Global attractor for the generalized double dispersion equation

Autor(es)

Yang, Zhijian ^[1] ; Feng, Na ^[1] ; Ma, To Fu ^[2]

Afiliação do(s) autor(es)

^[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001 - Peoples R China

^[2] Univ Sao Paulo, Inst Math & Comp Sci, BR-13566590 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 115, p. 103-116, MAR 2015.
• Citações Web of Science: 12

Resumo

The paper studies the existence of global attractor for the generalized double dispersion equation arising in elastic waveguide model u(tt) - Delta u - Delta u(tt) + Delta(2)u - Delta u(t) - Delta g(u) = f(x). The main result is concerned with nonlinearities g(u) with supercritical growth. In that case we construct a subclass G of the limit solutions and show that it has a weak global attractor. Especially, in non-supercritical case, the weak topology becomes strong, the further regularity of the global attractor is obtained and the exponential attractor is established in natural energy space. (C) 2014 Elsevier Ltd. All rights reserved. (AU)

• Processo FAPESP: 12/24266-7 - Termoelasticidade do tipo hiperbólico: novas tendências e dinâmica assintótica
• Beneficiário: Ma To Fu
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Brasil