Selected publications

  1. Renormalization group calculation of asymptotically self-similar dynamics (with G. A. Braga and V. Isaia). To appear in Discrete and Continuous Dynamical Systems, 2005. (PDF file)

  2. Three-phase immiscible displacement in heterogeneous petroleum reservoirs (with E. Abreu, J. Douglas Jr., D. Marchesin, and F. Pereira). Submitted to Journal of Applied Numerical Mathematics, 2004. (PDF file)

  3. Stochastic analysis of two-phase immiscible flow in stratified porous media (with V. Artus, B. Noetinger, and F. Pereira). To appear in Computational and Applied Mathematics, 2004. (PDF file)

  4. Transitional waves in three-phase flows in heterogeneous formations (with E. Abreu, D. Marchesin, and F. Pereira). Computational Methods for Water Resources, vol. 1, 609--620, 2004. (PDF file)

  5. On the numerical simulation of three-phase reservoir transport problems (with E. Abreu and F. Pereira). Transport Theory and Statistical Physics, 33: 1--24, 2004.

  6. On the scale-up problem for two-phase flow in petroleum reservoirs (with F. Pereira). Cubo: a Mathematical Journal 6:53--72, 2004.

  7. Renormalization group analysis of nonlinear diffusion equations with periodic coefficients (with G. Braga, J. Moreira, and L. Rolla). SIAM Multiscale Model. Simul. 1:630--644, 2003.

  8. Crossover from nonlinearity controlled to heterogeneity controlled mixing in two-phase porous media flows (with F. Pereira). Computational Geosciences 7:115--135, 2003. (PDF file)

  9. Approximate similarity solutions to the Boussinesq equation (with A. Telyakovskiy and G. Braga). Advances in Water Resources 25:191--194, 2002.

  10. Scaling analysis for two-phase immiscible flow in heterogeneous porous media (with F. Pereira). Computational and Applied Mathematics 17:233--262, 1998.

  11. On the numerical simulation of waterflooding of heterogeneous petroleum reservoirs (with J. Douglas, Jr. and F. Pereira). Computational Geosciences 1:155--190, 1997. (PDF file)

  12. Computational methods for porous-media flows (with M. Allen). Advances in Fluid Mechanics: Fluid Transport in Porous Media, ed. by J.P. du Plessis, 255-302, Computational Mechanics Publications, Southampton, U.K., 1997. (PDF file)

  13. Time dependent anomalous diffusion for flow in multifractal porous media (with J. Glimm, B. Lindquist, F. Pereira, and Q. Zhang). Numerical Methods for the Simulation of Multi-Phase and Complex Flow, ed. by T.M.M Verheggen, 79--89, Lecture Notes in Physics, Vol. 398, Springer-Verlag, New York, 1992. (PDF file)

  14. Characterization of mixing length growth for flow in heterogeneous porous media (with J. Glimm, B. Lindquist, and F. Pereira). Society of Petroleum Engineers paper SPE 21233, 1991.