Decay rates for Kirchhoff-Timoshenko transmission problems

Autor:	Tamara Fastovska
Rok vydání:	2013
Předmět:	Physics Timoshenko beam theory symbols.namesake Thermoelastic damping Fourier transform Transmission (telecommunications) Exponential stability Applied Mathematics Mathematical analysis symbols General Medicine Thermal conduction Analysis
Zdroj:	Communications on Pure & Applied Analysis. 12:2645-2667
ISSN:	1553-5258
DOI:	10.3934/cpaa.2013.12.2645
Popis:	A linear transmission problem for a thermoelastic Timoshenko beam model with Fourier low of heat conduction which has a Kirchhoff part with hereditary heat conduction of Gurtin-Pipkin type is considered. We prove that the system is exponentially stable under certain conditions on its parameters. The same result for the problem with purely elastic Kirchhoff part is obtained.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d6af96ead55e26a219b5f1d077f69330 https://doi.org/10.3934/cpaa.2013.12.2645 Zobrazit plný text záznamu