A General Decay Estimate for a Finite Memory Thermoelastic Bresse System

被引：0
作者：
Cyril Dennis Enyi
Soh Edwin Mukiawa
机构：
[1] University of Hafr Al Batin,
来源：
Applications of Mathematics | 2022年 / 67卷
关键词：
general decay; Bresse system; nonequal speed; viscoelastic; thermoelastic; 35B35; 35L05; 74D10; 35B40; 35L20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This work considers a Bresse system with viscoelastic damping on the vertical displacement and heat conduction effect on the shear angle displacement. A general stability result with minimal condition on the relaxation function is obtained. The system under investigation, to the best of our knowledge, is new and has not been studied before in the literature. What is more interesting is the fact that our result holds without the imposition of the equal speed of wave propagation condition, and differentiation of the equations of the system, as against the usual practice in the literature.
引用
收藏
页码：633 / 656
页数：23
相关论文
共 43 条
[1]  
Alves M O(2015)Stability and optimality of decay rate for a weakly dissipative Bresse system Math. Methods Appl. Sci. 38 898-908
[2]  
Fatori L H(2019)On modeling and uniform stability of a partially dissipative viscoelastic Timoshenko system SIAM J. Math. Anal. 51 4520-4543
[3]  
Jorge Silva M A(2003)Energy decay for Timoshenko systems of memory type J. Differ. Equations 194 82-115
[4]  
Monteiro R N(2015)Asymptotic stability of thermoelastic systems of Bresse type J. Differ. Equations 258 3902-3927
[5]  
Alves M O(2021)On the stabilization of the Bresse beam with Kelvin-Voigt damping Appl. Math. Optim. 83 1831-1857
[6]  
Gomes Tavares E H(2021)Stability result for a new viscoelastic-thermoelastic Timoshenko system Bull. Malays. Math. Sci. Soc. 44 1837-1866
[7]  
Jorge Silva M A(2012)The optimal decay rate for a weak dissipative Bresse system Appl. Math. Lett. 25 600-604
[8]  
Rodrigues J H(2015)Bresse system with infinite memories Math. Methods Appl. Sci. 38 2389-2402
[9]  
Ammar-Khodja F(2008)On the control of a viscoelastic damped Timoshenko-type system Appl. Math. Comput. 206 589-597
[10]  
Benabdallah A(2009)General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping Math. Methods Appl. Sci. 32 2102-2122
12345