Asymptotics of Time Harmonic Solutions to a Thin Ferroelectric Model
We introduce new model equations to describe the dynamics of the electric polarization in a ferroelectric material. We consider a thin cylinder representing the material with thickness ɛ and discuss the asymptotic behavior of the time harmonic solutions to the model when ɛ tends to 0. We obtain a r...
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| Format: | Article |
| Language: | English |
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Wiley
2007-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2007/61629 |
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| _version_ | 1832562457384583168 |
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| author | Naïma Aïssa Kamel Hamdache |
| author_facet | Naïma Aïssa Kamel Hamdache |
| author_sort | Naïma Aïssa |
| collection | DOAJ |
| description | We introduce new model equations to describe the dynamics of the electric polarization in a ferroelectric material. We consider a thin cylinder representing the material with thickness ɛ and discuss the asymptotic behavior of the time harmonic solutions to the model when ɛ tends to 0. We obtain a reduced model settled in the cross-section of the cylinder describing the dynamics of the plane components of the polarization and electric fields. |
| format | Article |
| id | doaj-art-32b6d1c774d84ca790498b0388532912 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-32b6d1c774d84ca790498b03885329122025-02-03T01:22:37ZengWileyAbstract and Applied Analysis1085-33751687-04092007-01-01200710.1155/2007/6162961629Asymptotics of Time Harmonic Solutions to a Thin Ferroelectric ModelNaïma Aïssa0Kamel Hamdache1Centre de Mathématiques Appliquées (CMAP), UMR 7641 CNRS, Ecole Polytechnique, Palaiseau Cedex 91128, FranceCentre de Mathématiques Appliquées (CMAP), UMR 7641 CNRS, Ecole Polytechnique, Palaiseau Cedex 91128, FranceWe introduce new model equations to describe the dynamics of the electric polarization in a ferroelectric material. We consider a thin cylinder representing the material with thickness ɛ and discuss the asymptotic behavior of the time harmonic solutions to the model when ɛ tends to 0. We obtain a reduced model settled in the cross-section of the cylinder describing the dynamics of the plane components of the polarization and electric fields.http://dx.doi.org/10.1155/2007/61629 |
| spellingShingle | Naïma Aïssa Kamel Hamdache Asymptotics of Time Harmonic Solutions to a Thin Ferroelectric Model Abstract and Applied Analysis |
| title | Asymptotics of Time Harmonic Solutions to a Thin Ferroelectric Model |
| title_full | Asymptotics of Time Harmonic Solutions to a Thin Ferroelectric Model |
| title_fullStr | Asymptotics of Time Harmonic Solutions to a Thin Ferroelectric Model |
| title_full_unstemmed | Asymptotics of Time Harmonic Solutions to a Thin Ferroelectric Model |
| title_short | Asymptotics of Time Harmonic Solutions to a Thin Ferroelectric Model |
| title_sort | asymptotics of time harmonic solutions to a thin ferroelectric model |
| url | http://dx.doi.org/10.1155/2007/61629 |
| work_keys_str_mv | AT naimaaissa asymptoticsoftimeharmonicsolutionstoathinferroelectricmodel AT kamelhamdache asymptoticsoftimeharmonicsolutionstoathinferroelectricmodel |