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

Article type: Research Article

Authors: Junca, Stéphane

Affiliations: Laboratoire J.A. Dieudonné, Université de Nice, Parc Valrose, B.P. 71, F‐06108 Nice Cédex 2, France Tel.: +33 04 92 07 62 99; Fax: +33 04 93 51 79 74; E‐mail: [email protected]

Abstract: 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.

Journal: Asymptotic Analysis, vol. 17, no. 3, pp. 221-238, 1998

Received 1 December 1997
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Published: 1998
Price: EUR 27.50
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