Homogenization of Non-linear Scalar Conservation Laws |
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Authors: | Anne-Laure Dalibard |
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Affiliation: | (1) CEREMADE-UMR 7534, Université Paris-Dauphine, Place du maréchal de Lattre de Tassigny, 75775 Paris Cedex 16, France |
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Abstract: | We study the limit as ε → 0 of the entropy solutions of the equation . We prove that the sequence u ε two-scale converges toward a function u(t, x, y), and u is the unique solution of a limit evolution problem. The remarkable point is that the limit problem is not a scalar conservation law, but rather a kinetic equation in which the macroscopic and microscopic variables are mixed. We also prove a strong convergence result in . |
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