Debora Amadori
Department of Pure and Applied Mathematics
University of L'Aquila (Italy)

Abstract: We consider a homogenization problem for a scalar conservation law with periodic forcing. For this problem, the weak limit is well established, as well as the equation satisfied by the limit. We then address the problem of giving a more refined asymptotic expansion. Formally, a first order term in the expansion can be identified by means of the stationary solutions of the equation. We will discuss the strong convergence of the asymptotic expansion. The problem is also related to the long time behavior of solutions to the equation, where the convexity of the flux plays an important role.