Approximate approximations for the Poisson and the Stokes equations

The method of approximate approximations is based on generating functions representing an approximate partition of the unity, only. In the present paper this method is used for the numerical solution of the Poisson equation and the Stokes system in R^n (n = 2, 3). The corresponding approximate volume potentials will be computed explicitly in these cases, containing a one-dimensional integral, only. Numerical simulations show the efficiency of the method and confirm the expected convergence of essentially second order, depending on the smoothness of the data.

Right to Food, Food Security and Food Aid Under International Law, or the Limits of a right-based approach

The right to food has become a pillar of international humanitarian and human rights law. The increasing number of food-related emergencies and the evolution of the international order brought the more precise notion of food security and made a potential right to receive food aid emerge. Despite this apparent centrality, recent statistics show that a life free from hunger is for many people all over the world still a utopian idea. The paper will explore nature and content of the right to food, food security and food aid under international law in order to understand the reasons behind the substantial failure of this right-centred approach, emphasising the lack of legal effects of many food-related provisions because of excessive moral connotations of the right to be free from hunger. Bearing in mind the three-dimensional nature of food security, the paper will also suggest that all attention has been focused on the availability of food, while real difficulties arise in terms of accessibility and adequacy. Emergency situations provide an excellent example of this unbalance, as the emerging right to receive food aid focus itself on the availability of food, without improving local production and adequacy. Looking at other evolving sectors of international law, such as the protection of the environment, and particularly the safeguard of biological diversity, alternative solutions will be envisaged in order to “feed” the right to food.