Bahçeşehir Üniversitesi Analiz ve Uygulamalı Matematik Seminerleri
On a thermoelastic Bresse system free of the second spectrum: existence and stability
Salim Messaoudi
University of Sharjah, Sharjah, UAE, Birleşik Arap Emirlikleri
In this talk, we consider, in a bounded interval, the following one-dimensional linear
truncated thermoelastic Bresse system together with initial and boundary conditions. We establish the well posedness, using the semigroup theory and with the help of non-classical differential operators. After that, we show that the system is exponentially stable if and only if the hyperbolic equations have the same speed of wave propagation. In the opposite case, we establish a polynomial decay.
