Global existence of a classical solution for the isentropic nozzle flow
Analysis of PDEs
2024-02-09 v1
Abstract
Our goal in this paper is to prove the global existence of a classical solution for the isentropic nozzle flow. Regarding this problem, there exist some global existence theorems of weak solutions. However, that of classical solutions does not have much attention until now. When we consider the present problem, the main difficulty is to obtain the uniform bound of solutions and their derivatives. To solve this, we introduce an invariant region depending on the space variable and a functional satisfying the Riccati equation along the characteristic lines.
Keywords
Cite
@article{arxiv.2402.05268,
title = {Global existence of a classical solution for the isentropic nozzle flow},
author = {Shih-Wei Chou and Bo-Chih Huang and Yun-guang Lu and Naoki Tsuge},
journal= {arXiv preprint arXiv:2402.05268},
year = {2024}
}