Study of a model for the equations of inserted elastic string in a thermal environment

Autor:	Joaquim R. Feitosa, Frederico de Oliveira Matias, Milton de Lacerda Oliveira
Rok vydání:	2004
Předmět:	Partial differential equation media_common.quotation_subject Applied Mathematics Mathematical analysis Zero (complex analysis) Infinity Thermal Neumann boundary condition Boundary value problem Uniqueness Exponential decay Analysis media_common Mathematics
Zdroj:	Nonlinear Analysis. 59:439-452
ISSN:	0362-546X
DOI:	10.1016/s0362-546x(04)00244-5
Popis:	In this paper we prove the uniqueness and existence of global solutions for a coupled thermal-Kirchhoff system with Newmann boundary conditions and we show that the solution decomposes into two parts, one of them decays exponentially to zero as time goes to infinity; that is, by denoting E ( t ) as the first-order energy of the system, we show that the positive constants C and γ exist which satisfy E ( t ) ⩽ CE ( 0 ) e - γ t .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::222c6e3c47ce0467409008f70693fcf8 https://doi.org/10.1016/s0362-546x(04)00244-5 Zobrazit plný text záznamu Full Text from ScienceDirect