@article {2007,
title = {BV instability for the Lax-Friedrichs scheme},
number = {SISSA;100/2004/M},
year = {2007},
abstract = {It is proved that discrete shock profiles (DSPs) for the Lax-Friedrichs scheme for a system of conservation laws do not necessarily depend continuously in BV on their speed. We construct examples of $2 \\\\times 2$-systems for which there are sequences of DSPs with speeds converging to a rational number. Due to a resonance phenomenon, the difference between the limiting DSP and any DSP in the sequence will contain an order-one amount of variation.},
url = {http://hdl.handle.net/1963/2335},
author = {Paolo Baiti and Alberto Bressan and Helge Kristian Jenssen}
}