Exponential stabilization of periodic solutions of a system of KdV equations
type: Item
instance of: scholarly article
title: Exponential stabilization of periodic solutions of a system of KdV equations
zbMATH Open document ID: 1165.35323
DOI: 10.4171/PM/1840
author: Eleni Bisognin
author: Vanilde Bisognin
author: Jardel Morais Pereira
published in: Portugaliae Mathematica. Nova Série
publication date: 2009-05-19T00:00:00Z
full work available at URL: http://www.ems-ph.org/journals/show_pdf.php
review text: Summary: We consider a coupled nonlinear dispersive system of Korteweg-de Vries type in the presence of a dissipative mechanism. First we prove that the Cauchy problem is globally well posed in a suitable periodic Sobolev space and our main result says that the \(L^{2}\) and \(L^{\infty }\) norms of the solutions decay exponentially fast as \(t \rightarrow + \infty \).
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 5554819
zbMATH Keywords: KdV system
zbMATH Keywords: global existence
zbMATH Keywords: exponential decay
MaRDI profile type: Publication
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OpenAlex ID: W2091933370
description: scientific article; zbMATH DE number 5554819