BV instability for the Lax-Friedrichs scheme

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dc.contributor.areaMathematicsen_US
dc.contributor.authorBaiti, Paoloen_US
dc.contributor.authorBressan, Albertoen_US
dc.contributor.authorJenssen, Helge Kristianen_US
dc.contributor.departmentFunctional Analysis and Applicationsen_US
dc.date.accessioned2007-11-05T09:55:22Zen_US
dc.date.accessioned2011-09-07T20:24:29Z
dc.date.available2007-11-05T09:55:22Zen_US
dc.date.available2011-09-07T20:24:29Z
dc.date.issued2007-11-05T09:55:22Zen_US
dc.description.abstractIt 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.extent257155 bytesen_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/2335en_US
dc.language.isoen_USen_US
dc.relation.ispartofseriesSISSA;100/2004/Men_US
dc.titleBV instability for the Lax-Friedrichs schemeen_US
dc.typePreprinten_US
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