Strong stability of the mono-tubular heat exchanger equation with output feedback (Q626803)

From the authors' abstract: We investigate the asymptotic behavior of the \(C_0\)-semigroup \(T(t)\) associated with the mono-tubular heat exchanger equation with output feedback by a perturbation method. It is shown that \(T(t)\) is bounded if a constraint is satisfied by the parameters and the spatial distribution function. Further, applying the Arendt-Batty-Lyubich-Vu theorem, a criterion is established to judge the strong stability of \(T(t)\).