2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64088We establish one-dimensional spectral stability of small amplitude viscous and relaxation shock profiles using Evans function techniques to perform a series of reductions and normal forms to reduce to the case of the scalar Burgers equation. In multidimensions, the canonical behavior is described, rather by a 2x2 viscous conservation law; this case will be treated in a companion paper by similar techniques.47 pp Minor typos corrected from original version of May 15Analysis of PDEstext