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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| Veröffentlicht in: | Український математичний вісник |
|---|---|
| Datum: | 2004 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2004
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| Online Zugang: | 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 |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Blow-up phenomena arising in a reaction-absorption-diffusion equation with gradient diffusivity |
| spellingShingle |
Blow-up phenomena arising in a reaction-absorption-diffusion equation with gradient diffusivity Chaves, M. |
| title_short |
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_sort |
blow-up phenomena arising in a reaction-absorption-diffusion equation with gradient diffusivity |
| author |
Chaves, M. |
| author_facet |
Chaves, M. |
| publishDate |
2004 |
| language |
English |
| container_title |
Український математичний вісник |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1810-3200 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/124633 |
| 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. |
| work_keys_str_mv |
AT chavesm blowupphenomenaarisinginareactionabsorptiondiffusionequationwithgradientdiffusivity |
| first_indexed |
2025-12-07T19:23:47Z |
| last_indexed |
2025-12-07T19:23:47Z |
| _version_ |
1850878646068183040 |