Research interests

My research spans a broad spectrum of topics in the following disciplines:

• Theoretical and computational fluid dynamics
• Transport phenomena
• Biomechanics, biofluid-dynamics, and blood flow
• Materials science
• Applied mathematics and scientific computing
• Computer Science
• Educational software

Further information can be found in the published papers and books shown on this page.

Books

  1. Pozrikidis, C. (1992) Boundary Integral and Singularity Methods for Linearized Viscous Flow. Cambridge University Press.

  2. Pozrikidis, C. (1997, 2011) Introduction to Theoretical and Computational Fluid Dynamics. First Edition (1997), Second Edition (2011), Oxford University Press.

  3. Pozrikidis, C. (1998, 2008) Numerical Computation in Science and Engineering. Oxford University Press. First Edition (1998), Second Edition (2008), Greek translation (2005), Tziolas Press.

  4. Pozrikidis, C. (1999) Little Book of Streamlines. Academic Press.

  5. Pozrikidis, C. (2001, 2009) Fluid Dynamics: Theory, Computation and Numerical Simulation. First Edition (2001), Kluwer, Second Edition (2009), Springer.

  6. Pozrikidis, C. (2002) A Practical Guide to Boundary-Element Methods with the Software Library BEMLIB. Taylor & Francis/CRC Press.

  7. Pozrikidis, C. (2005, 2014) Introduction to Finite and Spectral Element Methods using Matlab. First Edition (2005), Second Edition (2014), Chapman & Hall/CRC.

    A solutions manual is available. Please contact the Publisher.

  8. Pozrikidis, C. (2007) Introduction to C++ Programming and Graphics. Springer.

  9. Pozrikidis, C. (2012) XML in Scientific Computing. Taylor & Francis.

  10. Pozrikidis, C. (2014) An Introduction to Grids, Graphs, and Networks. Oxford University Press.

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Edited books

  1. Pozrikidis, C. (Ed.) (2002) Modeling and Simulation of Capsules and Biological Cells. Taylor & Francis/CRC Press.

  2. Pozrikidis, C. (Ed.) (2010) Computational Hydrodynamics of Capsules and Biological Cells. Taylor & Francis/CRC Press.

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Book chapters and review articles


  1. Pozrikidis, C. (1995) Stokes flow in the presence of interfaces. In: Power H. (Ed.) Boundary Element Applications in Fluid Mechanics, Computational Mechanics, Southampton.

  2. Pozrikidis, C. (1999) Instability of multi-layer flows. In: Debnath L. & Riahi D.N. (Eds.) Advances in Fluid Mechanics, Nonlinear Instability, Chaos, and Turbulence, Computational Mechanics, Southampton, England.
  3. Pozrikidis, C. (2003) Shell theory for capsules and cells. In: Pozrikidis, C. (Ed.) Modeling and Simulation of Capsules and Biological Cells, Chapman & Hall/CRC.
  4. Pozrikidis, C. (2005) Numerical simulation of three-dimensional bubble oscillations. In: Rahman, M. (Ed.) Advances in Fluid Mechanics, Instability of Flows, 41, 43-78, WIT Press, Southampton.
  5. Pozrikidis, C. (2004) Instability of multi-layer channel and film flows. Adv. Appl. Mech. 40, 179-239.
  6. Pozrikidis, C. (2010) Continuum description of atomic sheets. In: King M. & Gee D. (Eds.) Multiscale Modeling of Particle Interactions: Applications in Biology and Nanotechnology, Wiley.
  7. Pozrikidis, C. (2010) Flow-induced deformation of two-dimensional biconcave capsules. Continuum description of atomic sheets. In: Pozrikidis, C. (Ed.) Computational Hydrodynamics of Capsules and Biological Cells, Chapman & Hall/CRC.
  8. Pozrikidis, C. & Davis, J.M. (2013) Blood flow through capillary networks. In: Becker, S.M. & Kuznetsov A.V.(Eds.) Transport in Biological Media, Elsevier.
  9. Pozrikidis, C. (2015) Flow through a permeable tube. In: Becker, S.M. & Kuznetsov A.V. (Eds.) Heat Transfer and Fluid Flow in Biological Processes, Elsevier.

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Software

I have developed and support several software libraries for research and education in fluid mechanics, computational fluid dynamics, boundary element methods, finite and spectral element methods. Please follow the links below for further details:
  • BEMLIB Boundary Element Library.
  • CFDLAB Computational Fluid Dynamics Laboratory.
  • FDLIB Fluid Dynamics Library.
  • FSELIB Finite and Spectral Element Library.
  • NCSE Numerical Methods Library.
  • SFVM Streamline Flow Visualization with Matlab.

