Two-dimensional jet flows for compressible full Euler system with general vorticity
Analysis of PDEs
2024-04-26 v1
Abstract
In this paper, we consider the well-posedness theory of two-dimensional compressible subsonic jet flows for steady full Euler system with general vorticity. Inspired by the analysis in arXiv:2006.05672, we show that the stream function formulation for such system admits a variational structure. Then the existence and uniqueness of a smooth subsonic jet flow can be established by the variational method developed by Alt, Caffarelli and Friedman. Furthermore, the far fields behavior of the flow and the existence of a critical upstream pressure are also obtained.
Cite
@article{arxiv.2404.16377,
title = {Two-dimensional jet flows for compressible full Euler system with general vorticity},
author = {Yan Li},
journal= {arXiv preprint arXiv:2404.16377},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2006.05672