Analyticity of thermo-elastic semigroups with coupled hinged/Neumann B.C.
We consider a thermo-elastic plate system where the elastic equation does not account for rotational forces. We select the case of hinged mechanical B.C. and Neumann thermal B.C., which are coupled on the boundary. We show that the corresponding s.c. contraction semigroup (on a natural energy space)...
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| Format: | Article |
| Language: | English |
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Wiley
1998-01-01
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| Series: | Abstract and Applied Analysis |
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| Online Access: | http://dx.doi.org/10.1155/S1085337598000487 |
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| _version_ | 1832555404982222848 |
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| author | Irena Lasiecka Roberto Triggiani |
| author_facet | Irena Lasiecka Roberto Triggiani |
| author_sort | Irena Lasiecka |
| collection | DOAJ |
| description | We consider a thermo-elastic plate system where the elastic equation does not account for rotational forces. We select the case of hinged
mechanical B.C. and Neumann thermal B.C., which are coupled on the boundary. We show that the corresponding s.c. contraction semigroup (on a natural energy space) is analytic and, hence, uniformly stable. Because of the boundary (high) coupling, this case of B.C. is not contained in, and is more challenging than, recent known cases of the
literature [L-R.1], [L-L.1], [L-T.1]. |
| format | Article |
| id | doaj-art-03850f9a625740599feb988cfc25a010 |
| institution | Kabale University |
| issn | 1085-3375 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-03850f9a625740599feb988cfc25a0102025-02-03T05:48:16ZengWileyAbstract and Applied Analysis1085-33751998-01-0131-215316910.1155/S1085337598000487Analyticity of thermo-elastic semigroups with coupled hinged/Neumann B.C.Irena Lasiecka0Roberto Triggiani1Department of Mathematics, Kerchof Hall, University of Virginia, Charlottesville 22903, VA, USADepartment of Mathematics, Kerchof Hall, University of Virginia, Charlottesville 22903, VA, USAWe consider a thermo-elastic plate system where the elastic equation does not account for rotational forces. We select the case of hinged mechanical B.C. and Neumann thermal B.C., which are coupled on the boundary. We show that the corresponding s.c. contraction semigroup (on a natural energy space) is analytic and, hence, uniformly stable. Because of the boundary (high) coupling, this case of B.C. is not contained in, and is more challenging than, recent known cases of the literature [L-R.1], [L-L.1], [L-T.1].http://dx.doi.org/10.1155/S1085337598000487Thermo-elastic semigroupscoupled/hinged Neumann boundary conditions. |
| spellingShingle | Irena Lasiecka Roberto Triggiani Analyticity of thermo-elastic semigroups with coupled hinged/Neumann B.C. Abstract and Applied Analysis Thermo-elastic semigroups coupled/hinged Neumann boundary conditions. |
| title | Analyticity of thermo-elastic semigroups with coupled hinged/Neumann B.C. |
| title_full | Analyticity of thermo-elastic semigroups with coupled hinged/Neumann B.C. |
| title_fullStr | Analyticity of thermo-elastic semigroups with coupled hinged/Neumann B.C. |
| title_full_unstemmed | Analyticity of thermo-elastic semigroups with coupled hinged/Neumann B.C. |
| title_short | Analyticity of thermo-elastic semigroups with coupled hinged/Neumann B.C. |
| title_sort | analyticity of thermo elastic semigroups with coupled hinged neumann b c |
| topic | Thermo-elastic semigroups coupled/hinged Neumann boundary conditions. |
| url | http://dx.doi.org/10.1155/S1085337598000487 |
| work_keys_str_mv | AT irenalasiecka analyticityofthermoelasticsemigroupswithcoupledhingedneumannbc AT robertotriggiani analyticityofthermoelasticsemigroupswithcoupledhingedneumannbc |