Existence and uniqueness for the three-dimensional thermoelasticity system in shape memory problems
Irena Pawłow ; Antoni Żochowski
Banach Center Publications, Tome 60 (2003), p. 319-335 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:282321 
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     author = {Irena  Paw\l ow and Antoni  \.Zochowski},
     title = {Existence and uniqueness for the three-dimensional thermoelasticity system in shape memory problems},
     journal = {Banach Center Publications},
     volume = {60},
     year = {2003},
     pages = {319-335},
     zbl = {1045.35098},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc60-0-25}
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Irena  Pawłow; Antoni  Żochowski. Existence and uniqueness for the three-dimensional thermoelasticity system in shape memory problems. Banach Center Publications, Tome 60 (2003) pp. 319-335. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc60-0-25/