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Research articles

  1. Higdon, J.J.L. & Pozrikidis, C. (1985) The self-induced motion of vortex sheets.  J. Fluid Mech. 150, 201-231.

  2. Pozrikidis, C. & Higdon, J.J.L. (1985) Nonlinear Kelvin-Helmholtz instability of a finite vortex layer. J. Fluid Mech. 157, 225-263.

  3. Pozrikidis, C. (1986) The nonlinear instability of Hill's vortex. J. Fluid Mech. 168, 337-367.

  4. Pozrikidis, C. (1987) Creeping flow in two-dimensional channels. J. Fluid Mech. 180, 494-514.

  5. Pozrikidis, C. (1987) A study of peristaltic flow. J. Fluid Mech. 180, 515-527.

  6. Pozrikidis, C. & Higdon, J.J.L. (1987) Instability of compound vortex layers and wakes. Phys. Fluids 30, 2965-2975.

  7. Pozrikidis, C. (1988) The flow of a liquid film along a periodic wall. J. Fluid Mech. 188, 275-300.

  8. Pozrikidis, C. (1989) A study of linearized oscillatory flow past particles by the boundary integral method. J. Fluid Mech. 202, 17-41.

  9. Pozrikidis, C. (1989) A singularity method for unsteady linearized flow. Phys. Fluids A 1, 1508-1520.

  10. Pozrikidis, C. (1989) Inviscid drops with internal circulation. J. Fluid Mech. 209, 77-92.

  11. Pozrikidis, C. (1990) The instability of a moving viscous drop. J. Fluid Mech. 210, 1-21.

  12. Pozrikidis, C. (1990) The deformation of a liquid drop moving normal to a plane wall. J. Fluid Mech. 215, 331-363.

  13. Pozrikidis, C. (1990) The axisymmetric deformation of a red blood cell in uniaxial straining flow. J. Fluid Mech. 216, 231-254.

  14. Newhouse, L.A. & Pozrikidis, C. (1990) The Rayleigh-Taylor instability of a liquid layer resting on a plane wall. J. Fluid Mech. 217, 615-638.

  15. Pozrikidis, C. & Thoroddsen, S.T. (1991) The deformation of a liquid film flowing down an inclined plane wall over a small particle arrested on the wall. Phys. Fluids A 11, 2546- 2559.

  16. Pozrikidis, C. (1992) The buoyancy-driven motion of a train of viscous drops within a cylindrical tube. J. Fluid Mech. 237, 627-648.

  17. Newhouse, L.A. & Pozrikidis, C. (1992) The capillary instability of annular layers and liquid threads. J. Fluid Mech. 242, 193-209.

  18. Pozrikidis, C. (1993) On the transient motion of ordered suspensions of liquid drops. J. Fluid Mech. 246, 301-320.

  19. Zhou, H. & Pozrikidis, C. (1993) The flow of suspensions in channels: single files of drops. Phys. Fluids A 5, 311-324.

  20. Pozrikidis, C. (1993) Unsteady viscous flow over irregular boundaries. J. Fluid Mech. 255, 11-34.

  21. Zhou, H. & Pozrikidis, C. (1993) The flow of ordered and random suspensions of liquid drops in a channel. J. Fluid Mech. 255, 103-127.

  22. Brady, M. & Pozrikidis, C. (1993) Diffusive transport across irregular and fractal walls. Proc. R. Soc. Lond. A, 442, 571-583.

  23. Kennedy, M., Pozrikidis, C. & Skalak, R. (1994) Motion and deformation of liquid drops, and the rheology of dilute emulsions in shear flow. Computers & Fluids 23, 251-278.

  24. Pozrikidis, C. (1994) The motion of particles in the Hele-Shaw cell. J. Fluid Mech. 261, 199-222.

  25. Pozrikidis, C. (1994) Shear flow over a plane wall with an axisymmetric cavity or a circular orifice of finite thickness. Phys. Fluids 6, 68-79.

  26. Zhou, H. & Pozrikidis, C. (1994) Pressure-driven flow of suspensions of liquid drops. Phys. Fluids 6, 80-94.

  27. Pozrikidis, C. (1994) Effects of surface viscosity on the deformation of liquid drops and the rheology of dilute emulsions in simple shearing flow. J. Non-Newton. Fluid Mech. 51 161-178.

