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math.AP2024
Decay of solutions of non-homogenous hyperbolic equations
Piotr Michał Bies
We consider conditions for the decay in time of solutions of non-homogenous hyperbolic equations. It is proven that solutions of the equations go to in at infinity if and…
math.AP2024
Time-asymptotics of a heated string
Piotr Michał Bies, Tomasz Cieślak
In the present paper, we study a model of a thermoelastic string that is initially heated. We classify all the possible asymptotic states when time tends to infinity of such a mode…