Asymptotic behavior of a planar flexible network with thermal effects
In this paper, we study the thermal effects on the asymptotic behavior of a simple planar network of elasticities with variable coefficients. Assume that the network consists of three edges. the exterior vertices of the network are clamped. The conservative laws( self-adjoint conditions) are fulfilled at the common vertex. We prove that the network is well-posedness based on the semigroup setting. Then we obtain that the solution of the network system decays to zero exponentially by the frequency domain method together with the multiplier techniques.
stability network thermo-elasticity
Zhong-Jie Han Gen-Qi Xu
Department of Mathematics, Tianjin University, Tianjin 300072, P. R. China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
1248-1253
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）