An initial-boundary value problem for three-dimensional Zakharov-Kuznetsov equation

2015/06/23 by Andrei V. Faminskii, Faminskii, Andrei V.
Mathematics · Physics and Astronomy · #35Q53 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Waves and Solitons #math.AP #msc:35Q53

paper · pdf · doi:10.48550/arxiv.1506.07092

23 pages. arXiv admin note: text overlap with arXiv:1212.5896

openalex publication_date 2015/06/23 · arxiv created 2015/06/25 · arxiv updated 2015/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An initial-boundary value problem with homogeneous Dirichlet boundary conditions for three-dimensional Zakharov-Kuznetsov equation is considered. Results on global existence, uniqueness and large-time decay of weak solutions in certain weighted spaces are established.

Citations

• An initial-boundary value problem in a strip for a two-dimensional equation of Zakharov-Kuznetsov type
• On initial-boundary value problems in a strip for generalized two-dimensional Zakharov-Kuznetsov equation

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