Existence and uniqueness of solutions for a three-dimensional thermoelastic system

Volume 406 / 2002

Irena Paw/low, Antoni /Zochowski Dissertationes Mathematicae 406 (2002), 1-46 MSC: 35Q72, 35K50, 35K60, 74B20. DOI: 10.4064/dm406-0-1

Abstract

A thermodynamically consistent model of shape memory alloys in three dimensions is studied. The thermoelastic system, based on the strain tensor, its gradient and the absolute temperature, is a generalization of the well-known one-dimensional Falk model. The key assumptions concerning the form of constitutive relations are discussed. The detailed and selfcontained proof of the global-in-time existence and uniqueness of solutions is presented.

Authors

  • Irena Paw/lowSystems Research Institute of the Polish Academy of Sciences
    Newelska 6
    01-447 Warszawa, Poland
    e-mail
  • Antoni /ZochowskiSystems Research Institute of the Polish Academy of Sciences
    Newelska 6
    01-447 Warszawa, Poland
    e-mail

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