A two-scale convergence result for a nonlinear scalar conservation law in one space variable

Stéphane Junca (1)

1 LJAD - Laboratoire Jean Alexandre Dieudonné

We prove a general result of two‐scale convergence for BV‐functions. We then use this result to show the validity of nonlinear geometric optics for weak solutions to scalar conservation laws when the small perturbation of the initial datum is only BV and periodic with respect to the slow and the fast variable.

Mots clés: scalar conservation law; BV; two scale convergence

Domaines: Equations aux dérivées partielles [math.AP]

Stéphane Junca. A two-scale convergence result for a nonlinear scalar conservation law in one space variable. Asymptotic Analysis, 1998, 17 (3), pp.221-238. ⟨hal-01312326⟩