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Bibliographic Details
Main Author: Angelopoulos, Yannis
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2312.17408
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author Angelopoulos, Yannis
author_facet Angelopoulos, Yannis
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2312_17408
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Supersonic flow past an airfoil
Angelopoulos, Yannis
Analysis of PDEs
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.
title Supersonic flow past an airfoil
topic Analysis of PDEs
url https://arxiv.org/abs/2312.17408