Korteweg-de Vries Equation in Bounded Domains

Korteweg-de Vries Equation in Bounded Domains

The goal of this paper is to prove the existence, uniqueness and the energy decay of global regular solutions of the KdV equation in a bounded domain approximating it by the Kuramoto-Sivashinsky equations.

Bibliographic Details
Main Author: Nikolai A. Larkin
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2004-07-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
KdV
solvability
Kuramoto-Sivashinsky.
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7493/4312
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spelling doaj-f1263f5aaabf4f27bc3c6e5df86751cb2020-11-24T22:46:40ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882004-07-012213037Korteweg-de Vries Equation in Bounded DomainsNikolai A. LarkinThe goal of this paper is to prove the existence, uniqueness and the energy decay of global regular solutions of the KdV equation in a bounded domain approximating it by the Kuramoto-Sivashinsky equations.http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7493/4312KdVsolvabilityKuramoto-Sivashinsky.
collection DOAJ
language English
format Article
sources DOAJ
author Nikolai A. Larkin
spellingShingle Nikolai A. Larkin
Korteweg-de Vries Equation in Bounded Domains
Boletim da Sociedade Paranaense de Matemática
KdV
solvability
Kuramoto-Sivashinsky.
author_facet Nikolai A. Larkin
author_sort Nikolai A. Larkin
title Korteweg-de Vries Equation in Bounded Domains
title_short Korteweg-de Vries Equation in Bounded Domains
title_full Korteweg-de Vries Equation in Bounded Domains
title_fullStr Korteweg-de Vries Equation in Bounded Domains
title_full_unstemmed Korteweg-de Vries Equation in Bounded Domains
title_sort korteweg-de vries equation in bounded domains
publisher Sociedade Brasileira de Matemática
series Boletim da Sociedade Paranaense de Matemática
issn 0037-8712
2175-1188
publishDate 2004-07-01
description The goal of this paper is to prove the existence, uniqueness and the energy decay of global regular solutions of the KdV equation in a bounded domain approximating it by the Kuramoto-Sivashinsky equations.
topic KdV
solvability
Kuramoto-Sivashinsky.
url http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7493/4312
work_keys_str_mv AT nikolaialarkin kortewegdevriesequationinboundeddomains
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