By far, the ever best written book on the subject is that of Constantin Dafermos: *Hyperbolic Conservation Law in Continuum Physics*. Grundlehren der Mathematischen Wissenschaften **325**, Springer Verlag.

**Edit**. Of course, if you are already a bit familiar with the topic, you may have a look to the book by S. Benzoni-Gavage and I: *Multi-dimensional hyperbolic partial differential equations. First order systems and applications.* Oxford University Press (2007).