Compact decoupling for thermoelasticity in irregular domains

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.