Abstract: The paper is concerned with the qualitative structure of entropy solutions to a strictly hyperbolic, genuinely nonlinear system of conservation laws. We first give an accurate description of the local and global wave-front structure of a BV solution, generated by a front tracking algorithm. We then consider a sequence of exact or approximate solutions $u_\nu$, converging to a solution $u$ in $\L^1$. The convergence of the wave-fronts of $u_\nu$ to the corresponding fronts of $u$ is studied, proving a structural stability result in a neighborhood of each point in the $t$-$x$ plane.
mailto:conservation@math.ntnu.no Last modified: Mon Aug 10 13:05:44 1998