Objective
The main goal of the project is development of the theory of two-phase turbulence, which includes construction of statistical model of unsteady turbulent flows and the investigation of passive impurities diffusion in such flows. Models of turbulent flows will be developed for potential turbulence described by Burgers' equation and its generalizations in one, two and three dimensions. This equation itself has very important applications in different fields of physics: in nonlinear acoustics Burgers' equation describes propagation of intense noise, in cosmology, in so-called adhesion approximation (three-dimensional Burgers' equation), it gives a model description of the large-scale structure of the Universe. The use of analytical models of turbulent flows and the presence of a set of exact solutions in particles' dynamics opens the possibility to reach a deeper physical understanding of the nature of two-phase turbulent flows, and to use them for checking of numerical methods and turbulent diffusion theory.
The project favours further consolidation of efforts of the groups from France, Italy, Sweden, and Russia (Nizhny Novgorod, Moscow, Perm), while these groups have already had sufficient experience of collaboration.
The results of the project will be published in physical and mathematical journals, and will be delivered at International conferences.
Topic(s)
Call for proposal
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41100 Modena
Italy