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On existence and uniqueness in incremental thermoelasticity

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Summary

Existence and uniqueness of solutions to the evolution equations which govern small thermoelastic deformations superposed on a general non-linear thermomechanical deformation is investigated. The problem is solved by means of the semigroup theory applied to the abstract temporally inhomogeneous equation arising in this case.

Résumé

On étudie l'existence et l'unicité des solutions des équations qui gouvernent les petites déformations thermoélastiques superposés à un procés thermomécanique non linéaire général. Le problème est résolu à l'aide de la théorie des semigroupes apliquée à l'équation abstraite non homogène.

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Authors and Affiliations

  1. Dept. de Matemàtiques i Estadistica, Escola Tècnica Superior d'Arquitectura, Universitat Politècnica de Barcelona, Spain

    C. B. Navarro & R. Quintanilla

Authors
  1. C. B. Navarro
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  2. R. Quintanilla
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Navarro, C.B., Quintanilla, R. On existence and uniqueness in incremental thermoelasticity. Z. angew. Math. Phys. 35, 206–215 (1984). https://doi.org/10.1007/BF00947933

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  • DOI: https://doi.org/10.1007/BF00947933

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