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Stability of Conservation Laws with Discontinuous Coefficients

✍ Scribed by Runhild Aae Klausen; Nils Henrik Risebro

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 147 KB
Volume: 157
Category: Article
ISSN: 0022-0396
DOI: 10.1006/jdeq.1998.3624

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✦ Synopsis

We prove L 1 contractivity of weak solutions to a conservation law with a flux function that may depend discontinuously on the space variable. Furthermore, we show that the L 1 difference between solutions to conservation laws with different flux functions is bounded by the total variation with respect to the space variable, of the difference between the flux functions.

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