| Title | BV instability for the Lax-Friedrichs scheme |
| Publication Type | Preprint |
| 2007 | |
| Authors | Baiti, P, Bressan, A, Jenssen, HK |
| Document Number | SISSA;100/2004/M |
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. | |
| http://hdl.handle.net/1963/2335 |
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