  28. Pozrikidis, C. (1994) A bibliographical note on the unsteady force on a spherical drop. Phys. Fluids 6, 3209.

  29. Zhou, H. & Pozrikidis, C. (1995) Deformation of capsules with incompressible interfaces in simple shear flow. J. Fluid Mech. 283, 175-200.

  30. Li, X., Zhou, H. & Pozrikidi, C. (1995) A numerical study of the shearing motion of emulsions and foams. J. Fluid Mech. 286, 379-404.

  31. Sheth, K. & Pozrikidis, C. (1995) Effects of inertia on the deformation of liquid drops in simple shear flow. Computers & Fluids 24, 101-119.

  32. Zhou, H. & Pozrikidis, C. (1995) Adaptive singularity method for Stokes flow past particles. J. Comp. Phys. 117, 79-89.

  33. Pozrikidis, C. (1995) Finite deformation of liquid capsules enclosed by elastic membranes in simple shear flow. J. Fluid Mehch. 297, 123-152.

  34. Pozrikidis, C. (1996) Computation of periodic Green's functions of Stokes flow. J. Eng. Math. 30, 79-96. Errata

  35. Pozrikidi, C. & Sheth, K. (1996) A note on light transmission through an evolving suspension of liquid drops. Chem. Eng. Comm. 148-150, 477-486.

  36. Li, X. & Pozrikidis, C. (1996) Shear flow over a liquid drop adhering to a solid surface. J. Fluid Mech. 307, 167-190.

  37. Li, X., Charles, R. & Pozrikidis, C. (1996) Simple shear flow of suspensions of liquid drops. J. Fluid Mech. 320, 395-416.

  38. Coulliette, C. & Pozrikidis, C. (1996) Flow due to a point force, and the motion of small particles in a tube with arbitrary cross-section. Phys. Fluids 8, 2019-2031.

  39. Pozrikidis, C. (1997) Shear flow over a protuberance on a plane wall. J. Eng. Math. 31, 29-42.

  40. Pozrikidis, C. (1997) Numerical studies of singularity formation at free surfaces and fluid interfaces in two-dimensional Stokes flow. J. Fluid Mech. 331, 145-167.

  41. Pozrikidis, C. (1997) Unsteady heat or mass transport from a suspended particle at low Peclet number. J. Fluid Mech. 334, 111-133.

  42. Li, X. & Pozrikidis, C. (1997) Effect of surfactants on drop deformation and on the rheology of dilute emulsions in Stokes flow. J. Fluid Mech. 341, 165-194.

  43. Pozrikidis, C. (1997) Instability of two-layer creeping flow in a channel with parallel-sided walls. J. Fluid Mech. 351, 139-165.

  44. Pozrikidis, C. (1998) Numerical studies of cusp formation at fluid interfaces in Stokes flow. J. Fluid Mech. 357, 29-57.

  45. Coulliette, C. & Pozrikidis, C. 1998 Motion of liquid drops through tubes. J. Fluid Mech. 358, 1-28.

  46. Ramanujan, S. & Pozrikidis, C. (1998) Deformation of liquid capsules enclosed by elastic membranes in simple shear flow: Large deformations and the effect of capsule viscosity. J. Fluid Mech. 361, 117-143.

  47. Charles, R. & Pozrikidis, C. (1998) Effect of the dispersed phase viscosity on the simple shear flow of suspensions of liquid drops. J. Fluid Mech. 365, 205-233.

  48. Yon, S. & Pozrikidis, C. (1998) A finite-volume / boundary-element method for interfacial flow in the presence of surfactants, with applications to shear flow past a viscous drop. Computers & Fluids 27, 879-902.

  49. Pozrikidis, C. (1998) Gravity-driven flow of two adjacent layers through a channel and down a plane wall. J. Fluid Mech. 371, 345-376.

  50. Kwak, S. & Pozrikidis, C. (1998) Adaptive triangulation of evolving, closed or open surfaces by the advancing-front method. J. Comp. Phys. 145, 61-88.

  51. Yon, S. & Pozrikidis, C. (1999) Deformation of a liquid drop or gas bubble adhering to a plane wall: Significance of the drop viscosity, and the effect of an insoluble surfactant. Phys. Fluids 11, 1297-1308.

  52. Pozrikidis, C. (1999) Capillary instability and breakup of liquid threads. J. Eng. Math. 36, 255-275.

  53. Pozrikidis, C. (1999) A spectral-element method for particulate Stokes flow. J. Comp. Phys. 156, 360-381.

  54. Pozrikidis, C. (2000) Conductive mass transport from a semi-infinite lattice of particles. Int. J. Heat & Mass Transf. 43, 493-504.

