Supersonic flow past an airfoil

Yannis Angelopoulos

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arXiv · 2312.17408

Supersonic flow past an airfoil

Yannis Angelopoulos

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Abstract

We consider a supersonic flow past an airfoil in the context of the steady, isentropic and irrotational compressible Euler equations. We show that for appropriate data, either a shock forms, in which case certain derivatives of the solution blow up, or a sonic line forms, which translates to the fact that the hyperbolic character of the equations degenerates.

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Yannis Angelopoulos. 2023-12-29. Supersonic flow past an airfoil. https://arxiv.org/abs/2312.17408

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