On the almost periodic homogenization of non-linear scalar conservation laws (Q5963585)

The author considers a non-linear equation with the term \(\nabla_x\cdot \left(a\left( \frac{x}{\varepsilon}\right) f(u_\varepsilon)\right)\) which has \(a\) almost periodic and \(f\) locally lipschitz. To obtain the limit equation the author uses the two-scale Young measures. The solution \(\{u_\varepsilon\}_{\varepsilon>0}\) in the homogenization process, when \(\varepsilon\) goes to zero, weakly star converges in \(L^\infty\) to the solution of the limit equation.