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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/7691
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