English

Global regular solutions for the 3D Zakharov-Kuznetsov equation posed on a bounded domain

Analysis of PDEs 2015-09-30 v1

Abstract

An initial-boundary value problem for the 3D Zakharov-Kuznetsov equation posed on bounded domains is considered. Existence and uniqueness of a global regular solution as well as exponential decay of the H2H^2-norm for small initial data are proven.

Keywords

Cite

@article{arxiv.1411.7307,
  title  = {Global regular solutions for the 3D Zakharov-Kuznetsov equation posed on a bounded domain},
  author = {Nikolai Larkin},
  journal= {arXiv preprint arXiv:1411.7307},
  year   = {2015}
}