Blow-up phenomena arising in a reaction-absorption-diffusion equation with gradient diffusivity
We study the blow-up phenomena arising in a p-laplacian equation with reaction and absorption terms. We show that there exists a unique blowing-up approximate self-similar solution which describe the asymptotic singular behaviour of a wide class of solutions. As a consequence, we conclude that in th...
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| Опубліковано в: : | Український математичний вісник |
|---|---|
| Дата: | 2004 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2004
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/124633 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Blow-up phenomena arising in a reaction-absorption-diffusion equation with gradient diffusivity / M. Chaves // Український математичний вісник. — 2004. — Т. 1, № 4. — С. 583-597. — Бібліогр.: 22 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862730903641391104 |
|---|---|
| author | Chaves, M. |
| author_facet | Chaves, M. |
| citation_txt | Blow-up phenomena arising in a reaction-absorption-diffusion equation with gradient diffusivity / M. Chaves // Український математичний вісник. — 2004. — Т. 1, № 4. — С. 583-597. — Бібліогр.: 22 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | We study the blow-up phenomena arising in a p-laplacian equation with reaction and absorption terms. We show that there exists a unique blowing-up approximate self-similar solution which describe the asymptotic singular behaviour of a wide class of solutions. As a consequence, we conclude that in this class, the absorption became negligible in finite time in the competition between the reaction and the absorption terms.
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| first_indexed | 2025-12-07T19:23:47Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124633 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T19:23:47Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Chaves, M. 2017-09-30T12:46:48Z 2017-09-30T12:46:48Z 2004 Blow-up phenomena arising in a reaction-absorption-diffusion equation with gradient diffusivity / M. Chaves // Український математичний вісник. — 2004. — Т. 1, № 4. — С. 583-597. — Бібліогр.: 22 назв. — англ. 1810-3200 1991 MSC. 35K55, 35K65 https://nasplib.isofts.kiev.ua/handle/123456789/124633 We study the blow-up phenomena arising in a p-laplacian equation with reaction and absorption terms. We show that there exists a unique blowing-up approximate self-similar solution which describe the asymptotic singular behaviour of a wide class of solutions. As a consequence, we conclude that in this class, the absorption became negligible in finite time in the competition between the reaction and the absorption terms. en Інститут прикладної математики і механіки НАН України Український математичний вісник Blow-up phenomena arising in a reaction-absorption-diffusion equation with gradient diffusivity Article published earlier |
| spellingShingle | Blow-up phenomena arising in a reaction-absorption-diffusion equation with gradient diffusivity Chaves, M. |
| title | Blow-up phenomena arising in a reaction-absorption-diffusion equation with gradient diffusivity |
| title_full | Blow-up phenomena arising in a reaction-absorption-diffusion equation with gradient diffusivity |
| title_fullStr | Blow-up phenomena arising in a reaction-absorption-diffusion equation with gradient diffusivity |
| title_full_unstemmed | Blow-up phenomena arising in a reaction-absorption-diffusion equation with gradient diffusivity |
| title_short | Blow-up phenomena arising in a reaction-absorption-diffusion equation with gradient diffusivity |
| title_sort | blow-up phenomena arising in a reaction-absorption-diffusion equation with gradient diffusivity |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124633 |
| work_keys_str_mv | AT chavesm blowupphenomenaarisinginareactionabsorptiondiffusionequationwithgradientdiffusivity |