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math.AP2007★ 17 cited
Homogenization of nonlinear scalar conservation laws
Anne-Laure Dalibard
We study the limit as $\e\to 0$ of the entropy solutions of the equation $\p_t \ue + \dv_x[A(\frac{x}{\e},\ue)] =0$. We prove that the sequence $\ue$ two-scale converges towards a…
math.AP2007★ 14 cited
Homogenization of linear transport equations in a stationary ergodic setting
Anne-Laure Dalibard
We study the homogenization of a linear kinetic equation which models the evolution of the density of charged particles submitted to a highly oscillating electric field. The electr…