I am the course coordinator of MATH 222: Differential equation in Spring 2016
and Fall 2016.
Here are links to these two courses
Spring 2016,
Fall 2016.

I taught M611 and M211 in Fall 2013.

M611, Numerical Methods for Engineers
(Graduate level), Fall Semester 2013

Here are a few courses I've taught in the past.

M651, Applied Mathematics -
Methods 1, Fall Semester 2011

I have organized the fluid seminar from Fall 2005 to Spring 2010.

In addition, I have also served on the library committee and as advisors
for math minors, math majors, and two graduate students (Herve Nganguia and
Szu-Pei Fu).

Services for the community

I have been an active referee
for a dozen of top-ranked journals and have served on panels for
grants for several funding agencies.

(in postscript or pdf format, may need to gunzip in order to view or print;
please email me if you are having trouble with these files)

Dissertation
"On the miscible Rayleigh-Taylor instability". Click here for the abstract, and here for the main part of the thesis in pdf format (1.0MB).

Boundary conditions at a gel-fluid interface (published
version) , Physical Review Fluids, 5, 2020, 124304.

Simulation of multiscale hydrophobic lipid dynamics via efficient integral
equation methods (arXiv
version)
, SIAM Journal of Multiscale Modeling, 18(1), 2020, pages 79-103.

Primary cilia have a length-dependent persistence length
(reprint) , 10.1007/s10237-019-01220-7, Biomechanics and Modeling in
Mechanobiology, 19(2), 2020, pages 445-460.

Hydrodynamics and rheology of a vesicle doublet suspension, (arXiv version),
4, 103601, Physical Review Fluids, September 2019.

Effects of surfactant transport on electrodeformation of a viscous drop (preprint version) ,
99, 063104, Physical Review E, June 2019.

A slightly deformable Darcy drop in linear flows (preprint version) ,
4, 063601, Physical Review Fluids, June 2019.

Electrohydrodynamics of leaky dielectrics as the weak electrolyte limit of
an electrodiffusion model, with Y. Mori, Journal of Fluid Mechanics, 855, 67-130,
September 2018.

Long-wave dynamics of an elastic sheet lubricated by a thin liquid film on a wetting substrate, with H. A. Stone, Physical Review Fluids, 2, 064001,
June 2017.

On the gating of mechanosensitive channels by fluid shear stress, with Z.
Peng, O. Pak, Z. Feng and A. Liu, Acta Mech. Sin., 32, 1012-1022,
October 2016 (online).

Lennard-Jones type pair-potential method for coarse-grained lipid bilayer
membrane simulations in LAMMPS (.pdf), with S.-P. Fu, Z. Peng, H. Yuan and R. Kfoury,
Computer Physics Communications, 210, 193-203, October 2016 (online).

Electrohydrodynamics of a viscous drop with inertia, with H. Nganguia, A.
Layton, W.-F. Hu and M.-C. Lai, Phys. Rev. E, 93, 053114, May 2016.

Vesicle electrohydrodynamic simulations by coupling immersed boundary and
immersed interface methods, with W.-F. Hu, M.-C. Lai and Y. Seol, J. Comp. Phys., 317, 66-81, 2016.

The primary cilium is a self-adaptable, integrating nexus for mechanical
stimuli and cellular signaling (.pdf), BiolOPEN, with
An. M. Nguyen and Christopher R. Jacobs, 4(12), 1733-1738, 2015.

Near-wall dynamics of concentrated hard-sphere suspensions: Comparison of
evanescent wave DLS experiments, virial approximation and simulations, Soft
Matter, with Y. Liu, J. Blawzdziewicz, B. Cichocki, J. K. G. Dhont, M. K.
Lisicki, E. Wajnryb and P. Lang, DOI: 10.1039/C5SM01624J, 2015.

Gating of a mechanosensitive channel due to cellular flows (.pdf),
Proceedings of the National Academy of Sciences of the United States of
America, with On Shun Pak, S. Veerapaneni, G. Marple and H. Stone,
112, 1512152112, 2015.

Efficient Brownian Dynamics Simulation of A Single DNA with Hydrodynamic
Interactions in Linear Flows
(.pdf),
Phys. Rev. E, with S.-P. Fu and S. Jiang,
91, 063008, 2015.

