El Mustapha Ait Ben Hassi, Hammadi Bouslous, Lahcen Maniar
Abstract:
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.
Submitted August 24, 2010. Published May 31, 2011.
Math Subject Classifications: 34G10, 47D06.
Key Words: Thermoviscoelasticity; semigroup compactness;
semigroup norm continuity, essential spectrum;
fractional power.
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El Mustapha Ait Ben Hassi Département de Mathématiques Faculté des Sciences Semlalia, Université Cadi Ayyad, Marrakech 40000, B.P. 2390, Maroc email: m.benhassi@ucam.ac.ma |
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Hammadi Bouslous Département de Mathématiques Faculté des Sciences Semlalia, Université Cadi Ayyad, Marrakech 40000, B.P. 2390, Maroc email: bouslous@ucam.ac.ma |
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Lahcen Maniar Département de Mathématiques Faculté des Sciences Semlalia, Université Cadi Ayyad, Marrakech 40000, B.P. 2390, Maroc email: maniar@ucam.ac.ma |
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