Education in values in engineering. Energy for human development and sustainability

nergy is central to achieving th e interrelated econo mic, social, and environmental aims of sustaina ble human development. This pa per relates some UPC efforts to introduce the sustainable energy concept in its engineering curricula. The UPC approach is based on the education in values, the critical analysis of the presen t paradigms, and an overview of the global South real ity under a human rights-basis.Peer ReviewedPostprint (published version

Uniqueness at infinity in time for the Maxwell-Schr"odinger system with arbitrarily large asymptotic data

We prove the uniqueness of solutions of the Maxwell-Schr"odinger system with given asymptotic behaviour at infinity in time. The assumptions include suitable restrictions on the growth of solutions for large time and on the accuracy of their asymptotics, but no restriction on their size. The result applies to the solutions with prescribed asymptotics constructed in a previous paper.Comment: latex 28 page

Long Range Scattering and Modified Wave Operators for some Hartree Type Equations III. Gevrey spaces and low dimensions

We study the theory of scattering for a class of Hartree type equations with long range interactions in arbitrary space dimension n > or = 1, including the case of Hartree equations with time dependent potential V(t,x) = kappa t^(mu - gamma) |x|^{- mu} with 0 < gamma < or =1 and 0 < mu < n.This includes the case of potential V(x) = kappa |x|^(-gamma) and can be extended to the limiting case of nonlinear Schr"odinger equations with cubic nonlinearity kappa t^(n- gamma) u|u|^2.Using Gevrey spaces of asymptotic states and solutions,we prove the existence of modified local wave operators at infinity with no size restriction on the data and we determine the asymptotic behaviour in time of solutions in the range of the wave operators,thereby extending the results of previous papers (math.AP/9807031 and math.AP/9903073) which covered the range 0 < gamma < or = 1, but only 0 < mu < or = n-2, and were therefore restricted to space dimension n>2.Comment: TeX, 96 pages, available http://qcd.th.u-psud.f

Long Range Scattering and Modified Wave Operators for the Maxwell-Schr"odinger system I.The case of vanishing asymptotic magnetic field

We study the theory of scattering for the Maxwell-Schr"odinger system in space dimension 3,in the Coulomb gauge.In the special case of vanishing asymptotic magnetic field,we prove the existence of modified wave operators for that system with no size restriction on the Schr"odinger data and we determine the asymptotic behaviour in time of solutions in the range of the wave operators.The method consists in partially solving the Maxwell equations for the potentials,substituting the result into the Schr"odinger equation,which then becomes both nonlinear and nonlocal in time,and treating the latter by the method previously used for the Hartree equation and for the Wave-Schr"odinger system.Comment: LateX, 67 pages, available http://qcd.th.u-psud.f

Scattering theory for the Zakharov system

We study the theory of scattering for the Zakharov system in space dimension 3. We prove in particular the existence of wave operators for that system with no size restriction on the data in larger spaces and for more general asymptotic states than were previously considered, and we determine convergence rates in time of solutions in the range of the wave operators to the solutions of the underlying linear system. We also consider the same system in space dimension 2, where we prove the existence of wave operators in the special case of vanishing asymptotic data for the wave field.Comment: latex 29 page