  55. Li, X. & Pozrikidis, C. (2000) Wall-bounded and channel flow of suspensions of liquid drops. Int. J. Multiph. Flow 26, 1247-1279.

  56. Wright, J., Yon, S. & Pozrikidis, C. (2000) Numerical studies of two-dimensional Faraday oscillations of inviscid fluids. J. Fluid Mech. 402, 1-32.

  57. Pozrikidis, C. (2000) Effect of pressure gradient on viscous shear flow over an axisymmetric depression or protuberance on a plane wall. Computers & Fluids 29, 617-637.

  58. Pozrikidis, C. (2000) On the method of functional equations for linear partial differential equations, and the performance of desingularized boundary-element methods. Eng. Anal. Bound. Elem. 24, 3-16.

  59. Pozrikidis, C. (2000) Instability of two annular layers or a liquid thread bounded by an elastic membrane. J. Fluid Mech. 405, 211-241.

  60. Breyiannis, G. & Pozrikidis, C. (2000) Simple shear flow of suspensions of elastic capsules. Theor. Comput. Fluid Dyn. 13, 327-347.

  61. Pozrikidis, C. (2001) Dynamical simulation of the flow of suspensions of two-dimensional particles with arbitrary shapes. Eng. Anal. Bound. Elem. 25, 19-30.

  62. Kwak, S. & Pozrikidis, C. (2001) Effect of surfactants on the instability of a liquid thread or annular layer. Part I. Quiescent fluids. Int. J. Multiph. Flow 27, 1-37. Errata

  63. Kwak, S., Fyrillas, M. M. & Pozrikidis, C. (2001) Effect of surfactants on the instability of a liquid thread. Part II. Extensional flow. Int. J. Multiph. Flow 27, 39-60. Errata

  64. Pozrikidis, C. (2001) Shear flow over a particulate or fibrous plate. J. Eng. Math. 39, 3-24. Errata

  65. Fyrillas, M. M. & Pozrikidis, C. (2001) Conductive heat transport across rough surfaces and interfaces between two conforming media. Int. J. Heat & Mass Transf. 44(9), 1789-1801.

  66. Pozrikidis, C. (2001) Three-dimensional oscillations of inviscid drops induced by surface tension. Computers & Fluids. 30(4), 417-444.

  67. Pozrikidis, C. (2001) Theoretical and computational aspects of the motion of three-dimensional vortex sheets. J. Fluid Mech. 425, 335-366.

  68. Pozrikidis, C. (2001) Interfacial dynamics for Stokes flow. J. Comp. Phys. 169, 250-301.

  69. Kwak, S. & Pozrikidis, C. (2001) Effect of membrane bending stiffness on the deformation of capsules in uniaxial extensional flow. Phys. Fluids 13(5), 1234-1242.

  70. Pozrikidis, C. (2001) Effect of membrane bending stiffness on the deformation of capsules in simple shear flow. J. Fluid Mech. 440, 269-291. Errata

  71. Pozrikidis, C. (2001) Numerical investigation of the effect of surfactants on the stability and rheology of emulsions and foam. J. Eng. Math. 41, 2637-258.

  72. Pozrikidis, C. (2001) Expansion of a compressible gas bubble in Stokes flow. J. Fluid Mech. 442, 171-189.

  73. Pozrikidis, C. (2001) A note on the regularization of the Poisson-Neumann problem. J. Comp. Phys. 172, 1917-923.

  74. Li X. & Pozrikidis, C. (2002) Film flow of a suspension of liquid drops. Phys. Fluids 14(1), 61-74.

  75. Pozrikidis, C. (2002) Boundary element grid optimization for Stokes flow with corner singularities. J. Fluids Eng. 124(1), 22-28.

  76. Pozrikidis, C. (2002) Buckling and collapse of open and closed cylindrical shells. J. Eng. Math. 42, 157-180.

  77. Pozrikidis, C. (2002) Expansion of a two-dimensional foam. Eng. Anal. Bound. Elem. 26, 495-504.

  78. Blyth, M.G. & Pozrikidis, C. (2002) Buckling and collapse of a heavy tube resting on a horizontal or inclined plane. Eur. J. Mech.-A/Solids 21, 831-843.

  79. Pozrikidis, C. (2002) Numerical simulation of three-dimensional bubble oscillations by a generalized vortex method. Theor. Comput. Fluid Dyn. 16, 133-150.

  80. Pozrikidis, C. (2002) Dynamical simulation of the flow of suspensions: wall-bounded and pressure-driven channel flow. Ind. Eng. Chem. Res. 41, 6312-6322.

