Abstract
In this chapter we will look at a couple of examples of scalar conservation laws with some physical meaning, and apply the theory developed in the previous chapter. The first of these examples (traffic flow) should also help develop some physical intuition that is applicable to the more complicated case of gas dynamics, with gas molecules taking the place of cars. This application is discussed in much more detail in Chapter 3 of Whitham[97]. The second example (two phase flow) shows what can happen when f is not convex.
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© 1992 Springer Basel AG
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LeVeque, R.J. (1992). Some Scalar Examples. In: Numerical Methods for Conservation Laws. Lectures in Mathematics ETH Zürich. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8629-1_4
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DOI: https://doi.org/10.1007/978-3-0348-8629-1_4
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-2723-1
Online ISBN: 978-3-0348-8629-1
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