【摘 要】
：
We study the well-posedness and decay properties of a one-dimensional thermoelastic laminated beam system either with or without structural damping,of which the heat conduction is given by Fourier\'s law effective in the rotation angle displacements.We
【机 构】
：
School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjin
论文部分内容阅读
We study the well-posedness and decay properties of a one-dimensional thermoelastic laminated beam system either with or without structural damping,of which the heat conduction is given by Fourier\'s law effective in the rotation angle displacements.We show that the system is well-posed by using the Lumer-Philips theorem,and prove that the system is exponentially stable if and only if the wave speeds are equal,by using the perturbed energy method and Gearhart-Herbst-Prüss-Huang theorem.Further-more,we show that the system with structural damping is polynomially stable provided that the wave speeds are not equal,by using the second-order energy method.When the speeds are not equal,whether the system without structural damping may has polynomial stability is left as an open problem.
其他文献
Suppose that the underlying field is of characteristic different from 2 and 3.We first prove that the so-called stem deformations of a free presentation of a finite-dimensional Lie superalgebra L exhaust all the maximal stem extensions of L,up to equivale
矿山正常的生产经营活动势必形成一定的矿山地质环境问题.为全面贯彻生态文明思想,牢固树立“绿水青山就是金山银山”的理念,按照恢复生态、兼顾景观总体要求,因地制宜、多措并举,扎实开展废弃露天矿山地质环境修复.依据矿山地质环境保护与恢复的相关规范与要求,以汶川某废弃露天矿山为例,从矿山环境角度介绍了矿山地质环境的影响因素,开展矿山斜坡整体稳定性、采场边坡稳定性、弃渣堆稳定性及地形地貌景观破坏等地质环境影响评价,划分治理重点、次重点和一般3个基本的矿山地质环境保护与恢复防治区.结果表明:矿山斜坡及弃渣堆现状基本稳
This paper is a subsequent work of[Invent.Math.,2013,191:197-253].The second fundamental theorem in Ahlfors covering surface theory is that,for each set Eq of q (≥ 3) distinct points in the extended complex plane(C),there is a minimal positive constant H0
We focus on the elliptic genera of level N at the cusps of a congruence subgroup for any complete intersection.Writing the first Chern class of a complete intersection as a product of an integral coefficient c1 and a generator of the 2nd integral cohomolo
We present upper bounds of eigenvalues for finite and infinite dimensional Cauchy-Hankel tensors.It is proved that an m-order infinite dimensional Canchy-Hankel tensor defines a bounded and positively (m-1)-homogeneous operator from l1 into lp (1 ＜ p ＜ ∞)
By using the perpetual cutoff method,we prove two discrete versions of gradient estimates for bounded Laplacian on locally finite graphs with exception sets under the condition of CDE\'(K,N).This generalizes a main result of F.Münch who considers the ca
The Fourier matrix is fundamental in discrete Fourier transforms and fast Fourier transforms.We generalize the Fourier matrix,extend the concept of Fourier matrix to higher order Fourier tensor,present the spectrum of the Fourier tensors,and use the Fouri
This paper is devoted to constructing some recollements of additive categories associated to concentric twin cotorsion pairs on an extriangulated category.As an application,this result generalizes the work by W.J.Chen,Z.K.Liu,and X.Y.Yang in a triangulate
We study conformal minimal two-spheres immersed into the quaternionic projective space HPn by using the twistor map.We present a method to construct new minimal two-spheres with constant curvature in HPn,based on the minimal property and horizontal condit