The Tricomi equation with applications to the theory of plane transonic flow
Abstract
The present work provides an uptodate account of both the achievements and limitations of transonic flow theory when based on the linear hodograph equations, i.e., on the generalized Tricomi equation. Particular attention is given to maximum principles and uniqueness theorems, solutions of the EulerPoissonDarboux equation, boundary value problems for this equation, weak shock wave solutions, and the transonic controversy. From this work it appears that further progress should be linked to the nonlinear aspects of the boundary value problem.
 Publication:

NASA STI/Recon Technical Report A
 Pub Date:
 1979
 Bibcode:
 1979STIA...8027617M
 Keywords:

 Flow Equations;
 Flow Theory;
 Linear Equations;
 Transonic Flow;
 Bibliographies;
 Boundary Value Problems;
 Euler Equations Of Motion;
 Hodographs;
 Maximum Principle;
 Nonlinear Equations;
 Plane Waves;
 Poisson Equation;
 Shock Waves;
 Uniqueness Theorem;
 Fluid Mechanics and Heat Transfer