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On asymptotic behaviour for a coupled system modeled by transverse vibrations of an inhomogeneous beam with a thermal effect
Last modified: 2014-01-15
Abstract
We consider a flexible inhomogeneous beam of length $L$
clamped at both ends with a thermal effect. We prove the
well-posedness of the above model and analyze the behaviour of the
solution as $t \rightarrow + \infty.$ The existence of solutions are
proved using semigroup theory, and the stabilization of solutions
are obtained considering multiplier techniques.
clamped at both ends with a thermal effect. We prove the
well-posedness of the above model and analyze the behaviour of the
solution as $t \rightarrow + \infty.$ The existence of solutions are
proved using semigroup theory, and the stabilization of solutions
are obtained considering multiplier techniques.