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Part of the book series: Frontiers in Mathematics ((FM))

Abstract

This chapter presents the basic concepts that will be used in the rest of the monograph. It starts with balance laws and systems of conservation laws. The examples and equations are nonlinear. Since they come from continuum mechanics, they have to satisfy certain invariance principles, such as Galilean invariance.

The simplicity of models, compared with reality, lies in the fact that only the relevant properties of reality are represented. I’m no model lady. A model’s just an imitation of the real thing.

– Mae West

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Després, B. (2017). Models. In: Numerical Methods for Eulerian and Lagrangian Conservation Laws. Frontiers in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-50355-4_1

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