Nonlinear damped Timoshenko systems with second sound-Global existence and exponential stability

作者：Messaoudi Salim A; Pokojovy Michael; Said Houari Belkacem

来源：Mathematical Methods in the Applied Sciences, 2009, 32(5): 505-534.

DOI：10.1002/mma.1049

• Timoshenko systems
• thermoelasticity
• second sound
• exponential decay
• nonlinearity
• global existence

In this paper, we consider nonlinear thermoelastic systems of Timoshenko type in a one-dimensional bounded domain. The system has two dissipative mechanisms being present in the equation for transverse displacement and rotation angle-a frictional damping and a dissipation through hyperbolic heat conduction modelled by Cattaneo's law, respectively. The global existence of small, smooth solutions and the exponential stability in linear and nonlinear cases are established.

• 出版日期2009-3-30
• 单位中国石油大学（北京）