Global periodic attractor for strongly damped wave equations with time-periodic driving force

Autor:	Fuqi Yin, Shengfan Zhou, Hongyan Li
Rok vydání:	2004
Předmět:	Bounded set Mathematical analysis Periodic attractor Statistical and Nonlinear Physics Damped wave Wave equation Nonlinear system symbols.namesake Classical mechanics Dirichlet boundary condition Attractor symbols Boundary value problem Mathematical Physics Mathematics
Zdroj:	Journal of Mathematical Physics. 45:3462-3467
ISSN:	1089-7658 0022-2488
DOI:	10.1063/1.1775873
Popis:	In this paper, we consider the existence of a global periodic attractor for a strongly damped nonlinear wave equation with time-periodic driving force under homogeneous Dirichlet boundary condition. It is proved that in certain parameter region, for arbitrary time-periodic driving force, the system has a unique periodic solution attracting any bounded set exponentially. This implies that the system behaves exactly as a one-dimensional system. We mention, in particular, that the obtained result can be used to prove the existence of global periodic attractor of the usual damped and driven wave equations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b98690709a0f4b36db8f55b33b05fa60 https://doi.org/10.1063/1.1775873 Zobrazit plný text záznamu