%0 Report
%D 2007
%T BV instability for the Lax-Friedrichs scheme
%A Paolo Baiti
%A Alberto Bressan
%A Helge Kristian Jenssen
%X 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.
%G en_US
%U http://hdl.handle.net/1963/2335
%1 1681
%2 Mathematics
%3 Functional Analysis and Applications
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