Existence and uniqueness for the three-dimensional thermoelasticity system in shape memory problems
Volume 60 / 2003
Banach Center Publications 60 (2003), 319-335
MSC: 35Q72, 35K50, 35K60, 74B20
DOI: 10.4064/bc60-0-25
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.