  81. Pozrikidis, C. (2003) Computation of the pressure inside bubbles and pores in Stokes flow. J. Fluid Mech. 474, 319-337.

  82. Blyth, M.G. & Pozrikidis, C. (2003) Heat conduction from irregular surfaces. Int. J. Heat & Mass Trans. 46, 1329-1339.

  83. Pozrikidis, C. (2003) Deformed shapes of axisymmetric capsules enclosed by elastic membranes. J. Eng. Math. 45, 169-182.

  84. Pozrikidis, C. & Farrow, D. A. (2003) A model of fluid flow in solid tumors. Ann. Biomed. Eng. 31, 181-194.

  85. Pozrikidis, C. (2003) On the relation between the pressure and the projection function for the numerical computation of incompressible flow. Eur. J. Mech. - B/Fluids 22, 105-121.

  86. Li, X. & Pozrikidis, C. (2003) Film flow of a suspension down an inclined plane. Phil. Trans. R. Soc. Lond. A 361, 847-869.

  87. Pozrikidis, C. (2003) Numerical simulation of the flow-induced deformation of red blood cells. Ann. Biomed. Eng. 31, 1194-1205.

  88. Pozrikidis, C. (2003) Effect of surfactants on film flow down a periodic wall. J. Fluid Mech. 496, 105-127.

  89. Pozrikidis, C. (2004) Boundary conditions for shear flow past a permeable interface modeled as an array of cylinders. Computers & Fluids 33, 1-17.

  90. Pozrikidis, C. (2004) A finite-element method for interfacial surfactant transport, with application to the flow-induced deformation of a viscous drop. J. Eng. Math. 49, 163-180.

  91. Pozrikidis, C. (2004) Three-dimensional oscillations of rising bubbles. Eng. Anal. Bound. Elem. 28, 315-323.

  92. Blyth, M.G. & Pozrikidis, C. (2004) Effect of surfactants on the stability of two-layer channel flow. J. Fluid Mech. 505, 59-86.

  93. Blyth, M.G. & Pozrikidis, C. (2004) Evolution equations for the surface concentration of an insoluble surfactant; applications to the stability of an elongating thread and a stretched interface. Theor. Comput. Fluid Dyn. 17, 147-164.

  94. Gradhan, W. S. & Pozrikidis, C. (2004) Analysis of options for mitigating hemodialysis access-related ischemic steal phenomena. Annals Vasc. Surg. 18, 59-65.

  95. Pozrikidis, C. & Blyth, M.G. (2004) Effect of stretching on interfacial stability. Acta Mech. 170, 149-162.

  96. Blyth, M.G. & Pozrikidis, C. (2004) Solution space of axisymmetric capsules enclosed by elastic membranes. Eur. J. Mech. - A/Solids 23, 877-892.

  97. Blyth, M.G. & Pozrikidis, C. (2004) Effect of surfactant on the stability of film flow down an inclined plane. J. Fluid Mech. 521, 241-250.

  98. Pozrikidis, C. (2004) Effect of inertia on the Marangoni instability of two-layer channel flow, Part I: numerical simulations. J. Eng. Math. 50, 311-327.

  99. Blyth, M.G. & Pozrikidis, C. (2004) Effect of inertia on the Marangoni instability of two-layer channel flow, Part II: normal-mode analysis. J. Eng. Math. 50, 329-341.

  100. Pozrikidis, C. (2005) The pressure inside a suspended gas bubble. Acta Mech. 173, 119-130.

  101. Pozrikidis, C. (2005) Resting shape and spontaneous membrane curvature of red blood cells. Math. Med. Biol. 22, 34-52.

  102. Pozrikidis, C. (2005) Orientation statistics and effective viscosity of suspensions of elongated particles in simple shear flow. Eur. J. Mech. - B/Fluids 24, 125-136.

  103. Pozrikidis, C. (2005) Numerical simulation of cell motion in tube flow. Annals Biomed. Eng. 33, 165-178.

  104. Pozrikidis, C. (2005) Effect of membrane thickness on the slip and drift velocity in parallel shear flow. J. Fluids Struct. 20, 177-187.

  105. Blyth, M.G. & Pozrikidis, C. (2005) Effect of pulsations on the stability of a gas column. Theor. Comput. Fluid Dyn. 19, 23-37.

  106. Pozrikidis, C. (2005) Axisymmetric motion of a file of red blood cells through capillaries. Phys. Fluids 17, No 031503.

