Research Interests
My primary area of interest is in PDE models for the behavior of thin liquid films with mixtures of particles,
such as mixing and separation of particles in suspensions, deposition in evaporating films
and instabilities in spreading films. I am interested in asymptotics and numerical methods for
non-linear diffusion equations and hyperbolic conservation laws such as the equations that arise in
lubrication models for multi-phase flows.
Teaching
Publications
- J. Wong, M. Lindstrom and A.L. Bertozzi, Fast equilibration dynamics of viscous particle-laden flow in an inclined channel. Journal of Fluid Mechanics,
2019, 879 : 28-53. ( preprint , doi )
- Taranets, Roman and J. Wong. Existence of weak solutions for particle-laden flow with surface tension.
Discrete \& Continuous Dynamical Systems - A, 2018, 38 (10) : 4979-4996.
( preprint , doi )
- Mavromoustaki, A., L. Wang, J. Wong and A. L. Bertozzi. Modeling and simulation of particle-laden
flow with surface tension. Nonlinearity 31.7 (2018)
( preprint , doi )
- J. Wong. and A. L. Bertozzi, A conservation law model for bidensity suspensions on an
incline. Physica D: Nonlinear Phenomena 330 (2016): 47-57.
( preprint , doi )
- Lee, S., J. Wong and A. L. Bertozzi. Particle laden flows of bidensity suspensions. Mathematical Modelling
and Numerical Simulation of Oil Pollution Problems, The Reacting Atmosphere Volume 2, pp. 85-97,
Mattias Ehrhardt, Ed., 2015. link
