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
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7493/4312
Description
Summary: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.
ISSN:0037-8712
2175-1188