# Initial-boundary value problems in a half-strip for two-dimensional Zakharov-Kuznetsov equation

## TL;DR

This paper investigates initial-boundary value problems for the two-dimensional Zakharov-Kuznetsov equation in a half-strip, establishing results on the existence, uniqueness, and long-term decay of solutions under various boundary conditions.

## Contribution

It provides new theoretical results on the global behavior of solutions to the 2D Zakharov-Kuznetsov equation in a half-strip with different boundary conditions.

## Key findings

- Proved global existence of solutions
- Established uniqueness of solutions
- Demonstrated long-time decay of solutions

## Abstract

Initial-boundary value problems in a half-strip with different types of boundary conditions for two-dimensional Zakharov-Kuznetsov equation are considered. Results on global existence, uniqueness and long-time decay of weak and regular solutions are establishrd.