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...
Збережено в:
Дата: | 2004 |
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Автор: | |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
Інститут прикладної математики і механіки НАН України
2004
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Назва видання: | Нелинейные граничные задачи |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/169171 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | 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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irk-123456789-1691712020-06-08T01:25:52Z A free boundary problem arising in biology Borodin, M.A. 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. 2004 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/169171 en Нелинейные граничные задачи Інститут прикладної математики і механіки НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
collection |
DSpace DC |
language |
English |
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. |
format |
Article |
author |
Borodin, M.A. |
spellingShingle |
Borodin, M.A. A free boundary problem arising in biology Нелинейные граничные задачи |
author_facet |
Borodin, M.A. |
author_sort |
Borodin, M.A. |
title |
A free boundary problem arising in biology |
title_short |
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_sort |
free boundary problem arising in biology |
publisher |
Інститут прикладної математики і механіки НАН України |
publishDate |
2004 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/169171 |
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. |
series |
Нелинейные граничные задачи |
work_keys_str_mv |
AT borodinma afreeboundaryproblemarisinginbiology AT borodinma freeboundaryproblemarisinginbiology |
first_indexed |
2023-10-18T22:24:35Z |
last_indexed |
2023-10-18T22:24:35Z |
_version_ |
1796155441101668352 |