Two-dimensional jet flows for compressible full Euler system with general vorticity

Yan Li

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arXiv · 2404.16377

Two-dimensional jet flows for compressible full Euler system with general vorticity

Yan Li

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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.

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Yan Li. 2024-04-25. Two-dimensional jet flows for compressible full Euler system with general vorticity. https://arxiv.org/abs/2404.16377

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