Volume 9, Issue 1
A Quasisteady Stefan Problem with Curvature Correction and Kinetic Undercooling

Wanghui Yu

DOI:

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

Published online: 1996-09

Preview Full PDF 229 793
Export citation
  • 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.

  • Keywords

Stefan problem curvature correction kinetic undercooling

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JPDE-9-55, author = {}, 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 JO - Journal of Partial Differential Equations VL - 1 SP - 55 EP - 70 PY - 1996 DA - 1996/09 SN - 9 DO - http://dor.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 . (2019). A Quasisteady Stefan Problem with Curvature Correction and Kinetic Undercooling. Journal of Partial Differential Equations. 9 (1). 55-70. doi:
Copy to clipboard
The citation has been copied to your clipboard