TY - RPRT
T1 - BV instability for the Lax-Friedrichs scheme
Y1 - 2007
A1 - Paolo Baiti
A1 - Alberto Bressan
A1 - Helge Kristian Jenssen
AB - 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.
UR - http://hdl.handle.net/1963/2335
U1 - 1681
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -