Optimal rates of decay in 2-d thermoelasticity with second sound

被引：30

作者：

Fernandez Sare, Hugo D. ^{[1
]}

Munoz Rivera, Jaime E. ^{[2
]}

机构：

[1] Univ Fed Rio de Janeiro, Inst Matemat, BR-21945970 Rio De Janeiro, Brazil

[2] Natl Lab Sci Computat, Dept Res & Dev, BR-25651070 Rio De Janeiro, Brazil

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2012年 / 53卷 / 07期

关键词：

EXPONENTIAL STABILITY; SMOOTHING PROPERTIES; SYSTEMS; PLATE; SPECTRUM; ENERGY;

D O I：

10.1063/1.4734239

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a :linear thermoelastic plate system where the heat flux is given by Cattaneo's model. We show that the resulting system is exponentially stable if and only if the rotational inertia coefficient p, is positive. On the other hand, for mu = 0, we establish polynomial stability results giving optimal rates of decay for initial data in the domain of the infinitesimal generator of the thermoelastic semigroup. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4734239]

引用

页数：13

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