Global Existence of Ideal Invicid Compressible and Heat Conductive Fluids with Radial Symmetry

TL;DR

This paper proves the global existence of classical solutions for three-dimensional ideal inviscid compressible heat-conductive fluids with radial symmetry, using symmetric hyperbolic structure analysis.

Contribution

It establishes the global existence of solutions for a complex fluid system with radial symmetry, advancing understanding of such models.

Findings

Global classical solutions exist under radial symmetry.

The proof utilizes symmetric hyperbolic structure.

Results contribute to mathematical fluid dynamics theory.

Abstract

In this paper, we study the global existence of classical solutions to the three dimensional ideal invicid compressible and heat conductive fluids with radial symmetrical data in $H^s(\mathbb{R}^3)$. Our proof is based on the symmetric hyperbolic structure of the system.