Artigo
A transmission problem for the Timoshenko system
Fecha
2007-01-01Registro en:
Computational & Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional, v. 26, n. 2, p. 215-234, 2007.
1807-0302
10.1590/S0101-82052007000200003
S1807-03022007000200003
S1807-03022007000200003.pdf
Autor
Universidade Federal de São João del-Rei (UFSJ)
Universidade Estadual Paulista (Unesp)
Universidade Federal do Pará (UFPA)
Resumen
In this work we study a transmission problem for the model of beams developed by S.P. Timoshenko [10]. We consider the case of mixed material, that is, a part of the beam has friction and the other is purely elastic. We show that for this type of material, the dissipation produced by the frictional part is strong enough to produce exponential decay of the solution, no matter how small is its size. We use the method of energy to prove exponential decay for the solution.