“…Nonclassical solutions have the distinctive feature of being dynamically driven by small-scale effects such as diffusion, dispersion, and other high-order phenomena. Their selection requires an additional jump relation, called a kinetic relation, and introduced in the context of phase transition dynamics by Slemrod [35,36,13], Truskinovsky [37,38], Abeyaratne and Knowles [1,2], LeFloch [23], and Shearer [33,34], and developed in the more general context of nonlinear hyperbolic systems of conservation laws by LeFloch and collaborators [15]- [17], [3]- [5], [28]- [30], and [27]. See [24] for a review.…”