Mildly dissipative nonlinear Timoshenko systems—global existence and exponential stability☆
Mildly dissipative nonlinear Timoshenko systems—global existence and exponential stability☆
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DOI：
10.1016/s0022-247x(02)00436-5
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发表时间：
2002-12
影响因子：
1.3
通讯作者：
J. Rivera;R. Racke
中科院分区：
文献类型：
--
作者：
J. Rivera;R. Racke
本文考虑一维有界区域上的非线性系统。该系统有一个耗散机制，只存在于方程的旋转角;这是一个阻尼效应，通过热传导。研究了小的光滑解的全局存在性和指数稳定性。
We consider nonlinear systems of Timoshenko type in a one-dimensional bounded domain. The system has a dissipative mechanism being present only in the equation for the rotation angle; it is a damping effect through heat conduction. The global existence of small, smooth solutions as well as the exponential stability are investigated.