Initial-boundary value problems in a rectangle for two-dimensional Zakharov-Kuznetsov equation
Analysis of PDEs
2017-06-06 v1
Abstract
Initial-boundary value problems in a bounded rectangle with different types of boundary conditions for two-dimensional Zakharov-Kuznetsov equation are considered. Results on global well-posedness in the classes of weak and regular solution are established. As applications of the developed technique results on boundary controllability and long-time decay of weak solutions are also obtained.
Cite
@article{arxiv.1706.01253,
title = {Initial-boundary value problems in a rectangle for two-dimensional Zakharov-Kuznetsov equation},
author = {Andrei V. Faminskii},
journal= {arXiv preprint arXiv:1706.01253},
year = {2017}
}
Comments
33 pages