A new perspective of exponential stability for Timoshenko systems under\n history and thermal effects

2021/03/01 by Marcio A. Jorge Silva, Silva, Marcio A. Jorge, Sandro B. Pinheiro +1
Chemical Engineering · Engineering · #35B35 #35B40 #35Q79 #74D05 #74F05 #74H40 #Analysis of PDEs (math.AP) #Elasticity and Material Modeling #FOS: Mathematics #Rheology and Fluid Dynamics Studies #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2103.01180

openalex publication_date 2021/03/01 · openalex created_date 2022/07/25 · openalex updated_date 2026/08/01

Abstract

We address a Timoshenko system with memory in the history context and\nthermoelasticity of type III for heat conduction. Our main goal is to prove its\nuniform (exponential) stability by illustrating carefully the sensitivity of\nthe heat and history couplings on the Timoshenko system. This investigation\ncontrasts previous insights on the subject and promotes a new perspective with\nrespect to the stability of the thermo-viscoelastic problem carried out, by\ncombining the whole strength of history and thermal effects.\n

Related

• Exponential stability of Timoshenko-Gurtin-Pipkin systems with full thermal coupling
• On the Stability of the Cauchy Problem of Timoshenko Thermoelastic Systems with Past History: Cattaneo and Fourier Law
• On the stability of Timoshenko systems with Gurtin-Pipkin thermal law
• Asymptotic behavior of a thermoviscoelastic plate with memory effects
• Study on the stability of thermoelastic Bresse and Timoshenko type systems with Gurtin-Pipkin's law via the vertical displacements