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

Irena Pawłow; Antoni Żochowski

  • 2002

Abstract

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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.

How to cite

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Irena Pawłow, and Antoni Żochowski. Existence and uniqueness of solutions for a three-dimensional thermoelastic system. 2002. <http://eudml.org/doc/285973>.

@book{IrenaPawłow2002,
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.},
author = {Irena Pawłow, Antoni Żochowski},
keywords = {shape memory allows; Falk model; constitutive relations; global-in-time existence and uniqueness},
language = {eng},
title = {Existence and uniqueness of solutions for a three-dimensional thermoelastic system},
url = {http://eudml.org/doc/285973},
year = {2002},
}

TY - BOOK
AU - Irena Pawłow
AU - Antoni Żochowski
TI - Existence and uniqueness of solutions for a three-dimensional thermoelastic system
PY - 2002
AB - 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.
LA - eng
KW - shape memory allows; Falk model; constitutive relations; global-in-time existence and uniqueness
UR - http://eudml.org/doc/285973
ER -

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