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Section: New Results

A few words on the results of the year

  • Analysis of wave propagation in mechanics, partly in collaboration with phsyicsts [40], [24]

  • Analysis of PDE system in chromatography [5] and in traffic flows modelling [30]

  • Analysis of conservation laws, with many application like traffic flows, fluid mechanics, etc [29], [36], [37], [11], [18]

  • Modeling of attractive dynamics between individuals, pattern formation, with the derivation, the analysis and simulations of hierarchies of mathematical models, from microscopic to macroscopic, [9], [17]

  • Derivation and simulation of hydrodynamic models in biology (biofilms growth, intestinal gut), partly in collaboration with INRA, [4], [7], [16], [41], [2]

  • Modeling and simulation of compositional multiphase flows in porous media, with many indisutrial collaborations with ANDRA< BRGM, EdF... [22], [32], [23], [33], [21], [34], [39], [42], [6], [20]

  • Analysis of Finite Volume schemes in fluid mechanics [35], [15], [12], [38]

  • Domain decomposition methods [43], [31]

  • Many particles systems, effect of stochasticity [27], [1], [28], [8], [13], [10], [19], [3]