Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 71, pp. 1-13.

Title: Compact decoupling for thermoviscoelasticity in irregular domains
       
Authors: El Mustapha  Ait Ben Hassi (Univ. Cadi Ayyad, Marrakech, Maroc)
         Hammadi Bouslous  (Univ. Cadi Ayyad, Marrakech, Maroc)
	 Lahcen Maniar  (Univ. Cadi Ayyad, Marrakech, Maroc)

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.