Publications | Huaxiong Huang, York University

Single-phase flows/Free boundary problems
- Stretching of viscous threads at low Reynolds numbers,
  Journal of Fluid Mechanics, 683, pp. 212-234 (2011). preprint
- A front-tracking method for motion by mean curvature with surfactant,
  Advance in Applied Mathematics and Mechanics, 1(2): 288-300 (2009). preprint
- Optical Fiber Drawing and Dopant Transport,
  SIAM Journal on Applied Mathematics, 69(2): 330-347 (2008). preprint
- Thermal Instability in Drawing Viscous Threads,
  Journal of Fluid Mechanics, 570: 1-16 (2007). preprint
- Extensional Flows with Viscous Heating,
  Journal of Fluid Mechanics, 571: 359-370 (2007). preprint
- On the Formation of Glass Microelectrodes,
  SIAM Journal on Applied Mathematics, 67 (3): 630-666 (2007). preprint
- Stretching of Heated Threads with Temperature-Dependent Viscosity: Asymptotic Analysis,
  Discrete and Continuous Dynamical Systems, 7 (3): 553-572 (2007). preprint
- Heat-Induced Stretching of a Glass Tube under Tension,
  SIAM Journal on Applied Mathematics, 63 (5): 1499-1519 (2003). preprint
Multi-phase flows/Moving interface problems
- A Full Eulerian Fluid-Membrane Coupling Method with a Smoothed Volume-of-Fluid Approach,
  Communications in Computational Physics, 12(2), 544-576 (2012). preprint
- A Constrained Level Set Method for Simulating the Formation of Liquid Bridges,
  Communications in Computational Physics, 12(2), 577-594 (2012). preprint
- Numerical simulation for a droplet fission process of electrowetting on dielectric device,
  Communications in Computational Physics, 7, 1076-1094 (2010). preprint
- An immersed boundary method for interfacial flows with insoluble surfactant,
  Journal of Computational Physics, 227(15): 7279-7293 (2008). preprint
- Numerical Study of Heat and Moisture Transfer in Textile Materials by a Finite Volume Method,
  Communications in Computational Physics, 4: 929-948 (2008). preprint
- Stability Analysis of the Immersed Boundary Method for a Two-dimensional Membrane with Bending Rigidity,
  Communications in Computational Physics, 3: 704-723 (2008). preprint
- Mositure Transport in Fibrous Clothing Assemblies,
  Journal of Engineering Mathematics, 61: 35-54 (2008). preprint
- Mositure Transport and Diffusive Instability during Bread Baking,
  SIAM Journal on Applied Mathematics, 68: 222-238 (2007). preprint
- Numerical Study of Mass Transfer of Ozone Dissolution in Bubble Plumes with an Euler-Lagrange Method,
  Chemical Engineering Sciences, 62: 1081-1093 (2007). preprint
- Computation of a Moving Drop/Bubble on a Solid Surface Using a Front-Tracking Method,
  Communication on Mathematical Sciences, 2, 535-552 (2004). preprint
- PHYSALIS: A New Method for Particle Flow Simulation. III. Convergence Analysis for Two Diemsnional Flows,
  Journal of Computational Physics, 189 (2), 493-511 (2003). preprint
Crystal growth/Free boundary
- A Thermal Elastic Model for Constrained Crystal Growth with Facets,
  Journal of Engineering Mathematics, 69, 71-90 (2011). preprint
- Semi-analytic solution for thermoelastic problem with cubic anisotropy,
  Journal of Crystal Growth, 310(19):4373-4384 (2008). preprint
- A Thermal Elastic Model for Directional Crystal Growth with Weak Anisotropy,
  SIAM Journal on Applied Mathematics, 69(1): 283-304 (2008). preprint
- Thermal Stress Reduction for a Czochralski Grown Single Crystal,
  Journal of Engineering Mathematics, 59:1-23 (2007). preprint
- A Semi-Analytical Model for the Cz Growth of Type III-V Compounds,
  SIAM Journal on Applied Mathematics, 66 (5), 1533 (2006). preprint
- Grown-in Defects in InSb Crystals: Models and Computation,
  Communications in Computational Physics, 1 (3), 511-527 (2006). preprint
Finance/insurace
- Valuation and Hedging of the Ruin-Contingent Life Annuity (RCLA)
  Journal of Risk and Insurance, to appear. preprint
- Strategic Financial Planning Over The Lifecycle, Cambridge University Press, 2012. Book Website
- Optimal Retirement Consumption with a Stochastic Force of Mortality
  Insurance: Mathematics and Economics, to appear. preprint
- Lifetime Ruin Minimization: Should Retirees Hedge Inflation or Just Worry About It?
  Journal of Pension Economics and Finance, 10, pp. 363-387 (2011). preprint
- SPENDING RETIREMENT ON PLANET VULCAN: The Impact of Longevity Risk Aversion on Optimal Withdrawal Rates,
  Financial Analyst Journal, 67, pp. 45-58 (2011). preprint
- Complete Market Valuation of the Ruin-Contingent Life Annuity (RCLA),
  IFID Working Paper preprint
- A Different Perspective on Retirement Income Sustainability: Introducing the Ruin Contingent Life Annuity (RCLA),
  J. Wealth Management, 11 (4), 89-96 (2009) preprint
- Portfolio Choice and Mortality-Contingent Claims: The General HARA Case,
  Journal of Banking and Finance, 32, 2444-2452 (2008). preprint
- Portfolio Selection and Life Insurance,
  Journal of Risk and Insurance, 75 (4), 848-872 (2008). preprint
- Ruined Moments in Your Life: How Good Are the Approximation,
  Insurance: Economics and Mathematics, 34, 421-447 (2004). preprint
Medcine/biology
- A Simplified Neuronal Model for the Instigation and Propagation of Cortical Spreading Depression,
  Advance in Applied Mathematics and Mechanics, 3, pp. 759-773 (2011). preprint
- A Continuum Neuronal Model for the Instigation and Propagation of Cortical Spreading Depression,
  Bulletin of Mathematical Biology, 73(11), pp. 2773-2790 (2011). preprint
- Effect of Ocean Iron Fertilization on the Phytoplankton Biological Carbon Pump,
  Advance in Applied Mathematics and Mechanics, 3(1), 52-64 (2011). preprint
- Diffusion in a Cellular Medium: A (1+1)-Dimensional Model,
  Bulletin of Mathematical Biology, 73(7), 1682- (2011). preprint
- 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). preprint
- The Geometry and Dynamics of Binary Trees,
  Mathematics and Computers in Simulation, to appear. draft preprint
- 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). preprint
- The lipid bilayer at the mesoscale: a physical continuum model,
  Communications in Computational Physics, 6(3), 655-672 (2009). preprint
- Modeling HA-protein Mediated Pre-fusion of an Influenza Virus into a Healthy Cell,
  Mathematical Medicine and Biology, 24, 251-270 (2007). preprint
- Cortical spreading depression: An enigma,
  European Physical Journal, Special Topics, 147, 287 (2007). preprint
- Spatial Buffering in Brian-Cell Micro-Environment,
  Mathematical Biosciences and Engineering, 2 (4), 675-702 (2005). preprint
- Aggregation and Heterogeneity from the Nonlinear Interaction of Birth, Maturation and Spatial Migration,
  Journal of Nonlinear Analysis, Ser. B 4 (2), 287-300 (2003). preprint
- 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). preprint
- 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). preprint
- 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). preprint
- Simple Models for an Injection Molding System,
  Canadian Applied Mathematics Quarterly 12 (4), (2004). preprint