Convergence estimates of the dynamics of a hyperbolic system with variable coefficients

Autor(es)

Bezerra, Flank David M. ^[1] ; Nascimento, Marcelo Jose D. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba - Brazil

^[2] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: MATHEMATICAL METHODS IN THE APPLIED SCIENCES; v. 37, n. 5, p. 663-675, MAR 30 2014.
• Citações Web of Science: 1

Resumo

A damped hyperbolic equation with a dissipative nonlinearity posed in the energy space H01(omega)xL2(omega) is considered. The differential operator involved is not the Laplace operator but rather the operator - div(a(epsilon)(x) backward difference ( center dot )) that has its coefficient depending on a parameter epsilon. We analyze the behavior of the global attractors as the parameter epsilon tends to 0. It is assumed that the coefficient a(epsilon)(x) has a well determined behavior with the parameter, and the idea is to relate the distance of the global attractors with the magnitude a(epsilon) - a(0), measured in an appropriate norm. Copyright (c) 2013 John Wiley \& Sons, Ltd. (AU)

• Processo FAPESP: 11/04166-5 - Continuidade de atratores para problemas parabólicos
• Beneficiário: Marcelo José Dias Nascimento
• Modalidade de apoio: Auxílio à Pesquisa - Regular