Global solutions in one-dimensional magneto-thermoviscoelasticity

Author:

Sprekels Jürgen

Abstract

Global smooth solutions are shown to exist for the system governing magneto-thermoviscoelastic phenomena in an electrically and thermally conducting isotropic solid immersed in an electromagnetic field. It is assumed that displacement currents are negligible, and that all field quantities depend on one space variable only; Joule heating is included.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

Reference9 articles.

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

2. Steady-state problems of nonlinear electro-magneto-thermo-elasticity

3. Pego R. L. 1986 Phase transitions: stability and admissibility in one-dimensional nonlinear viscoelasticity. Preprint. No. 180 IMA, University of Minnesota.

4. On magneto-thermo-elastic plane waves

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