelasticity, Arch.Rat.Mech.Anal. 145 (1999), 179–231.

    Google Scholar 

  6. Leis, R.: Initial Boundary Value Problems in Mathematical Physics, B. G. Teubner-Verlag, Stuttgart; Wiley, Chichester, 1986.

    Google Scholar 

  7. Muñoz Rivera, J. E. and Racke, R.: Magneto-thermoelasticity-large time behavior for linear system, Adv.Differential Equations 6 (2001), 359–384.

    Google Scholar 

  8. Muñoz Rivera, J. E. and Racke, R.: Polynomial stability in two-dimensional magneto-elasticity, IMA J.Appl.Math. 66 (2001), 269–283.

    Google Scholar 

  9. Pazy, A.: Semigroups of Linear Operators and Applications to Partial Diferential Equations, Springer, New York, 1983.

    Google Scholar 

  10. Perla Menzala, G. and Zuazua, E.: Energy decay of magnetoelastic waves in a bounded conductive medium, Asymptot.Anal. 18 (1998), 349–362.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Research and Development, National Laboratory for Scientific Computation, Rua Getulio Vargas 333, Quitandinha, CEP 25651-070, Petropolis, RJ, and UFRJ, Rio de Janeiro, Brasil

    Jaime E. Muñoz Rivera

  2. Departamento de Matemática, Universidade Federal do Pará, Campus Universitário do Guamá, Rua Augusto Corrêa No. 1, CEP 66075-110, Pará, Brasil

    Mauro de Lima Santos

Authors
  1. Jaime E. Muñoz Rivera
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mauro de Lima Santos
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Muñoz Rivera, J.E., de Lima Santos, M. Polynomial Stability to Three-Dimensional Magnetoelastic Waves. Acta Applicandae Mathematicae 76, 265–281 (2003). https://doi.org/10.1023/A:1023223517930

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1023223517930

Search

Navigation