@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.},
 title={Stefan problems in non-cylindrical domains arising in Czochralski process of crystal growth.},
 type={Text},
 URL={http://rcin.org.pl/Content/217403/PDF/RB-2003-88.pdf},
}