On the local extension of Killing vector-fields in Ricci flat manifolds

We revisit the problem of extension of Killing vector-fields in smooth Ricci flat manifolds, and its relevance to the black hole rigidity problem

Global regularity for 2d water waves with surface tension

We consider the full irrotational water waves system with surface tension and no gravity in dimension two (the capillary waves system), and prove global regularity and modified scattering for suitably small and localized perturbations of a flat interface. An important point of our analysis is to develop a sufficiently robust method, based on energy estimates and dispersive analysis, which allows us to deal with strong singularities arising from time resonances in the applications of the normal form method and nonlinear scattering. As a result, we are able to consider a suitable class of perturbations with finite energy, but no other momentum conditions. Part of our analysis relies on a new treatment of the Dirichlet-Neumann operator in dimension two which is of independent interest. As a consequence, the results in this paper are self-contained.Comment: 100 pages. References update

ENSURING THE COMPETITIVENESS ORGANIZATIONS USING SERVICES BASED ON KNOWLEDGE MANAGEMENTITLE

Using knowledge-based management is a very modern approach to specific activities of service organizations, with direct effects on work processes to ensure competitiveness. The complex system of multidisciplinary actions refers to the particularities of services for tertiary sector in relation to material goods production, which involves the transfer to practice of the original methodologies of decision making in conditions of risk and uncertainty.competitiveness, knowledge, competition, awareness, certification, computerization.