THE STEFAN PROBLEM WITH KINETIC FUNCTIONS AT THE FREE BOUNDARY
This paper considers a class of one-dimensional solidification problem in which kinetic undercooling is incorporated into the temperature condition at the interface. A model problem with nonlinear kinetic law is considered. The main result is an existence theorem. The mathematical effects of the kin...
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| Format: | Article |
|---|---|
| Language: | English |
| Published: |
University of Tehran
1999-06-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_31493_28ff0070e5ca590e7b279f1b5eff4f94.pdf |
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| collection | DOAJ |
| description | This paper considers a class of one-dimensional solidification problem in which
kinetic undercooling is incorporated into the temperature condition at the interface.
A model problem with nonlinear kinetic law is considered. The main result is an
existence theorem. The mathematical effects of the kinetic term are discussed |
| format | Article |
| id | doaj-art-e2a81a1c7d4a4c61a6bf76324cf09f3a |
| institution | DOAJ |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 1999-06-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-e2a81a1c7d4a4c61a6bf76324cf09f3a2025-08-20T03:08:46ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69141999-06-0110231493THE STEFAN PROBLEM WITH KINETIC FUNCTIONS AT THE FREE BOUNDARYThis paper considers a class of one-dimensional solidification problem in which kinetic undercooling is incorporated into the temperature condition at the interface. A model problem with nonlinear kinetic law is considered. The main result is an existence theorem. The mathematical effects of the kinetic term are discussedhttps://jsciences.ut.ac.ir/article_31493_28ff0070e5ca590e7b279f1b5eff4f94.pdf |
| spellingShingle | THE STEFAN PROBLEM WITH KINETIC
FUNCTIONS AT THE FREE BOUNDARY Journal of Sciences, Islamic Republic of Iran |
| title | THE STEFAN PROBLEM WITH KINETIC
FUNCTIONS AT THE FREE BOUNDARY |
| title_full | THE STEFAN PROBLEM WITH KINETIC
FUNCTIONS AT THE FREE BOUNDARY |
| title_fullStr | THE STEFAN PROBLEM WITH KINETIC
FUNCTIONS AT THE FREE BOUNDARY |
| title_full_unstemmed | THE STEFAN PROBLEM WITH KINETIC
FUNCTIONS AT THE FREE BOUNDARY |
| title_short | THE STEFAN PROBLEM WITH KINETIC
FUNCTIONS AT THE FREE BOUNDARY |
| title_sort | stefan problem with kinetic functions at the free boundary |
| url | https://jsciences.ut.ac.ir/article_31493_28ff0070e5ca590e7b279f1b5eff4f94.pdf |