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Conservation Laws with Discontinuous Coefficients

โœ Scribed by S. Bernard; J.-F. Colombeau; A. Meril; L. Remaki

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
168 KB
Volume
258
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

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 begin our study by solving the Riemann problem, and then we construct a numerical scheme of Godunov type.

๐Ÿ“œ SIMILAR VOLUMES

Stability of Conservation Laws with Disc
Stability of Conservation Laws with Discontinuous Coefficients
โœ Runhild Aae Klausen; Nils Henrik Risebro ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 147 KB

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