@misc{Fukao_Takeshi_Stefan_2003, 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={2003}, publisher={Instytut Badań Systemowych. Polska Akademia Nauk}, publisher={Systems Research Institute. Polish Academy of Sciences}, language={eng}, abstract={This paper discusses a two-phase Stefan prob- lem with convection in a non-cylindrical (time-dependent) domain. This work is motivated by phase change phenomenon arising in the Czochralski process of crystal growth. The time-dependence of do- main 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 is considered for him and its solvability is given, assuming that the time-dependence of the material domain is prescribed and smooth enough in time, and the convective vector is prescribed, too. The main idea is to apply the theory of quasi-linear equations of parabolic type.}, type={Text}, title={Stefan problems in non-cylindrical domains arising in Czochralski process of crystal growth.}, URL={http://rcin.org.pl./Content/217403/PDF/RB-2003-88.pdf}, }