A front-tracking method for motion by mean curvature with surfactant, Advance in Applied Mathematics and Mechanics, 1(2): 288-300 (2009).pdf
Optical Fiber Drawing and Dopant Transport, SIAM Journal on Applied Mathematics, 69(2): 330-347 (2008).pdf
Thermal Instability
in Drawing Viscous Threads, Journal of Fluid Mechanics, 570: 1-16 (2007).pdf
Extensional Flows
with Viscous Heating, Journal of Fluid Mechanics, 571: 359-370 (2007).pdf
On the Formation of Glass Microelectrodes, SIAM Journal on Applied Mathematics, 67 (3): 630-666 (2007).pdf
Stretching
of Heated Threads with Temperature-Dependent Viscosity: Asymptotic
Analysis, Discrete and Continuous Dynamical Systems, 7 (3): 553-572 (2007).pdf
Heat-Induced Stretching of a Glass Tube under Tension, SIAM Journal on Applied Mathematics, 63 (5): 1499-1519 (2003).pdf
Multi-phase flows/Moving interface problems
Numerical simulation for a droplet fission process of
electrowetting on dielectric device,
Communications in Computational Physics, to appear.pdf
An immersed boundary method for interfacial
flows with insoluble surfactant, Journal of Computational Physics, 227(15): 7279-7293 (2008).pdf
Numerical Study of Heat and Moisture Transfer in
Textile Materials by a Finite Volume Method, Communications in Computational Physics, 4: 929-948 (2008).pdf
Stability Analysis of the Immersed Boundary Method for a
Two-dimensional Membrane with Bending Rigidity, Communications in Computational Physics, 3: 704-723 (2008).pdf
Mositure Transport in Fibrous Clothing Assemblies, Journal of Engineering Mathematics, 61: 35-54 (2008).pdf
Mositure Transport and Diffusive Instability during Bread Baking, SIAM Journal on Applied Mathematics, 68: 222-238 (2007).pdf
Numerical Study of Mass Transfer of Ozone Dissolution in Bubble Plumes
with an Euler-Lagrange Method, Chemical Engineering Sciences, 62: 1081-1093 (2007).pdf
Computation
of a Moving Drop/Bubble on a Solid Surface Using a Front-Tracking Method, Communication on Mathematical Sciences, 2, 535-552 (2004).pdf
PHYSALIS: A New Method for Particle Flow Simulation. III. Convergence Analysis for Two Diemsnional Flows, Journal of Computational Physics, 189 (2), 493-511 (2003).pdf
Crystal growth/Free boundary
Semi-analytic solution for thermoelastic problem
with cubic anisotropy, Journal of Crystal Growth, 310(19):4373-4384 (2008). pdf
A Thermal Elastic Model for Constrained Crystal Growth with Facets,
submitted. pdf
A Thermal Elastic Model for Directional Crystal Growth with Weak Anisotropy, SIAM Journal on Applied Mathematics, 69(1): 283-304 (2008). pdf
Thermal Stress Reduction for a Czochralski Grown Single Crystal, Journal of Engineering Mathematics, 59:1-23 (2007). pdf
A Semi-Analytical Model for the Cz Growth of Type III-V Compounds, SIAM Journal on Applied Mathematics, 66 (5), 1533 (2006).ps
Grown-in Defects in InSb Crystals: Models and Computation, Communications in Computational Physics, 1 (3), 511-527 (2006).pdf
Finance/insurace
Complete Market Valuation of the Ruin-Contingent Life Annuity (RCLA), IFID Working Paperpdf
A Different Perspective on Retirement Income Sustainability: Introducing the Ruin Contingent Life Annuity (RCLA), J. Wealth Management, 11 (4), 89-96 (2009) pdf
Lifetime Ruin Minimization: Should Retirees Hedge Inflation
or Just Worry About It? Working Paper.pdf
Portfolio Choice and Mortality-Contingent Claims: The General HARA Case, Journal of Banking and Finance, 32, 2444-2452 (2008). pdf
Portfolio Selection and Life Insurance, Journal of Risk and Insurance, 75 (4), 848-872 (2008).pdf
Ruined Moments in Your Life: How Good Are the Approximation, Insurance: Economics and Mathematics, 34, 421-447 (2004).pdf
Medcine/biology
Influenza Viral Membrane Deformation due to Refolding of HA-protein: Two-dimensional Model and Analysis Cell, Advance in Applied Mathematics and Mechanics, to appear. pdf
The lipid bilayer at the mesoscale: a physical continuum model, Communications in Computational Physics, 6(3), 655-672 (2009). pdf
Modeling HA-protein Mediated Pre-fusion of an Influenza Virus into a Healthy Cell, Mathematical Medicine and Biology, 24, 251-270 (2007). pdf
Cortical spreading depression: An enigma, European Physical Journal, Special Topics, 147, 287 (2007). pdf
Spatial Buffering in Brian-Cell Micro-Environment, Mathematical Biosciences and Engineering, 2 (4), 675-702 (2005).pdf
Aggregation
and Heterogeneity from the Nonlinear Interaction of Birth, Maturation and
Spatial Migration, Journal of Nonlinear Analysis, Ser. B 4 (2), 287-300 (2003).pdf
Asymptotic Speed of Propagation of Wave Fronts in a Lattice Delay Differential
Equation with Global Interaction, IMA Journal of Applied Mathematics 68 (4), 409-439 (2003).pdf
Asymptotic Speed of Propagation of Wave Fronts in a 2D Lattice Delay Differential
Equation with Global Interaction, Canadian Applied Mathematics Quarterly 11 (4), 377-414 (2003).
Others
Diffusion in a Cellular Medium: A
(1+1)-Dimensional Model,
submitted.
pdf
An Immersed Boundary Method for Restricted Diffusion with
Permeable Interfaces, Journal of Computational Physics 228(15), 5317-5322 (2009).
pdf
Systems of Coupled Diffusion Equations
with Degenerate Nonlinear Source Terms:
Linear Stability and Traveling Waves, Discrete and Continuous Dynamical Systems, 23 (1/2), 561-569 (2009).pdf
Simple Models for an Injection Molding System, Canadian Applied Mathematics Quarterly 12 (4), (2004).pdf
