๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A singular-perturbed two-phase Stefan problem

โœ Scribed by J. Struckmeier; A. Unterreiter


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
266 KB
Volume
14
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

โœฆ Synopsis


The asymptotic behavior of a singular-perturbed two-phase Stefan problem due to slow diffusion in one of the two phases is investigated. In the limit, the model equations reduce to a one-phase Stefan problem. A boundary layer at the moving interface makes it necessary to use a corrected interface condition obtained from matched asymptotic expansions. The approach is validated by numerical experiments using a front-tracking method.


๐Ÿ“œ SIMILAR VOLUMES


Two-Phase Stefan Problem as the Limit Ca
โœ Fahuai Yi; Yuqing Liu ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 171 KB

Both one-dimensional two-phase Stefan problem with the thermodynamic equilibrium condition uรฐRรฐtรž; tรž ยผ 0 and with the kinetic rule u e รฐR e รฐtรž; tรž ยผ eR 0 e รฐtรž at the moving boundary are considered. We prove, when e approaches zero, R e รฐtรž converges to Rรฐtรž in C 1รพd=2 ยฝ0; T for any finite T > 0;

A reactionโ€“diffusion system approximatio
โœ D. Hilhorst; M. Iida; M. Mimura; H. Ninomiya ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 475 KB

It is well known that the classical two-phase Stefan problem, which is an orderpreserving system, can be regarded as a singular limit of a phase field model. However the rigorous analysis of the phase field model is not easy, because it is not an order-preserving system and also is strongly coupled.