The Timoshenko system with history and Cattaneo law

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• 作者：Luci Harue Fatori ; Rodrigo Nunes Monteiro ; Hugo D. Fern谩ndez Sare
• 关键词：Timoshenko system ; Cattaneo&rsquo ; s law ; Stability ; Optimality
• 刊名：Applied Mathematics and Computation
• 出版年：1 February, 2014
• 年：2014
• 卷：228
• 期：Complete
• 页码：128-140
• 全文大小：485 K

文摘

In this paper we study a fully hyperbolic thermoelastic Timoshenko system with past history where the thermal effects are given by Cattaneo鈥檚 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.