Analysis of overdetermined system that describes the special class of two-dimensional motion of an ideal fluid

TL;DR

This paper analyzes a specific overdetermined PDE system modeling a unique class of 2D ideal fluid motion, establishing compatibility and deriving all solutions explicitly.

Contribution

It provides a complete compatibility analysis and closed-form solutions for a special class of 2D ideal fluid motion PDEs, advancing theoretical understanding.

Findings

System compatibility established

All solutions explicitly derived

Provides a complete analytical framework

Abstract

The paper considers the overdetermined system of PDE that describes a special type of two-dimensional motion of an ideal fluid. The analysis of the compatibility of the system was performed. All solutions of the system are obtained in a closed form.