An Immersed Interface Method for Axisymmetric Electrohydrodynamic
Simulations in Stokes Flow, CiCP, with H. Nganguia, A. T. Layton, W.-F. Hu and
M.-C. Lai, 18, No. 2, pp 429-449, 2015.

Electrohydrodynamic instability of a capacitive elastic membrane
(.pdf), Phys.
Fluids, with M. J. Miksis, 27, 022102, 2015.

A hybrid immersed boundary and immersed interface method for
electrohydrodynamic simulations
(.pdf),
J. Comp. Phys., with Wei-Fan Hu and Ming-Chih
Lai, 282, 47-61, 2015 (available online on November 11, 2014).

Multiscale modeling of primary cilia, Multiscale Modeling in Biomechanics and Mechanobiology, (Edited by Surranu De, Wonmuk Huang and Ellen Kuhl), published by Springer, 2014.

Long-wave Dynamics of an Inextensible Planar Membrane in an Electric Field
(.pdf),
J. Fluid Mech., 751, 406-431, 2014.

Dynamics of the Primary Cilium in Time-Periodic Flows
(.pdf),
Contemporary Mathematics, 628, 91, 2014.

Equilibrium Electrodeformation of a Spheroidal Vesicle in an AC Electric
Field (.pdf),
Phys. Rev. E, 88, 052718, 2013.

Equilibrium Electro-deformation of a Surfactant-laden Viscous Drop
(.pdf),
with Herve Nganguia, P. M. Vlahovska, Jerzy Blawzdziewcz, J. Zhang and H. Lin,
Phys. Fluids, 25, 092106, 2013.

Dynamics of the Primary Cilium in Shear Flow
(.pdf),
with M. Downs and C. R. Jacobs,
Biophysical Journal, 103, 629-639, 2012.

Modeling a semi-flexible filament in cellular Stokes flow using regularized
Stokeslets (.pdf),
with E. L. Bouzarth and A. T. Layton,
Int. J. Numer. Meth. Biomed. Engng., 27, 2021-2034, 2011.

Dynamics of a compound vesicle in shear flow
(.pdf),
with S. Veerapaneni, P. Vlahovska and J. Blawzdziewicz,
Physical Review Letters, 106, 158103, 2011.

Dynamics of a non-spherical microcapsule with incompressible interface in shear flow,
with P. Vlahovska, G. Danker and C. Misbah,
Journal of Fluid Mechanics, 678, 221-247, 2011.

Dynamics of a semiflexible polar filament in Stokes flow,
Physical Review E, 82, 016309, 2010.

Nonlinear hydrodynamic phenomena in Stokes flow regime
with J. Blawzdziewicz, R. Goodman, N. Khurana, E. Wajnryb,
Physica D, 239, (14) 1214-1224, 2010.

Influence of surfactant solubility on the deformation and breakup of a
bubble or capillary jet in a viscous fluid
(.pdf),
with M. R. Booty, M. Siegel and J. Li,
Physics of Fluids, 21, 072105, 2009.

Hydrodynamic interactions between two semi-flexible in-extensible filaments in Stokes flow
(.pdf), Physical Review E,
79, 046317, 2009.

Hysteretic and chaotic dynamics of viscous drops in creeping flows with rotation
(.pdf),
with Jerzy Blawzdziewicz, V. Cristini and R. H. Goodman, Journal of Fluid Mechanics, 607, 209-234, 2008.

Influence of insoluble surfactant on the deformation and breakup of a bubble or thread in
a viscous fluid
(.pdf),
with M. Hameed, M. Siegel, J. Li, M. R. Booty and D. T. Papageorgiou, Journal of Fluid Mechanics, 594, 307-340, 2008.

A stretch-coil transition and transport of fibers in cellular flows
(.pdf),
with Mike Shelley, Physical Review Letters, 99, 058303, 2007.

Limits of the potential flow approach to the single-mode Rayleigh-Taylor
problem (.pdf),
with P. Ramaprabhu, Guy Dimonte, A. C. Calder and B. Fryxell,
Physical Review E, 74, 74, 066308, 2006.

Surface tension in incompressible Rayleigh-Taylor mixing flow
(.pdf),
with F. Ham, Journal of Turbulence,
7 (Number 71), 1-23, 2006.

Stratified Kolmogorov Flow: Part II
(.pdf),
with N. Balmforth,
Journal of Fluid Mechanics,
528, 23-42, 2005.

