Scientific Project

The research issues that GDR MORPHEA members are interested in find their source in the analysis of industrial processes in the liquid phase. The global modeling of complex real processes makes it possible to identify the sensitive phenomena strongly impacting the quality of the products formulated or the efficiency of the treatment processes. The common approach is then to focus on the analysis of these particular phenomena, to identify, understand and model them in order to refine the global models and make them more predictive.

Axis 1 : Characterization of objects and populations of objects, morphological descriptors


Keywords : Image analysis, mathematical morphology, integral geometry, stochastic geometry, convex geometry, fractal geometry, stereology , particle size, morphometry

Axis 2 : Basic processes and multidimensional population balance


Keywords : analysis, PDE, ODE, kinetic model (coagulation, aggregation), morphogenesis, hyperbolic equation, integro- differential equation , (Boltzmann-Smoluchowski equation), similarity, asymptotic behavior, freezing

Axis 3 : Modeling coupled processes by multidimensional population balance


Keywords : PDE digital resolution, moment method, Monte Carlo simulation, data processing, big data, PDE-CFD coupling