@article {2014,
title = {Global Structure of Admissible BV Solutions to Piecewise Genuinely Nonlinear, Strictly Hyperbolic Conservation Laws in One Space Dimension},
number = {Communications in Partial Differential Equations;Volume 39; issue 2; pp. 244-273;},
year = {2014},
publisher = {Taylor \& Francis},
abstract = {The paper describes the qualitative structure of an admissible BV solution to a strictly hyperbolic system of conservation laws whose characteristic families are piecewise genuinely nonlinear. More precisely, we prove that there are a countable set of points Θ and a countable family of Lipschitz curves T{script} such that outside T{script} ∪ Θ the solution is continuous, and for all points in T{script}{set minus}Θ the solution has left and right limit. This extends the corresponding structural result in [7] for genuinely nonlinear systems. An application of this result is the stability of the wave structure of solution w.r.t. -convergence. The proof is based on the introduction of subdiscontinuities of a shock, whose behavior is qualitatively analogous to the discontinuities of the solution to genuinely nonlinear systems.},
doi = {10.1080/03605302.2013.775153},
url = {http://urania.sissa.it/xmlui/handle/1963/34694},
author = {Stefano Bianchini and Lei Yu}
}