@misc{Pawłow_Irena_New_2005, author={Pawłow, Irena}, copyright={Creative Commons Attribution BY 4.0 license}, address={Warszawa}, journal={Raport Badawczy = Research Report}, howpublished={online}, year={2005}, publisher={Instytut Badań Systemowych. Polska Akademia Nauk}, publisher={Systems Research Institute. Polish Academy of Sciences}, language={eng}, abstract={The paper presents a new existence result for three-dimensional (3-D) shape memory model which has the form of a nonlinear thermoelastic­ity system with viscosity ν > 0 and capillarity ϰ > 0. In contrast to the previous authors results, proved under assumption 0 < 2 ϰ1/2 < ν, here we admit ϰ > 0 and ν > 0 possibly arbitrarily small. With such as­sumption the obtained existence result becomes more adequate for shape memory problems where viscosity effects are negligible small. Moreover, a broader class of boundary conditions is considered. The solvability analysis of the initial-boundary-value problems for viscoelasticity system with capillarity is also presented.}, type={Text}, title={New Existence Result for 3-D Shape Memory Model}, URL={http://rcin.org.pl/Content/139682/PDF/RB-2005-63.pdf}, keywords={Nonlinear thermoelasticity, Nieliniowa termoelastyczność, Viscosity, Capillarity, Shape memory, Efekt pamięci kształtu, Global existence, Globalne istnienie, Lepkość, Kapilarność}, }