Stability for a boundary contact problem in thermoelastic Timoshenko’s beam

被引：0
作者：
J. E. Munoz Rivera
C. A. da Costa Baldez
机构：
[1] Universidad del Bío-Bío,Department of Mathematics
[2] National Laboratory for Scientific Computation,Department of Mathematics
[3] Federal University of Pará,undefined
来源：
Zeitschrift für angewandte Mathematik und Physik | 2021年 / 72卷
关键词：
Timoshenko’s beams; Thermoelasticity; Contact problem; Semilinear problem; Asymptotic behaviour; Numerical solution; 35Q74; 35Q79; 35D40; 35D30; 65N22;
D O I：
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摘要：
We demonstrate the existence of solutions to Signorini’s problem for the Timoshenko’s beam by using a hybrid disturbance. This disturbance enables the use of semigroup theory to show the existence and asymptotic stability. We show that stability is exponential, when the waves speed of propagation is equal. When the waves speed is different, we show that the solution decays polynomially. This result is new. We perform numerical experiments to visualize the asymptotic properties.
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