Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1708869 | Applied Mathematics Letters | 2012 | 6 Pages |
Abstract
This paper is devoted to extending the well-known result on reducible equations in Courant and Friedrichs’ book “Supersonic flow and shock waves”, that any hyperbolic state adjacent to a constant state must be a simple wave. We establish a nice sufficient condition for the existence of characteristic decompositions to the general 2×22×2 quasilinear strictly hyperbolic systems. These decompositions allow for a proof that any wave adjacent to a constant state is a simple wave, despite the fact that the coefficients depend on the independent variables. Consequently as applications, we obtain the same results for the pseudo-steady Euler equations.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Yanbo Hu, Wancheng Sheng,