Hyperbolic Conservation Laws

The theory of hyperbolicconservation laws is a very important field in mathematics. Their formulation is highly inspired by natural processes. We observe in Chap. 3 that the compressible Euler systems ( 1.1), ( 1.2) and ( 1.6)–( 1.8) are particular examples of hyperbolic conservation laws. In this chapter we deal with hyperbolic conservation laws in general. More details can be found in textbooks, e.g. by Dafermos [27].