@misc{Pawłow_Irena_Global_2003, author={Pawłow, Irena and Zajączkowski, Wojciech}, copyright={Creative Commons Attribution BY 4.0 license}, address={Warszawa}, journal={Raport Badawczy = Research Report}, howpublished={online}, year={2003}, publisher={Instytut Badań Systemowych. Polska Akademia Nauk}, publisher={Systems Research Institute. Polish Academy of Sciences}, language={eng}, abstract={The paper is concerned with the unique global solvability of a three-dimensional (3-D) nonlinear thermoelasticity system arising from the study of shape memory materials. The system consists of the coupled evolutionary problems of viscoelasticity with nonconvex elastic energy and nonlinear heat conduction with mechanical dissipation.The present paper extends the previous 2-D existence result to 3-D case. This goal is achieved by means of the Leray-Schauder fixed point theorem using technique based on energy arguments and DeGiorgi method.}, title={Global Existence to a Three-Dimensional Nonlinear Thermoelasticity System Arising in Shape Memory Materials}, type={Text}, URL={http://rcin.org.pl/Content/139505/PDF/RB-2003-01.pdf}, keywords={Nonconvex energy, Nieliniowa termoelastyczność, Global existence, Globalne istnienie, Non- linear thermoelasticity, Non-convex energy, Energy estimates}, }