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Applied Mathematics

I blend mathematical and numerical analysis, and challenging applications with insightful laboratory experiments, to advance science:

  • Goal: put my eye catchers above in mathematical & numerical models! Why? To advance hazard predictions for our coastal defense.
  • Mathematical analysis of partial differential equations (PDE's), in particular hyperbolic ones with shocks.
  • Mathematical theory of variational and Hamiltonian dynamics for PDE's, especially fluids, and numerical discretization.
  • Computational Fluid Mechanics and numerical analysis.
  • Geophysical applications in volcanology, granular flows, coastal and atmospheric dynamics, with own-to-Earth laboratory experiments on: granular, hydraulic & slurry flows.