Compact decoupling for thermoelasticity in irregular domains

Article type: Research Article

Authors: Hassi, E. Ait Ben | Bouslous, H. | Maniar, L.

Affiliations: Department of Mathematics, Faculty of Sciences Semlalia, P.O. Box 2390, Marrakesh, Morocco. E-mail: [email protected]

Abstract: In this paper, we prove the compactness of the difference between the thermoelasticity semigroup and its decoupled one on some irregular domains. This will be achieved by proving the norm continuity of this difference and the compactness of the difference between the resolvent of their generators and using Theorem 2.3 in Semigroup Forum 65 (2002), 58–70. An application to a thermoelastic system on a concrete irregular domain is given.

Keywords: thermoelasticity, semigroup, compactness, norm continuity and fractional powers

DOI: 10.3233/ASY-2008-0878

Journal: Asymptotic Analysis, vol. 58, no. 1-2, pp. 47-56, 2008