Geometrical optics and post shock behavior for nonlinear conservation laws

Abstract

In this paper we present an approach to the study of nonlinear waves and shocks associated with signaling problems for hyperbolic systems of conservation laws. Our approach employs a nonlinear phase variable, treats problems for which the flux function (and hence the matrix coefficients in the quasilinear system of partial differential equations) has explicit spatial dependence, and provides the post shock representation for the solution.

Keywords:

• Waves
• Shocks

Additional information

Notes on contributors

Yuanping He