In order to model phenomena arising in matter flows in electromagnetic fields, engineers join systems of conservation laws with discontinuous coefficients. The simplest quasi-linear equation is u t + a f u x = 0, where a is a given discontinuous coefficient function and f is a smooth function. We be
Conservation Laws with Time Dependent Discontinuous Coefficients
β Scribed by Coclite, Giuseppe Maria; Risebro, Nils Henrik
- Book ID
- 118198829
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2005
- Tongue
- English
- Weight
- 263 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0036-1410
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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 resp
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