ON THE ENERGY DECAY OF A LINEAR HYPERBOLIC THERMOELASTIC SYSTEM WITH DISSIPATIVE BOUNDARY

Barbara Lazzari; Roberta Nibbi

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ON THE ENERGY DECAY OF A LINEAR HYPERBOLIC THERMOELASTIC SYSTEM WITH DISSIPATIVE BOUNDARY

机译：耗散边界的线性双曲线热弹性系统的能量衰减

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摘要

We study the asymptotic behavior of the solutions of a 3-D hyperbolic system arising in linear homogeneous anisotropic thermoelasticity with the following boundary condition with memory for the displacement T(x, i)n(x) =- γ_0v(x, t) - ∫_0~∞ λ(s)v~t(x,s)ds. By introducing a boundary free energy, we prove that, if the kernel λ exponentially decays in time then also the energy exponentially decays.

机译：我们研究线性均质各向异性热弹性在以下边界条件下产生的3-D双曲系统解的渐近行为，并具有记忆T（x，i）n（x）=-γ_0v（x，t）- ∫_0〜∞λ（s）v〜t（x，s）ds通过引入边界自由能，我们证明了，如果内核λ在时间上呈指数衰减，那么能量也会呈指数衰减。

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来源
《Journal of thermal stresses》 |2007年第11期|p.1159-1172|共14页
作者
Barbara Lazzari; Roberta Nibbi;
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作者单位

Department of Mathematics, University of Bologna, Bologna, Italy;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类热力工程、热机;
关键词
boundary conditions of memory type; exponential asymptotic stability; integrodifferential equations; thermoelasticity;

机译：记忆类型的边界条件;指数渐近稳定性;积分微分方程;热弹性;

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1. Energy decay in Green-Naghdi thermoelasticity with diffusion and dissipative boundary controls [J] . Lazzari Barbara, Nibbi Roberta Journal of thermal stresses . 2017,第7a9期

机译：具有扩散和耗散边界控制的Green-Naghdi热弹性中的能量衰减
2. Energy decay in thermoelastic diffusion theory with second sound and dissipative boundary [J] . Moncef Aouadi, Barbara Lazzari, Roberta Nibbi Meccanica . 2013,第9期

机译：具有第二声和耗散边界的热弹性扩散理论中的能量衰减
3. Energy decay in thermoelastic diffusion theory with second sound and dissipative boundary [J] . Aouadi M., Lazzari B., Nibbi R. Meccanica: Journal of the Italian Association of Theoretical and Applied Mechanics . 2013,第9期

机译：具有第二声和耗散边界的热弹性扩散理论中的能量衰减
4. On the finite-time boundary dissipative for a class of hyperbolic systems - The networks example [C] . Ghada Ben Belgacem, Chaker Jammazi IFAC Workshop on Control of Systems Governed by Partial Differential Equations . 2016

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5. Energy decay estimates for certain class of nonlinear systems arising in models of power systems. [D] . Nag, Parthasarathi. 2004

机译：电力系统模型中某些类别的非线性系统的能量衰减估计。
6. Boundary conditions for hyperbolic systems of partial differentials equations [O] . Amr G. Guaily, Marcelo Epstein 2013

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7. Energy decay for hyperbolic thermoelastic systems of memory type [O] . Luci Harue Fatori, Jaime E. Muñoz Rivera 2001

机译：用于双曲热弹性系统的能量衰减
8. Recursive Linear Smoothing for Dissipative Hyperbolic Systems [R] . Riddle, L. R., Weinert, H. L. 1986

机译：耗散双曲型系统的递归线性平滑

ON THE ENERGY DECAY OF A LINEAR HYPERBOLIC THERMOELASTIC SYSTEM WITH DISSIPATIVE BOUNDARY

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