Reacting flows: multi-scale analysis of complex flow configurations and chemical kinetics mechanisms; interaction of transport with chemistry, algorithmic identification of ignition and pollutants formation mechanisms, construction of reduced mechanisms, identification of main reaction paths, processes driving the system, processes in equilibrium, or dormant processes. Applications in laminar combustion, ignition, air pollution (hydrogen, methane, n-heptane, surrogate fuels, biomass, NOx etc).

Development of computational algorithms for (i) the asymptotic analysis of multi-scale and complex mathematical models, (ii) the acquisition of relevant physical understanding, (iii) the solution of very large systems of stiff ODEs and PDEs and (iv) assessing the robustness of complex dynamical systems. Applications: reacting flows, systems biology and other processes (adsorption, mechanical oscillators, etc).

Systems biology: multi-scale analysis of complex cellular networks (circadian cycle, glycolysis mechanism, NF-kB mechanism, FGF signaling, neuron signaling). Algorithmic acquisition of systems-level understanding.