Stretching of viscous threads at low
Reynolds numbers, Journal of Fluid Mechanics, to appear.pdf
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, 7, 1076-1094 (2010).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
A Thermal Elastic Model for Constrained Crystal Growth with Facets, Journal of Engineering Mathematics, 69, 71-90 (2011). pdf
Semi-analytic solution for thermoelastic problem
with cubic anisotropy, Journal of Crystal Growth, 310(19):4373-4384 (2008). 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
Lifetime Ruin Minimization: Should Retirees Hedge Inflation
or Just Worry About It? Journal of Pension Economics and Finance, to appear. pdf
SPENDING RETIREMENT ON PLANET VULCAN:
The Impact of Longevity Risk Aversion on Optimal Withdrawal Rates, Financial Analyst Journal (2010) pdf
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
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
A Simplified Neuronal Model for the Instigation and
Propagation of Cortical Spreading Depression, Advance in Applied Mathematics and Mechanics, to appear.
pdf
A Continuum Neuronal Model for the Instigation and Propagation of Cortical Spreading Depression, Bulletin of Mathematical Biology, to appear.
pdf
Effect of Ocean Iron Fertilization on the Phytoplankton Biological
Carbon Pump, Advance in Applied Mathematics and Mechanics, 3(1), 52-64 (2011).
pdf
Diffusion in a Cellular Medium: A
(1+1)-Dimensional Model, Bulletin of Mathematical Biology, 73(7), 1682- (2011).
pdf
Coarse Grained Molecular Dynamics Simulation of
Interaction between Hemagglutinin Fusion Peptides
and Lipid Bilayer Membranes, Advance in Applied Mathematics and Mechanics, 2(4), 430-450 (2010).
pdf
The Geometry and Dynamics of Binary Trees, Mathematics and Computers in Simulation, to appear. draft pdf
Influenza Viral Membrane Deformation due to Refolding of HA-protein: Two-dimensional Model and Analysis Cell, Advance in Applied Mathematics and Mechanics, 2(2), 160-182 (2010). 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
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
