Recent Publications

  • Spatially locallized structures in diblock copolymer mixtures , submitted (2008).
  • Long time evolution of aeolian sand dune fields: Influence of dune formation and collision, with S. Diniega and S. Byrne, Geomorphology (2009).
  • Coarsening and self-organization in dilute diblock copolymer melts and mixtures , with R. Choksi, Physica D, Vol. 238 (2009).
  • Viscosity solutions for a model of contact line motion , with I. Kim, Interfaces and Free boundaries (2009).
  • Ostwald Ripening in Thin Film Equations , SIAM J. Appl. Math. (2008).
  • Ostwald Ripening of Droplets: The Role of Migration , w/ F. Otto, T. Rump. D. Slepcev, Euro. J. Appl. Math. (2008).
  • The dynamics of pendant droplets on a one dimensional surface, Phys. Fluids, Vol. 19, (2007).
  • A Diffuse Interface Model for Electrowetting Droplets in a Hele-Shaw Cell , w/ H.-W. Lu, A. Bertozzi, C.-J. Kim, JFM, Vol. 590, 411-435 (2007).
  • Homogenization of contact line dynamics, Int. Free Bound., Volume 8, (2006).
  • Grain boundary motion arising from the gradient flow of the Aviles-Giga functional , Physica D,Volume 215, pp. 80-98 (2006).
  • A boundary integral formulation of quasi-steady fluid wetting, J. Comp. Phys., 207, pp. 529-541 (2005).
  • Collision vs. collapse of droplets in coarsening of dewetting thin films, with T. P. Witeslski, Physica D, 209, 80-104 (2005).
  • Variational models for moving contact lines and the quasi-static approximation , Euro. J. Appl. Math, 16, pp. 1-28 (2005).
  • Spreading of droplets under the influence of intermolecular forces, Phys. of Fluids, Vol.15, pp. 1837-1842 (2003).
  • Coarsening Dynamics of Dewetting Films, with T. P. Witelski, Phys. Rev. E, Vol. 67, 016302 (2003).
  • A Diffuse Interface Approach to Hele-Shaw Flow , Nonlinearity , Vol. 16, 1-18 (2003).
  • Solute Trapping and the Non-equilibrium Phase Diagram for Solidification of Binary Alloys , Physica D , 151 (1-4) (2001) pp. 253-270.
  • Nonlinear Preconditioning for Diffuse Interfaces , Journal of Computational Physics, Vol. 174, No. 2, Dec 2001, pp. 695-711.
  • Rapid Growth and Critical Behavior in Phase Field Models of Solidification, European J. Appl. Math, Vol. 12, pp. 39-56, (2001).
  • Dual Fronts in a Phase Field Model, with R. Almgren, Physica D , 146, pp. 328-340 (2000).
  • Traveling Waves in Rapid Solidification, Elec. J. Diff. Eq. , 2000, #16, pp. 1-28 (2000).

    • Last posting on this site: December 2008.