The asymptotic analyses of non-linear waves in magneto-thermoelastic solids with thermal relaxation

  • Antonino Valenti
Original Papers


We investigate the magneto-thermoelastic model with one-dimensional deformation proposed in [1] when Fourier's law is replaced by Cattaneo's Eq. [4]. By means of an asymptotic analysis, we point out the main features of the non-linear wave processes related to different hypotheses based on the order of magnitude of physical parameters connected to thermal relaxation, heat and electrical conduction. In the various cases we obtain the evolution equations which govern the wave amplitude.


Fourier Electrical Conduction Evolution Equation Alla Physical Parameter 
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In questa Nota si prende in esame il modello della magneto-thermoelasticità con deformazioni undimensionali proposto in [1], sostituendo peró alla legge di Fourier l'equazione di Cattaneo [4]. Facendo uso di metodi perturbativi, si mette in evidenza il carattere dei processi ondosi non-lineari connessi con different ipotesi sugli ordini di grandezza dei parametri fisici legati alla conduzione del calore, al rilassamento termico e alla conducibilità elettrica finita. Nei vari casi si deducono le equazioni di evoluzione che governano l'ampiezza d'onda.


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Copyright information

© Birkhäuser Verlag Basel 1988

Authors and Affiliations

  • Antonino Valenti
    • 1
  1. 1.Dipartimento di MatematicaUniversità di CataniaCataniaItaly

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