An initial–boundary value problem in a strip for two-dimensional Zakharov–Kuznetsov–Burgers equation. (April 2015)

• Record Type: Journal Article
• Authors: Faminskii, Andrei V.
• Is Part Of: Nonlinear analysis. Volume 116(2015)
• Page Start: 132
• Page End: 144
• Publication Date: 2015-04
• Subjects: primary 35Q53 -- secondary 35D30; Dispersive equation -- Initial–boundary value problem -- Well-posedness -- Large-time decay; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2014.12.028
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: An initial–boundary value problem in a strip with homogeneous Dirichlet boundary conditions for two-dimensional Zakharov–Kuznetsov–Burgers equation is considered. Results on global well-posedness and large-time decay of solutions in the spaces H s for s ∈ [ 0, 2 ] are established.