DECAY ESTIMATE AND GLOBAL EXISTENCE OF SEMILINEAR THERMOELASTIC TIMOSHENKO SYSTEM WITH TWO DAMPING E

• 作 者: Weike WANG Rui XUE
• 机 构: School of Mathematical Sciences & Institute of Natural Sciences, Shanghai Jiao Tong University, Shan
• 出 处: 数学物理学报（英文版）
• 发表日期: 2019年6期
• 关键词: semilinear Timoshenko system heat conduction damping optimal decay rate eigenval

In this paper,we study a semilihear Timoshenko system with heat conduction having two damping effects.The observation that two damping effects might lead to smaller decay rates for solutions in comparison to one damping effect is rigorously proved here in providing optimality results.Moreover,the global well-posedness for small data is presented.