Attractors of reaction-diffusion equations with nonmonotone nonlinearity
In this paper we study the existence of global compact attractors for nonlinear parabolic equations of reaction-diffusion type. The studied equations are generated by a difference of subdifferential maps and are not assumed to have a unique solution for each initial state. Applications are given to...
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| Опубліковано в: : | Нелинейные граничные задачи |
|---|---|
| Дата: | 2000 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2000
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/169258 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Attractors of reaction-diffusion equations with nonmonotone nonlinearity / J. Valero // Нелинейные граничные задачи: сб. науч. тр. — 2000. — Т. 10. — С. 199-203. — Бібліогр.: 7 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-169258 |
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Valero, J. 2020-06-09T12:47:21Z 2020-06-09T12:47:21Z 2000 Attractors of reaction-diffusion equations with nonmonotone nonlinearity / J. Valero // Нелинейные граничные задачи: сб. науч. тр. — 2000. — Т. 10. — С. 199-203. — Бібліогр.: 7 назв. — англ. 0236-0497 2000 Mathematics Subject Classification. 58F39, 35B40, 35K55, 35K57 https://nasplib.isofts.kiev.ua/handle/123456789/169258 In this paper we study the existence of global compact attractors for nonlinear parabolic equations of reaction-diffusion type. The studied equations are generated by a difference of subdifferential maps and are not assumed to have a unique solution for each initial state. Applications are given to inclusions modelling combustion in porous media and processes of transmission of electrical impulses in nerve axons. I would like to thank Professor V.S. Melnik for his valuable help and support in this work. This work has been supported by PB-2-FS-97 grant (Fundacion Seneca (Comunidad Autonoma de Murcia)). en Інститут прикладної математики і механіки НАН України Нелинейные граничные задачи Attractors of reaction-diffusion equations with nonmonotone nonlinearity Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Attractors of reaction-diffusion equations with nonmonotone nonlinearity |
| spellingShingle |
Attractors of reaction-diffusion equations with nonmonotone nonlinearity Valero, J. |
| title_short |
Attractors of reaction-diffusion equations with nonmonotone nonlinearity |
| title_full |
Attractors of reaction-diffusion equations with nonmonotone nonlinearity |
| title_fullStr |
Attractors of reaction-diffusion equations with nonmonotone nonlinearity |
| title_full_unstemmed |
Attractors of reaction-diffusion equations with nonmonotone nonlinearity |
| title_sort |
attractors of reaction-diffusion equations with nonmonotone nonlinearity |
| author |
Valero, J. |
| author_facet |
Valero, J. |
| publishDate |
2000 |
| language |
English |
| container_title |
Нелинейные граничные задачи |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
In this paper we study the existence of global compact attractors for nonlinear parabolic equations of reaction-diffusion type. The studied equations are generated by a difference of subdifferential maps and are not assumed to have a unique solution for each initial state. Applications are given to inclusions modelling combustion in porous media and processes of transmission of electrical impulses in nerve axons.
|
| issn |
0236-0497 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/169258 |
| citation_txt |
Attractors of reaction-diffusion equations with nonmonotone nonlinearity / J. Valero // Нелинейные граничные задачи: сб. науч. тр. — 2000. — Т. 10. — С. 199-203. — Бібліогр.: 7 назв. — англ. |
| work_keys_str_mv |
AT valeroj attractorsofreactiondiffusionequationswithnonmonotonenonlinearity |
| first_indexed |
2025-12-01T11:09:48Z |
| last_indexed |
2025-12-01T11:09:48Z |
| _version_ |
1850860042189799424 |