El Mustapha Ait Benhassi, Jamal Eddine Benyaich,
Hammadi Bouslous, Lahcen Maniar
Abstract:
Under suitable assumptions, we prove the compactness of
the difference between the porous thermoelastic semigroup and its
decoupled one. This will be achieved by proving the norm continuity of
this difference and the compactness of the difference between the resolvents
of their generators. Applications to porous thermoelastic systems are given.
Submitted October 14, 2014. Published June 22, 2015.
Math Subject Classifications: 34G10, 47D06.
Key Words: Porous thermoelastic system; semigroup; compactness;
norm continuity; fractional powers; essential spectrum.
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El Mustapha Ait Benhassi Université Cadi Ayyad Faculté des Sciences Semlalia LMDP, UMMISCO (IRD- UPMC) Marrakech 40000, B.P. 2390, Maroc email: m.benhassi@uca.ma | |
Jamal Eddine Benyaich Université Cadi Ayyad Faculté des Sciences Semlalia LMDP, UMMISCO (IRD- UPMC) Marrakech 40000, B.P. 2390, Maroc email: jbenyaich@gmail.com | |
Hammadi Bouslous Université Cadi Ayyad Faculté des Sciences Semlalia LMDP, UMMISCO (IRD- UPMC) Marrakech 40000, B.P. 2390, Maroc email: bouslous@uca.ma | |
Lahcen Maniar Université Cadi Ayyad Faculté des Sciences Semlalia LMDP, UMMISCO (IRD- UPMC) Marrakech 40000, B.P. 2390, Maroc email: maniar@uca.ma |
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