On the homogenization of conservation laws with resonant oscillatory source
Debora Amadori · Asymptotic Analysis · 2006
We consider the scalar conservation law with oscillatory, periodic source term [Formula: see text] and with initial data [Formula: see text] For possibly resonant initial data, we prove a corrector-type result for this problem, extending a previous one by E and Serre [Asymptotic Anal. 5 (1992), 311–316]: an asymptotic representation $\[$U(x,t,\tfrac{x}{\varepsilon})$$ is identified for the sequence u ε (x,t), and the strong convergence of the asymptotic expansion is shown.