  107. Pozrikidis, C. (2005) Orbiting motion of a freely-suspended spheroid near a plane wall. J. Fluid Mech. 541, 105-114.

  108. Wu, J.-Z., Yang, Y.-T, Luo, Y.-B. & Pozrikidis, C. (2005) Fluid kinematics on a deformable surface. J. Fluid Mech. 541, 371-381.

  109. Pozrikidis, C. (2005) Computation of Stokes flow due to the motion or presence of a particle in a tube. J. Eng. Math. 53, 1-20. Errata

  110. Blyth, M.G. & Pozrikidis, C. (2005) Stagnation-point flow against a liquid film on a plane wall. Acta Mech. 180, 203-219.

  111. Lee, J. & Pozrikidis, C. (2006) Effect of surfactants on the deformation of drops and bubbles in Navier-Stokes flow. Computers & Fluids 35, 43-60.

  112. Blyth, M.G., Luo H. & Pozrikidis, C. (2006) Stability of axisymmetric core-annular flow in the presence of an insoluble surfactant. J. Fluid Mech. 548, 207-235.

  113. Blyth, M.G. & Pozrikidis, C. (2006) A Lobatto interpolation grid over the triangle. IMA J. Appl. Math. 71, 153-169.

  114. Luo, H. & Pozrikidis, C. (2006) A Lobatto interpolation grid in the tetrahedron. IMA J. Appl. Math. 71, 298-313.

  115. Pozrikidis, C. (2006) A note on the relation between the boundary- and finite-element method with application to Laplace's equation in two dimensions. Eng. Anal. Bound. Elem. 30, 143-147.

  116. Luo, H. & Pozrikidis, C. (2006) Shear-driven and channel flow of a liquid film over a corrugated or indented wall. J. Fluid Mech. 556, 167-188.

  117. Pozrikidis, C. (2006) A spectral collocation method with triangular boundary elements. Eng. Anal. Bound. Elem. 30, 315-324.

  118. Blyth, M.G. & Pozrikidis, C. (2006) Film flow down an inclined plane over a three-dimensional obstacle. Phys. Fluids 18, No 051706.

  119. Pozrikidis, C. (2006) Interception of two spheroidal particles in shear flow. J. Non-Newt. Fluid Mech. 136, 50-63.

  120. Luo, H. & Pozrikidis, C. (2006) Effect of inertia on film flow over oblique and three-dimensional corrugations. Phys. Fluids 18, No 078107.

  121. Pozrikidis, C. (2006) Motion of a spherical particle in film flow. J. Fluid Mech. 566, 465-475.

  122. Pozrikidis, C. (2006) Stokes flow through a twisted tube. J. Fluid Mech. 567, 261-280. Errata

  123. Pozrikidis, C. (2006) Flipping of an adherent blood platelet over a substrate. J. Fluid Mech. 568, 161-172.

  124. Luo, H. & Pozrikidis, C. (2006) Buckling of a flush-mounted plate in simple shear flow. Arch. Appl. Mech. 76, 549-566.

  125. Luo, H., Blyth, M.G. & Pozrikidis, C. (2006) A comparison of interpolation grids over the triangle or the tetrahedron. J. Eng. Math. 575, 263-272.

  126. Blyth, M.G. & Pozrikidis, C. (2007) Stokes flow through a single-screw extruder. AIChE J. 53, 69-77.

  127. Pozrikidis, C. (2007) Hydrodynamics of a vibrating stapes prosthesis in stapedotomy. Eng. Anal. Bound. Elem. 31, 1-9.

  128. Blyth, M.G. & Pozrikidis, C. (2007) A comparative study of the boundary and finite element methods for the Helmholtz equation in two dimensions. Eng. Anal. Bound. Elem. 31, 35-49.

  129. Luo, H. & Pozrikidis, C. (2007) Gravity-driven film flow down an inclined wall with three-dimensional corrugations. Acta Mech. 188, 209-225.

  130. Pozrikidis, C. (2007) Particle motion near and inside an interface. J. Fluid Mech. 575, 333-357.

  131. Pozrikidis, C. (2007) Stokes flow through a coiled tube. Acta Mech. 190 93-114.

  132. Luo, H. & Pozrikidis, C. (2007) Interception of two spheres with slip surfaces in linear Stokes flow. J. Fluid Mech. 581, 129-156.

  133. Luo, H. & Pozrikidis, C. (2007) Buckling of a pre-compressed or pre-stretched membrane. Int. J. Solids Struct. 44, 8074-8085.

