Geodesic
Compact decoupling for thermoviscoelasticity in irregular domains
Electronic journal of differential equations, Tome 2011 (2011)
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.
Classification : 34G10, 47D06
Keywords: thermoviscoelasticity, semigroup compactness, semigroup norm continuity, essential spectrum, fractional power 
@article{EJDE_2011__2011__a79,
     author = {Ait Ben Hassi,  El Mustapha and Bouslous,  Hammadi and Maniar,  Lahcen},
     title = {Compact decoupling for thermoviscoelasticity in irregular domains},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1226.47042},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a79/}
}
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Ait Ben Hassi,  El Mustapha; Bouslous,  Hammadi; Maniar,  Lahcen. Compact decoupling for thermoviscoelasticity in irregular domains. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a79/