The Timoshenko system with history and Cattaneo law

作者:Fatori Luci Harue; Monteiro Rodrigo Nunes; Fernandez Sare Hugo D
来源:Applied Mathematics and Computation, 2014, 228: 128-140.
DOI:10.1016/j.amc.2013.11.054

摘要

In this paper we study a fully hyperbolic thermoelastic Timoshenko system with past history where the thermal effects are given by Cattaneo's law. We obtain exponential stability of solutions if and only if a new condition on the wave speed of propagation is verified. Otherwise, when that condition fails, we obtain polynomial stability of solutions. In this case optimal rates of decay are established.

  • 出版日期2014-2-1