Euler–Tricomi equation
id:
euler-tricomi-equation-290-3754758
title:
Euler–Tricomi equation
text:
In mathematics, the Euler–Tricomi equation is a linear partial differential equation useful in the study of transonic flow. It is named after mathematicians Leonhard Euler and Francesco Giacomo Tricomi. It is elliptic in the half plane x > 0, parabolic at x = 0 and hyperbolic in the half plane x < 0.
Its characteristics are which have the integral where C is a constant of integration. The characteristics thus comprise two families of semicubical parabolas, with cusps on the line x = 0, the curve
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original url:
https://en.wikipedia.org/wiki/Euler%E2%80%93Tricomi_equation
date created:
date modified:
2023-01-02T10:25:42Z
main entity:
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