Preprint 2002-013

Evaluation of the Lopatinski Determinant for Multi-dimensional Euler Equations

Abstract: The purpose of this appendix is to calculate the Lopatinski determinant, or ``stability function,'' for the Euler equations of compressible gas dynamics. We offer two approaches to this problem. In the first we use a change of variables to simplify the computation. In the second method we take advantage of the Galilean invariance of the Euler equations and exploit a relationship between the eigenvectors of a particular pair of matrices. As a preliminary step for this first technique, we discuss how the Lopatinski determinant behaves under a change of coordinates.

Paper:

Available as PostScript (238 bytes) or gzipped PostScript (90 Kbytes; uncompress using gunzip).

Author(s):

Helge Kristian Jenssen, <kjenssen@indiana.edu>

Gregory Lyng, <glyng@indiana.edu>

Publishing information:

To appear as appendix to K. Zumbrun, "Stability of Viscous Shock Fronts" in The Handbook of Fluid Mechanics

Comments:

Submitted by:

<kjenssen@indiana.edu> February 19 2002.