  134. Pozrikidis, C. (2007) Interception of two spherical particles with arbitrary radii in simple shear flow. Acta Mech. 194, 213-231.

  135. Treister, Y. & Pozrikidis, C. (2008) Numerical study of equilibrium shapes and deformation of single-wall carbon nanotubes. Comp. Mater. Sci. 41, 383-408.

  136. Luo H., Blyth, M.G. & Pozrikidis, C. (2008) Two-layer flow in a corrugated channel. J. Eng. Math. 60, 127-147.

  137. Hatziavramidis, D. & Pozrikidis, C. (2008) Hydrodynamic analysis of pancreatic islet micro-encapsulation by selective withdrawal. Eng. Anal. Bound. Elem. 32, 11-20.

  138. Pozrikidis, C. (2008) Mechanics of hexagonal atomic lattices. Int. J. Solids Struct. 45, 732-745.

  139. Pozrikidis, C. (2008) Boundary-integral modeling of cochlear hydrodynamics. Int. J. Solids Struct. 24, 336-365.

  140. Luo, H. & Pozrikidis, C. (2008) Buckling of a circular plate resting over an elastic foundation in simple shear flow. J. Appl. Mech. 75(5), No 051007.

  141. Luo, H. & Pozrikidis, C. (2008) Effect of surface slip on Stokes flow past a spherical particle in infinite fluid and near a plane wall. J. Eng. Math. 62, 1-21.

  142. Pozrikidis, C. (2008) Structure of carbon nanorings. Comp. Mater. Sci. 43, 943-950.

  143. Blyth, M.G. & Pozrikidis, C. (2008) Particle encapsulation due to thread breakup in Stokes flow. J. Fluid Mech. 617, 141-166.

  144. Pozrikidis, C. (2009) Effect of the Stone--Wales defect on the structure and mechanical properties of single-wall carbon nanotubes in axial stretch and twist. Arch. Appl. Mech. 79, 113-123.

  145. Luo, H. & Pozrikidis, C. (2009) Numerical simulation of particle encapsulation due to liquid thread breakup. Computers & Fluids 38, 564-571.

  146. Blyth, M.G. & Pozrikidis, C. (2009) Adhesion of a blood platelet to injured tissue. Eng. Anal. Bound. Elem. 33, 695-703.

  147. Pozrikidis, C. (2009) Flow-induced deformation of an elastic membrane adhering to a wall. Int. J. Solids Struct. 46, 3198-3208.

  148. Pozrikidis, C. (2009) Numerical simulation of blood flow through microvascular capillary networks. Bull. Math. Biol. 71, 1520-1541.

  149. Pozrikidis, C. (2009) On the applicability of the Cauchy-Born rule. Comp. Mater. Sci. 46, 438-442.

  150. Pozrikidis, C. (2010) Numerical simulation of blood and interstitial flow through a solid tumor. J. Math. Biol. 70, 75-94.

  151. Pozrikidis, C. (2010) Slip velocity over a perforated or patchy surface. J. Fluid Mech. 643, 471-477.

  152. Pozrikidis, C. & Luo, H. (2010) A note on the buckling of an elastic plate under the influence of simple shear flow. J. Appl. Mech. 77, No 021007.

  153. Mashayek, A. & Pozrikidis, C. (2010) Motion of a spherical particle inside a liquid film. Acta Mech. 210, 27-46.

  154. Pozrikidis, C. (2010) Stokes flow through a permeable tube. Arch. Appl. Mech. 80, 323-333. Comments

  155. Pozrikidis, C. (2010) Interception of two spherical drops in linear Stokes flow. J. Eng. Math. 66, 353-379.

  156. Pozrikidis, C. (2010) Shear flow over cylindrical rods attached to a substrate. J. Fluids Struct. 26, 393-405.

  157. Pozrikidis, C. (2010) Computation of three-dimensional hydrostatic menisci. IMA J. Appl. Math. 75, 418-438.

  158. Pozrikidis, C. (2010) Hydrostatic meniscus between two eccentric circular cylinders. J. Colloid Interf. Sci. 349, 366-373.

  159. Pozrikidis, C. & Juneja, V. (2010) Effect of surface viscosity on the capillary instability of an annular layer or viscous thread. IMA J. Appl. Math. 75, 932-950.

  160. Pozrikidis, C. (2011) A boundary-integral algorithm for adaptive motion planning. Eng. Anal. Bound. Elem. 35, 123-128.

