[1] We thank Lim [2005] for providing this opportunity to clarify the restrictions and confirm the applicability of the results of LaBolle et al. [2000]. LaBolle et al. [2000] develop generalized stochastic differential equations (SDE) that converge to advection dispersion equations with discontinuous dispersion tensor D. The problem of interest here relates to equation (15a) of LaBolle et al. ...

In this paper, we review recent results on the role of entropy in the numerical integration of conservation laws. It is well known that weak solutions of systems of conservation laws may not be unique. Physically relevant weak solutions possess a viscous profile and satisfy entropy inequalities. In the discrete case entropy inequalities are used as a tool to prove convergence to entropy dissipa...

Several European countries have recently introduced or are planning to introduce citizenship trajectories (voluntary or obligatory inclusion programs for recent immigrants) or citizen integration tests (tests one should pass to be able and acquire permanent residence or state citizenship). Authors like Joppke claim this is an articulation of a more general shift towards the logic of assimilatio...