Asymptotic stability for a thermoelectromagnetic material
In this work we consider a linear thermoelectromagnetic material, whose behaviour is characterized by two rate-type equations for the heat flux and the electric current density. We derive the restrictions imposed by the laws of thermodynamics on the constitutive equations and introduce the free en...
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| Published in: | Нелінійні коливання |
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| Date: | 2001 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2001
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/174761 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Asymptotic stability for a thermoelectromagnetic material / G. Amendola // Нелінійні коливання. — 2001. — Т. 4, № 4. — С. 434-457 . — Бібліогр.: 8 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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Amendola, G. 2021-01-27T18:05:00Z 2021-01-27T18:05:00Z 2001 Asymptotic stability for a thermoelectromagnetic material / G. Amendola // Нелінійні коливання. — 2001. — Т. 4, № 4. — С. 434-457 . — Бібліогр.: 8 назв. — англ. 1562-3076 AMS Subject Classification: 80A05, 74F05, 74F15 https://nasplib.isofts.kiev.ua/handle/123456789/174761 In this work we consider a linear thermoelectromagnetic material, whose behaviour is characterized by two rate-type equations for the heat flux and the electric current density. We derive the restrictions imposed by the laws of thermodynamics on the constitutive equations and introduce the free energy which yields the existence of a domain of dependence. Uniqueness, existence and asymptotic stability theorems are then proved. Work perfomed under the auspices of C.N.R. and M.U.R.S.T.. en Інститут математики НАН України Нелінійні коливання Asymptotic stability for a thermoelectromagnetic material Асимптотична стійкість для термоелектромагнітного матеріалу Асимптотическая устойчивость для термоэлектромагнитного материала Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Asymptotic stability for a thermoelectromagnetic material |
| spellingShingle |
Asymptotic stability for a thermoelectromagnetic material Amendola, G. |
| title_short |
Asymptotic stability for a thermoelectromagnetic material |
| title_full |
Asymptotic stability for a thermoelectromagnetic material |
| title_fullStr |
Asymptotic stability for a thermoelectromagnetic material |
| title_full_unstemmed |
Asymptotic stability for a thermoelectromagnetic material |
| title_sort |
asymptotic stability for a thermoelectromagnetic material |
| author |
Amendola, G. |
| author_facet |
Amendola, G. |
| publishDate |
2001 |
| language |
English |
| container_title |
Нелінійні коливання |
| publisher |
Інститут математики НАН України |
| format |
Article |
| title_alt |
Асимптотична стійкість для термоелектромагнітного матеріалу Асимптотическая устойчивость для термоэлектромагнитного материала |
| description |
In this work we consider a linear thermoelectromagnetic material, whose behaviour is characterized by two rate-type equations for the heat flux and the electric current density. We derive the
restrictions imposed by the laws of thermodynamics on the constitutive equations and introduce
the free energy which yields the existence of a domain of dependence. Uniqueness, existence and
asymptotic stability theorems are then proved.
|
| issn |
1562-3076 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/174761 |
| citation_txt |
Asymptotic stability for a thermoelectromagnetic material / G. Amendola // Нелінійні коливання. — 2001. — Т. 4, № 4. — С. 434-457 . — Бібліогр.: 8 назв. — англ. |
| work_keys_str_mv |
AT amendolag asymptoticstabilityforathermoelectromagneticmaterial AT amendolag asimptotičnastíikístʹdlâtermoelektromagnítnogomateríalu AT amendolag asimptotičeskaâustoičivostʹdlâtermoélektromagnitnogomateriala |
| first_indexed |
2025-12-07T18:08:42Z |
| last_indexed |
2025-12-07T18:08:42Z |
| _version_ |
1850873922489155584 |