The Tricomi Equation
Analysis of PDEs
2015-07-28 v3
Abstract
The Tricomi equation is a second-order partial differential equation of mixed elliptic-hyperbolic type. It was first analyzed in the work by Francesco Giacomo Tricomi (1923) on the well-posedness of a boundary value problem. The Tricomi equation can be transformed into the corresponding elliptic or hyperbolic Euler-Poisson-Darboux equation, and has a close connection with transonic flow and isometric embedding. It has different degeneracy from a closely related equation, the Keldysh equation.
Cite
@article{arxiv.1311.3338,
title = {The Tricomi Equation},
author = {Gui-Qiang G. Chen},
journal= {arXiv preprint arXiv:1311.3338},
year = {2015}
}
Comments
1 page, In: "Equations, Laws and Functions of Applied Mathematics" of the Princeton Companion to Applied Mathematics, Princeton University Press, 2015