- Tytuł:
- Stefan problems in non-cylindrical domains arising in Czochralski process of crystal growth
- Autorzy:
-
Fukao, T.
Kenmochi, N.
Pawłow, I. - Powiązania:
- https://bibliotekanauki.pl/articles/206232.pdf
- Data publikacji:
- 2003
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
problem Stefana
domena niecylinryczna
Stefan problem
non-cylindrical domain
prescribed convection - Opis:
- In this paper we discuss a two-phase Stefan problem 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 domain is a mathematical description of the situation in which the material domain changes its shape with time by crystal growth. We consider the so-called enthalpy formulation for it and give its solvability, assuming that the time-dependence of the material domain is prescribed and smooth enough in time, and the convective vector is prescribed, too. Our main idea is to apply the theory of quasi-linear equations of parabolic type.
- Źródło:
-
Control and Cybernetics; 2003, 32, 2; 201-221
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł