Compact decoupling for thermoviscoelasticity in irregular domains

Autor: El Mustapha Ait Ben Hassi, Hammadi Bouslous, Lahcen Maniar
Jazyk: angličtina
Rok vydání: 2011
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2011, Iss 71,, Pp 1-13 (2011)
Druh dokumentu: article
ISSN: 1072-6691
Popis: 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.
Databáze: Directory of Open Access Journals