Browsing by Author "Baiti, Paolo"

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    BV instability for the Lax-Friedrichs scheme
    (2007-11-05T09:55:22Z) Baiti, Paolo; Bressan, Alberto; Jenssen, Helge Kristian; Mathematics; Functional Analysis and Applications
    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.