@misc{Fukao_Takeshi_Stefan_2002, author={Fukao, Takeshi and Kenmochi, Nobyouki and Pawłow, Irena}, 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 discusses a two-phase Stefan problem with convection in a non-cylindrical (time-dependent) domain. This work refers to the phase change phenomenon arising in the Czochralski process of crystal growth. The time-dependence of domain is a mathematical description of the situation in which the material domain changes its shape with time by crystal growth. The so-called enthalpy formulation for it was considered and its solvability was given. The main idea is to apply the theory of quasi-linear equations of parabolic type.}, type={Text}, title={Stefan Problem in Non-Cylindrical Domains Arising in Czochralski Process of Crystal Growth}, URL={http://rcin.org.pl/Content/139439/PDF/RB-2002-10.pdf}, keywords={Stefan problem, Problem stefana, Non-cylidrical doamins, Domena niecylindryczna, Prescribed convention, Przepisanej konwencji, Crystal growth, Wzrost kryształu}, }