BV instability for the Lax-Friedrichs scheme

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dc.creatorBaiti, Paolo
dc.creatorBressan, Alberto
dc.creatorJenssen, Helge Kristian
dc.date2005-02-02
dc.date.accessioned2026-07-07T05:16:36Z
dc.date.available2026-07-07T05:16:36Z
dc.descriptionIt 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.
dc.description24 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0502043
dc.identifierhttp://arxiv.org/abs/math/0502043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74048
dc.subjectAnalysis of PDEs
dc.titleBV instability for the Lax-Friedrichs scheme
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