Existence and uniqueness for the three-dimensional thermoelasticity system in shape memory problems

Irena Pawłow; Antoni Żochowski

Banach Center Publications (2003)

  • Volume: 60, Issue: 1, page 319-335
  • ISSN: 0137-6934

Abstract

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A thermodynamically consistent model of shape memory alloys in three dimensions is studied. The thermoelasticity system, based on the strain tensor, its gradient and the absolute temperature, generalizes the well-known one-dimensional Falk model. Under simplifying structural assumptions we prove global in time existence and uniqueness of the solution.

How to cite

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Irena Pawłow, and Antoni Żochowski. "Existence and uniqueness for the three-dimensional thermoelasticity system in shape memory problems." Banach Center Publications 60.1 (2003): 319-335. <http://eudml.org/doc/282321>.

@article{IrenaPawłow2003,
abstract = {A thermodynamically consistent model of shape memory alloys in three dimensions is studied. The thermoelasticity system, based on the strain tensor, its gradient and the absolute temperature, generalizes the well-known one-dimensional Falk model. Under simplifying structural assumptions we prove global in time existence and uniqueness of the solution.},
author = {Irena Pawłow, Antoni Żochowski},
journal = {Banach Center Publications},
keywords = {phase transitions; shape memory alloys; thermoelasticity; global in time existence and uniqueness},
language = {eng},
number = {1},
pages = {319-335},
title = {Existence and uniqueness for the three-dimensional thermoelasticity system in shape memory problems},
url = {http://eudml.org/doc/282321},
volume = {60},
year = {2003},
}

TY - JOUR
AU - Irena Pawłow
AU - Antoni Żochowski
TI - Existence and uniqueness for the three-dimensional thermoelasticity system in shape memory problems
JO - Banach Center Publications
PY - 2003
VL - 60
IS - 1
SP - 319
EP - 335
AB - A thermodynamically consistent model of shape memory alloys in three dimensions is studied. The thermoelasticity system, based on the strain tensor, its gradient and the absolute temperature, generalizes the well-known one-dimensional Falk model. Under simplifying structural assumptions we prove global in time existence and uniqueness of the solution.
LA - eng
KW - phase transitions; shape memory alloys; thermoelasticity; global in time existence and uniqueness
UR - http://eudml.org/doc/282321
ER -

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