A free boundary problem arising in biology
This work was intended as an attempt to investigate a simple mathematical model cell. This model represents a problem with free boundary for system of two differential equations, one of which is parabolic and another one is elliptic. We apply a method which consists of the following. First, we const...
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| Published in: | Нелинейные граничные задачи |
|---|---|
| Date: | 2004 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2004
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/169171 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A free boundary problem arising in biology / M.A. Borodin // Нелинейные граничные задачи. — 2004. — Т. 14. — С. 26-37. — Бібліогр.: 5 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1859609429280817152 |
|---|---|
| author | Borodin, M.A. |
| author_facet | Borodin, M.A. |
| citation_txt | A free boundary problem arising in biology / M.A. Borodin // Нелинейные граничные задачи. — 2004. — Т. 14. — С. 26-37. — Бібліогр.: 5 назв. — англ. |
| collection | DSpace DC |
| container_title | Нелинейные граничные задачи |
| description | This work was intended as an attempt to investigate a simple mathematical model cell. This model represents a problem with free boundary for system of two differential equations, one of which is parabolic and another one is elliptic. We apply a method which consists of the following. First, we construct a special system of difference-differential approximating elliptic problems, then we prove some uniform estimates and pass to the limit. We prove the existence of the classical solution.
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| first_indexed | 2025-11-28T09:49:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169171 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0236-0497 |
| language | English |
| last_indexed | 2025-11-28T09:49:56Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Borodin, M.A. 2020-06-07T16:28:08Z 2020-06-07T16:28:08Z 2004 A free boundary problem arising in biology / M.A. Borodin // Нелинейные граничные задачи. — 2004. — Т. 14. — С. 26-37. — Бібліогр.: 5 назв. — англ. 0236-0497 https://nasplib.isofts.kiev.ua/handle/123456789/169171 This work was intended as an attempt to investigate a simple mathematical model cell. This model represents a problem with free boundary for system of two differential equations, one of which is parabolic and another one is elliptic. We apply a method which consists of the following. First, we construct a special system of difference-differential approximating elliptic problems, then we prove some uniform estimates and pass to the limit. We prove the existence of the classical solution. en Інститут прикладної математики і механіки НАН України Нелинейные граничные задачи A free boundary problem arising in biology Article published earlier |
| spellingShingle | A free boundary problem arising in biology Borodin, M.A. |
| title | A free boundary problem arising in biology |
| title_full | A free boundary problem arising in biology |
| title_fullStr | A free boundary problem arising in biology |
| title_full_unstemmed | A free boundary problem arising in biology |
| title_short | A free boundary problem arising in biology |
| title_sort | free boundary problem arising in biology |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169171 |
| work_keys_str_mv | AT borodinma afreeboundaryproblemarisinginbiology AT borodinma freeboundaryproblemarisinginbiology |