Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/79610
Type: Artigo de periódico
Title: Strong periodic solutions for a class of abstract evolution equations
Author: Lukaszewicz, G
Ortega-Torres, EE
Rojas-Medar, MA
Abstract: We study a class of abstract nonlinear evolution equations in a separable Hilbert space for which we prove existence of strong time periodic solutions, provided the right-hand side is periodic and C-1 in time, and small enough in the norm of the considered space. We prove also uniqueness and stability of the solutions. The results apply, in particular, in several models of hydrodynamics, such as magneto-micropolar and micropolar models, and classical magnetohydrodynamics and Navier-Stokes models with non-homogeneous boundary conditions. The existence part of the proof is based on a set of estimates for the family of finite-dimensional approximate solutions. (C) 2003 Elsevier Ltd. All rights reserved.
Subject: periodic solution
existence
uniqueness
stability
Galerkin approximation
hydrodynamics
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Rights: fechado
Identifier DOI: 10.1016/S0362-546X(03)00125-1
Date Issue: 2003
Appears in Collections:Unicamp - Artigos e Outros Documentos

Files in This Item:
File Description SizeFormat 
WOS000184371700003.pdf153.39 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.