Well-posedness of the IBVP for 2-D Euler Equations with Damping

TL;DR

This paper establishes the global existence of classical solutions for the 2-D isentropic Euler equations with damping, addressing the well-posedness of the initial-boundary value problem using energy estimates.

Contribution

It provides a rigorous proof of global solutions for the 2-D Euler equations with damping, a problem previously not fully resolved.

Findings

Proved global-in-time existence of classical solutions

Applied energy estimates to the IBVP for 2-D Euler equations

Addressed well-posedness with damping effects

Abstract

In this paper we focus on the initial-boundary value problem of the 2-D isentropic Euler equations with damping. We prove the global-in-time existence of classical solution to the initial-boundary value problem by the method of energy estimates.