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Mathematics > Analysis of PDEs

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

Authors: Yan Li
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.
Comments: arXiv admin note: text overlap with arXiv:2006.05672
Subjects: Analysis of PDEs (math.AP)
Cite as: arXiv:2404.16377 [math.AP]
  (or arXiv:2404.16377v1 [math.AP] for this version)

Submission history

From: Yan Li [view email]
[v1] Thu, 25 Apr 2024 07:34:12 GMT (29kb)

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