Registration-Based Morphing of Active Contours for Segmentation
of CT Scans (.pdf),
with D. Levy, Mathematical Biosciences and Engineering, 2, 79-96, 2005.

A comparative study of the turbulent Rayleigh-Taylor instability
using high-resolution 3D numerical simulations: The Alpha-Group
collaboration (.pdf), with G. Dimonte and the alpha-group,
Physics of Fluids, 16(5), 1668-1693, 2004.

Weakly non-linear analysis of wind-driven gravity waves (.pdf),
with A. Alexakis and R. Rosner, Journal of Fluid Mechanics,
503 171-200, 2004.

A hybrid Eulerian-Lagrangian method for LES of atomizing spray,
with F. Ham, S. Apte and M. Herrmann, Advances in Fluid Mechanics,
37 313, 2004.

Whirling and defect chaos in non-Boussinesq convection,
with H. Riecke and W. Pesch, New Journal of Physics,
5135.1-135.16, 2003.

Penta-hepta defect chaos in a model for rotating hexagonal
convection (.pdf), with H. Riecke, Physical Review Letters, 90, 134502, 2003.

Induced defect nucleation and side-band instabilities in hexagons
with rotation and mean flow (.pdf), with H. Riecke, Physica D, 176,
107-124, 2003.

Universality of scalar statistics in stably stratified turbulence
(.pdf),
with S. Wunsch, Physical Review E, 66,016306, 2002.

Mean flow in the hexagonal convection: stability and nonlinear dynamics,
with H. Riecke (.pdf), Physica D 163, 166-183, 2002.

Shear instability of fluid interfaces: Stability analysis (.pdf), with
A. Alexakis and R. Rosner, Physical Review E, 65, 026313, 2002.

Stratified Kolmogorov flow (.pdf),
with N. Balmforth, Journal of Fluid Mechanics, 450, 131-167, 2002.

On the C/O Enrichment of Novae Ejecta, with R. Rosner, A. Alexakis,
J. Truran and W. Hilderbrandt, Astrophysical Journal Letters,
562, L177-L179, 2001.

On the miscible Rayleigh-Taylor instability: two and three dimensions
(.pdf),
with H. Tufo, A. Dubey and R. Rosner, Journal of Fluid Mechanics,
447, 377-408, 2001.

Flash code: Studying astrophysical thermonuclear flashes, with
R. Rosner and the FLASH team, Computing in Science and Engineering,
2, 33-41, 2000.

Numerical simulation of double-diffusive convection in a
rectangular box, with R. Rosner, Physical Review E, 61, 2676-2694, 2000.

Linear and weakly nonlinear analysis of doubly diffusive vertical
slot convection, with R. Rosner, Physical Review E, 57, 5554-5563, 1998.

Linear stability analysis of doubly-diffusive vertical slot convection,
with R. Rosner, Physical Review E, 57, 1183-1186, 1998.

Conference Proceedings (* = refereed)

Stratified Kolmogorov flow, in Stirring and Mixing, 1999 Summer Study Program in Geophysical Fluid Dynamics , Woods Hole Oceanographic Institution. Available from http://gfd.whoi.edu/.

*Transition from Eulerian to Lagrangian description of multiphase flows using the particle
level set method, ILASS Americas 15th annual conference on liquid atomization and spray systems, Monterey, CA, May 2003.

*Stratified Kolmogorov flow, with N. Balmforth, Proceedings of the 12th Taylor-Couette Conference, September, 2001.

*On the miscible Rayleigh-Taylor instability: 2D versus 3D, with H. Tufo, A. Dubey and R. Rosner,
Proceedings of the 2000 ICTAM meetings at Chicago, September, 2000.

Technical Reports (* = referreed)

*Turbulent mixing of multiphase flows, with J. Ferziger, F. Ham and M. Herrmann, CTR Annual Review Brief, 2003.

*Subgrid scale modeling in solar convection simulations using ASH, with M. Miesch and N. Mansour, CTR Annual Review Brief, 2003.

*A Cartesian adaptive level set method for two-phase flows, with F. Ham, CTR Annual Review Brief, 2003.

*Interaction between turbulent flow and free surfaces, with F. Ham and N. Mansour, CTR Annual Review Brief, 2002.