ABSTRACT
This chapter deals with scalar conservation laws with a focus on the Young measure technique in the vanishing viscosity method. It presents a theorem that introduces the concept of Young measures which turns out to be an appropriate tool for describing composite limits of smooth nonlinearities with weakly convergent sequences. The chapter discusses the Murat-Tartar relation for non-convex entropies and scalar hyperbolic equations in one space dimension. The Young measure approach can also be successfully used in numerical analysis, namely to prove the convergence of so-called finite volume methods for scalar conservation laws in d space dimensions.