  161. Pozrikidis, C. (2011) Shear flow past slender elastic rods attached to a plane. Int. J. Solids Struct. 48, 137-143.

  162. Pozrikidis, C. (2011) Shape of hexagonal hydrostatic menisci. Int. J. Num. Meth. Fluids 65, 625--637.

  163. Hill, A.I. & Pozrikidis, C. (2011) On the shape of a hydrostatic meniscus attached to a corrugated plate or wavy cylinder. J. Colloid Interf. Sci. 356, 763--774.

  164. Davis, J.M. & Pozrikidis, C. (2011) Numerical simulation of unsteady blood flow through capillary networks. Bull. Math. Biol. 73, 1857--1880.

  165. Pozrikidis, C. (2011) A floating prolate spheroid. J. Colloid Interf. Sci. 364, 248--256.

  166. Pozrikidis, C. & Hill, A.I. (2011) Surfactant-induced instability of a sheared liquid layer. IMA J. Appl. Math. 76, 859--875.

  167. Pozrikidis, C. (2012) Passage of a liquid drop through a bifurcation. Eng. Anal. Bound. Elem. 36, 93--103.

  168. Pozrikidis, C. (2012) Stability of sessile and pendant liquid drops. J. Eng. Math. 72, 1--20.

  169. Pozrikidis, C. & Hill, A.I. (2012) Conduction through a damaged honeycomb lattice. Int. J. Heat & Mass Transf. 55, 2052--2061.

  170. Pozrikidis, C. (2012) Capillary attraction of floating rods. Eng. Anal. Bound. Elem. 36, 836--844.

  171. Davis, J.M. & Pozrikidis, C. (2012) Hydrodynamic instability of a suspension of spherical particles through a branching network of circular tubes. Acta Mechanica 223, 529--540.

  172. Pozrikidis, C. (2012) On the performance of damaged linear networks. J. Appl. Math. Comput. 39, 489--510.

  173. Pozrikidis, C. & Davis, J.M. (2013) Resistance and pressure coefficients for a periodic array of spherical, spheroidal, and cylindrical particles inside a circular tube. IMA J. Appl. Math. 78, 32--58.

  174. Pozrikidis, C. & Hill A.I. (2013) Operational thresholds of disrupted networks. Physica Scripta 87, 015604 (13pp).

  175. Davis, J.M. & Pozrikidis, C. (2013) Stretching of a liquid layer underneath a semi-infinite fluid. J. Eng. Math. 79, 35--50.
  176. Pozrikidis, C. (2013) Leakage through a permeable capillary tube into a poroelastic tumor interstitium. Eng. Anal. Bound. Elem. 37, 728--737.
  177. Pozrikidis, C. & Hill A.I. (2014) Deformation of an elastic substrate due to a sessile drop. Eur. J. Mech.--B/Fluids 43, 90--99.
  178. Davis, J.M. & Pozrikidis, C. (2014) Self-sustained oscillations in blood flow through a honeycomb capillary network. Bull. Math. Biol. 76, 2217--2237.

  179. Davis, J.M. & Pozrikidis, C. (2014) Linear stability of viscous flow above a stretching surface. Arch. Appl. Mech. In Press.

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Research highlights

New algorithm for motion planning based on an analogy with heat transfer. Details are given in Journal article #160. See an animation.

Yogurt and bread

She was about to enter the grocery store when a boy approached her:

``thia (aunt) I am hungry, my stomach is hurting, could you get me something to eat.''

``Come with me in the store and you can pick up whatever you want to eat,'' instinctively she replied.

The boy picked up some bread and she offered to buy him chocolate and cheese.

``I only want yogurt to fill me up'' the boy replied.

They exited the store and she looked over her shoulder, wondering what the boy was going to do.

He sat under a tree and wolfed down the yogurt and bread.

Aisle 14 at Lowe's

They walked silently down aisle 14 and you could sense they had spent a lifetime together.

Blue and black skies over the hospital across the parking lot and in their eyes.

He was still wearing a yellow plastic bracelet with his name and age printer in red.

They picked up a few incandescent light bulbs, enough to last they for a few more years.

Regrets

He noticed a beautiful tatoo around her wrist as she handed him the coffee from the dolar menu.

It means ``regrets'' she explained; then she looked away and whispered ``I have a lot of regrets.''

He had to move on but their eyes crossed as he was exiting the store.

He felt that he knew what she was talking about and understood what she was living without.

The road less traveled

He loved her the most when he realized she would do anything to ease his pain.

He loved her the most when he saw the unremitting child inside her.

He loved her the most when he saw her clanging her pots to scare away a black bear.

She loved him the most when she saw him taking the road less traveled early on.