@misc{Pawłow_Irena_Unique_2002,
 author={Pawłow, Irena and Zajączkowski, Wojciech},
 copyright={Creative Commons Attribution BY 4.0 license},
 address={Warszawa},
 journal={Raport Badawczy = Research Report},
 howpublished={online},
 year={2002},
 publisher={Instytut Badań Systemowych. Polska Akademia Nauk},
 publisher={Systems Research Institute. Polish Academy of Sciences},
 language={eng},
 abstract={The paper is concerned with initial-boundary value problem in two-dimensional nonlinear thermoelasticity which arises as a mathematical model of shape memory materials. The problem has the form of viscoelasticity system with capillarity coupled with heat conducstion equation with mechanical dissipation. The corresponding elastic energy is a nonconvex multiple-weel function of strain, with the shape changing qualitatively with temperature. Under assumption on the growth of this energy with respect to temperature, the existence and uniqueness of a global-in-time solutions for large data has been proven. The existence proof is based on parabolic decomposition of the elastiity system and application of the Leray-Schauder fixed point theorem. The main part of the proof consists in deriving Holder a priori estimates by succesive improvement of energy estimates.},
 type={Text},
 title={Unique Global Solvability in Two-Dimensional Nonlinear Termoelasticity},
 URL={http://www.rcin.org.pl/Content/139447/PDF/RB-2002-12.pdf},
 keywords={Global existence, Globalna egzystencja, Parabolic regularization, Paraboliczna regularyzacja, Non- linear thermoelasticity},
}