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BV instability for the Lax-Friedrichs scheme

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dc.contributor.author Baiti, Paolo en_US
dc.contributor.author Bressan, Alberto en_US
dc.contributor.author Jenssen, Helge Kristian en_US
dc.date.accessioned 2007-11-05T09:55:22Z en_US
dc.date.accessioned 2011-09-07T20:24:29Z
dc.date.available 2007-11-05T09:55:22Z en_US
dc.date.available 2011-09-07T20:24:29Z
dc.date.issued 2007-11-05T09:55:22Z en_US
dc.identifier.uri http://preprints.sissa.it/xmlui/handle/1963/2335 en_US
dc.description.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. en_US
dc.format.extent 257155 bytes en_US
dc.format.mimetype application/pdf en_US
dc.language.iso en_US en_US
dc.relation.ispartofseries SISSA;100/2004/M en_US
dc.title BV instability for the Lax-Friedrichs scheme en_US
dc.type Preprint en_US
dc.contributor.department Functional Analysis and Applications en_US
dc.contributor.area Mathematics en_US


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