Title:

Stefan problems in non-cylindrical domains arising in Czochralski process of crystal growth.

Subtitle:

Raport Badawczy = Research Report ; RB/88/2003

Creator:

Fukao, Takeshi ; Kenmochi, Nobyouki ; Pawłow, Irena

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2003

Description:

[201] - 221 pages ; 21 cm ; Bibliography p. 220-221

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.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2003-88

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open