Variational approach to the closure problem of turbulence theory

A new method is proposed to solve the closure problem of turbulence theory and to drive the Kolmogorov law in an Eulerian framework. Instead of using complex Fourier components of velocity field as modal parameters, a complete set of independent real parameters and dynamic equations are worked out to describe the dynamic states of a turbulence. Classical statistical mechanics is used to study the statistical behavior of the turbulence. An approximate stationary solution of the Liouville equation is obtained by a perturbation method based on a Langevin-Fokker-Planck (LFP) model. The dynamic damping coefficient eta of the LFP model is treated as an optimum control parameter to minimize the error of the perturbation solution; this leads to a convergent integral equation for eta to replace the divergent response equation of Kraichnan's direct-interaction (DI) approximation, thereby solving the closure problem without appealing to a Lagrangian formulation. The Kolmogorov constant Ko is evaluated numerically, obtaining Ko = 1.2, which is compatible with the experimental data given by Gibson and Schwartz, (1963).

A conceptual approach to integrated coastal management

This paper focuses on the concept of Integrated Coastal Management (ICM) putting the theoretical basis of Chapter 17, Agenda 21 (UN Conference on Environment and Development, UNCED), in relation to the theoretical backgrounds on which the development of coastal area programmes have been founded. Reasoning leads us to think that the general system theory is the proper conceptual basis to stimulate ICM and that, in this theoretical context, integration is to be pursued between (i) the claiming of national maritime jurisdictional belts and the protection of the coastal ecosystem, (ii) the coastal system and its external environment, (iii) the decision making systems acting at all levels (international, regional, national and local). Integration, therefore, should be thought of as a political process.