Research papers

  1. C. Perez-Arancibia, L. M. Faria, C. Turc, Harmonic density interpolation methods for high-order evaluation of Laplace layer potentials in 2D and 3D, submitted (arXiv preprint).
  2. O. Mickelin, S Jonasz, K. Burns, D. Lecoanet, G.M. Vasil, L. M. Faria, J. Dunkel,  Anomalous chained turbulence in actively driven flows on spheres, Physical Review Letters, 2018 (arXiv preprint).
  3. L. M. Faria, A model for Faraday pilot waves over variable topography, Journal of Fluid Mechanics, 2017 (arXiv preprint).
  4. G Pucci, D.M. Harris, L. M. Faria, J.W.M. Bush, Walking droplets passing through single- and double-slits, Journal of Fluid Mechanics, 2017 (to appear).
  5. L. M. Faria,  R. R. Rosales, Equation level matching: An extension of the method of matched asymptotic expansion for problems of wave propagation, Studies in Applied Math,  2017  (arXiv preprint).
  6. G. Pucci, P. J. Saenz, L. M. Faria, John W. M. Bush, Non-specular reflection of walking droplets, Journal of Fluid Mechanics, 2016.
  7. L. M. Faria, A. R. Kasimov, R. R. Rosales, Study of a model equation in detonation theory: multidimensional effects, SIAM Journal on Applied Mathematics, 2016 (arXiv preprint here).
  8. L. M. Faria, A. R. Kasimov, R. R. Rosales, Theory of weakly nonlinear self-sustained detonationsJournal of Fluid Mechanics, 2015 (arXiv preprint).
  9. R. Semenko, L. M. Faria, A. R. Kasimov, B. S. Ermolaev, Set-valued solutions for non-ideal detonation, Shock Waves, 2015 (arXiv preprint).
  10. L. M. Faria, A. R. Kasimov, Qualitative modeling of the dynamics of detonations with lossesProceedings of the Combustion Institute, 2015 (arXiv preprint).
  11. L. M. Faria, A. R. Kasimov, R. R. Rosales, Study of a model equation in detonation theory,  SIAM Journal on Applied Mathematics, 2014 (arXiv preprint).
  12. A. R. Kasimov, L. M. Faria, R.R. Rosales, Model for shock wave chaosPhysical Review Letters, 2013 (arXiv preprint).

Ph.D. thesis