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A free boundary problem arising in biology

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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Main Author: Borodin, M.A.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2004
Series:Нелинейные граничные задачи
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/169171
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id irk-123456789-169171
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spelling 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
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