A Quasisteady Stefan Problem with Curvature Correction and Kinetic Undercooling

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Volume 9, Issue 1

Wanghui Yu

J. Part. Diff. Eq., 9 (1996), pp. 55-70.

Published online: 1996-09

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Abstract

A quasisteady Stefan problem with curvature correction and kinetic undercooling is considered. It is a problem with phase transition, in which not only the Stefan condition, but also the curvature correction and kinetic undercooling effect hold on the free boundary, and in phase regions elliptic equations are satisfied by the unknown temperature at each time. The existence and uniqueness of a local classical solution of this problem are obtained.

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Stefan problem curvature correction kinetic undercooling

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@Article{JPDE-9-55, author = {Wanghui Yu }, title = {A Quasisteady Stefan Problem with Curvature Correction and Kinetic Undercooling}, journal = {Journal of Partial Differential Equations}, year = {1996}, volume = {9}, number = {1}, pages = {55--70}, abstract = { A quasisteady Stefan problem with curvature correction and kinetic undercooling is considered. It is a problem with phase transition, in which not only the Stefan condition, but also the curvature correction and kinetic undercooling effect hold on the free boundary, and in phase regions elliptic equations are satisfied by the unknown temperature at each time. The existence and uniqueness of a local classical solution of this problem are obtained.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5609.html} }

TY - JOUR T1 - A Quasisteady Stefan Problem with Curvature Correction and Kinetic Undercooling AU - Wanghui Yu JO - Journal of Partial Differential Equations VL - 1 SP - 55 EP - 70 PY - 1996 DA - 1996/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5609.html KW - Stefan problem KW - curvature correction KW - kinetic undercooling AB - A quasisteady Stefan problem with curvature correction and kinetic undercooling is considered. It is a problem with phase transition, in which not only the Stefan condition, but also the curvature correction and kinetic undercooling effect hold on the free boundary, and in phase regions elliptic equations are satisfied by the unknown temperature at each time. The existence and uniqueness of a local classical solution of this problem are obtained.

Wanghui Yu . (1996). A Quasisteady Stefan Problem with Curvature Correction and Kinetic Undercooling. Journal of Partial Differential Equations. 9 (1). 55-70. doi:

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