Compact decoupling for thermoviscoelasticity in irregular domains
Our goal is to prove the compactness of the difference between the thermoviscoelasticity semigroup and its decoupled semigroup. To show this, we prove the norm continuity of this difference, the compactness of the difference of their resolvents and use Theorem 2.3 in Huang [4]. We generalize a r...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Texas State University
2011-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/71/abstr.html |
| _version_ | 1819202305834090496 |
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| author | El Mustapha Ait Ben Hassi Hammadi Bouslous Lahcen Maniar |
| author_facet | El Mustapha Ait Ben Hassi Hammadi Bouslous Lahcen Maniar |
| author_sort | El Mustapha Ait Ben Hassi |
| collection | DOAJ |
| description | Our goal is to prove the compactness of the difference between the thermoviscoelasticity semigroup and its decoupled semigroup. To show this, we prove the norm continuity of this difference, the compactness of the difference of their resolvents and use Theorem 2.3 in Huang [4]. We generalize a result by Liu [5]. An illustrative example of a thermoviscoelastic system with Neumann Laplacian on a Jelly Roll domain is given. |
| first_indexed | 2024-12-23T04:01:55Z |
| format | Article |
| id | doaj.art-3082e13af8d94ae8a73e1a843ff0c900 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-23T04:01:55Z |
| publishDate | 2011-05-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-3082e13af8d94ae8a73e1a843ff0c9002022-12-21T18:00:43ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912011-05-01201171,113Compact decoupling for thermoviscoelasticity in irregular domainsEl Mustapha Ait Ben HassiHammadi BouslousLahcen ManiarOur goal is to prove the compactness of the difference between the thermoviscoelasticity semigroup and its decoupled semigroup. To show this, we prove the norm continuity of this difference, the compactness of the difference of their resolvents and use Theorem 2.3 in Huang [4]. We generalize a result by Liu [5]. An illustrative example of a thermoviscoelastic system with Neumann Laplacian on a Jelly Roll domain is given.http://ejde.math.txstate.edu/Volumes/2011/71/abstr.htmlThermoviscoelasticitysemigroup compactnesssemigroup norm continuity, essential spectrumfractional power |
| spellingShingle | El Mustapha Ait Ben Hassi Hammadi Bouslous Lahcen Maniar Compact decoupling for thermoviscoelasticity in irregular domains Electronic Journal of Differential Equations Thermoviscoelasticity semigroup compactness semigroup norm continuity, essential spectrum fractional power |
| title | Compact decoupling for thermoviscoelasticity in irregular domains |
| title_full | Compact decoupling for thermoviscoelasticity in irregular domains |
| title_fullStr | Compact decoupling for thermoviscoelasticity in irregular domains |
| title_full_unstemmed | Compact decoupling for thermoviscoelasticity in irregular domains |
| title_short | Compact decoupling for thermoviscoelasticity in irregular domains |
| title_sort | compact decoupling for thermoviscoelasticity in irregular domains |
| topic | Thermoviscoelasticity semigroup compactness semigroup norm continuity, essential spectrum fractional power |
| url | http://ejde.math.txstate.edu/Volumes/2011/71/abstr.html |
| work_keys_str_mv | AT elmustaphaaitbenhassi compactdecouplingforthermoviscoelasticityinirregulardomains AT hammadibouslous compactdecouplingforthermoviscoelasticityinirregulardomains AT lahcenmaniar compactdecouplingforthermoviscoelasticityinirregulardomains |