We consider a scalar conservation law with oscillatory, periodic source term and with oscillatory initial data. 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 is identified and the strong convergence of the asymptotic expansion is shown.
On the homogenization of conservation laws with resonant oscillatory source
AMADORI, DEBORA
2006-01-01
Abstract
We consider a scalar conservation law with oscillatory, periodic source term and with oscillatory initial data. 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 is identified and the strong convergence of the asymptotic expansion is shown.File in questo prodotto:
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