A Friedman

Articles in Scholarly Journals [Incomplete List]

  1. Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation
    Journal of Mathematical Analysis and Applications, vol. 327, no. 1, pp. 643–664, 2007
  2. One-dimensional free boundary problem for actin-based propulsion of Listeria?
    Journal of Mathematical Analysis and Applications, vol. 328, no. 1, pp. 84–100, 2007
  3. Asymptotic stability for a free boundary problem arising in a tumor model?
    Journal of Differential Equations, vol. 227, no. 2, pp. 598–639, 2006
  4. Bifurcation From Stability to Instability for a Free Boundary Problem Arising in a Tumor Model
    Archive for Rational Mechanics and Analysis, vol. 180, no. 2, pp. 293–330, 2006
  5. Approximate Traveling Waves in Linear Reaction-Hyperbolic Equations
    SIAM Journal on Mathematical Analysis, vol. 38, no. 3, p. 741, 2006
  6. Homogenization of the Cell Cytoplasm: The Calcium Bidomain Equations
    Multiscale Modeling & Simulation, vol. 5, no. 4, p. 1045, 2006
  7. Glioma Virotherapy: Effects of Innate Immune Suppression and Increased Viral Replication Capacity
    Cancer Research, vol. 66, no. 4, pp. 2314–2319, 2006
  8. Mathematical Models and Methods in Applied Sciences, vol. 15, no. 1, p. 95, 2005
  9. Transactions of the American Mathematical Society, vol. 357, no. 12, pp. 4771–4805, 2005
  10. Symmetry-breaking bifurcations for free boundary problems
    Indiana University Mathematics Journal, vol. 54, no. 3, pp. 927–947, 2005
  11. A model of intracellular transport of particles in an axon
    Journal of Mathematical Biology, vol. 51, no. 2, pp. 217–246, 2005
  12. A dynamical system model of neurofilament transport in axons
    Journal of Theoretical Biology, vol. 237, no. 3, pp. 316–322, 2005
  13. Free boundary problems with surface tension conditions
    Nonlinear Analysis, vol. 63, no. 5-7, pp. 666–671, 2005
  14. The Hele-Shaw problem with surface tension in a half-plane: A model problem
    Journal of Differential Equations, vol. 216, no. 2, pp. 387–438, 2005
  15. The Hele–Shaw problem with surface tension in a half-plane
    Journal of Differential Equations, vol. 216, no. 2, pp. 439–469, 2005
  16. Symmetry-Breaking Bifurcations of Charged Drops
    Archive for Rational Mechanics and Analysis, vol. 172, no. 2, pp. 267–294, 2004
  17. Analysis of a model of a virus that replicates selectively in tumor cells
    Journal of Mathematical Biology, vol. 47, no. 5, pp. 391–423, 2003
  18. Nonlinear stability of the Muskat problem with capillary pressure at the free boundary
    Nonlinear Analysis, vol. 53, no. 1, pp. 45–80, 2003
  19. A Free Boundary Problem for an Elliptic–Parabolic System: Application to a Model of Tumor Growth
    Communications in Partial Differential Equations, vol. 28, no. 3-4, pp. 517–560, 2003
  20. Global existence and asymptotic stability for an elliptic-parabolic free boundary problem: An application to a model of tumor growth
    Indiana University Mathematics Journal, vol. 52, no. 5, pp. 1265–1304, 2003
  21. Transactions of the American Mathematical Society, vol. 355, no. 09, pp. 3537–3591, 2003
  22. A Free Boundary Problem for an Elliptic-Hyperbolic System: An Application to Tumor Growth
    SIAM Journal on Mathematical Analysis, vol. 35, no. 4, p. 974, 2003
  23. Mathematical Analysis of a Model for the Initiation of Angiogenesis
    SIAM Journal on Mathematical Analysis, vol. 33, no. 6, p. 1330, 2002
  24. Quasi-static motion of a capillary drop, II: the three-dimensional case
    Journal of Differential Equations, vol. 186, no. 2, pp. 509–557, 2002
  25. Stability of solutions of chemotaxis equations in reinforced random walks
    Journal of Mathematical Analysis and Applications, vol. 272, no. 1, pp. 138–163, 2002
  26. A variational inequality approach to financial valuation of retirement benefits based on salary
    Finance and Stochastics, vol. 6, no. 3, pp. 273–302, 2002
  27. Quasistatic Motion of a Capillary Drop I. The Two-Dimensional Case
    Journal of Differential Equations, vol. 178, no. 1, pp. 212–263, 2002
  28. Head–Media Interaction in Magnetic Recording
    Journal of Differential Equations, vol. 171, no. 2, pp. 443–461, 2001
  29. Analysis of a Mathematical Model of the Growth of Necrotic Tumors
    Journal of Mathematical Analysis and Applications, vol. 255, no. 2, pp. 636–677, 2001
  30. Transactions of the American Mathematical Society, vol. 353, no. 04, pp. 1587–1635, 2001
  31. Mathematical Models and Methods in Applied Sciences, vol. 11, no. 4, p. 601, 2001
  32. ANALYSIS OF THE STICK-SLIP PROBLEM FOR NON-NEWTONIAN FLOWS
    Communications in Partial Differential Equations, vol. 26, no. 3-4, pp. 461–536, 2001
  33. A free boundary problem associated with crystallization of polymers in a temperature field
    Indiana University Mathematics Journal, vol. 50, no. 4, pp. 1609–1650, 2001
  34. Chinese Annals of Mathematics, vol. 21, no. 3, p. 285, 2000
  35. A Free Boundary Problem Arising in a Model of Wound Healing
    SIAM Journal on Mathematical Analysis, vol. 32, no. 4, p. 778, 2000
  36. The flow of a class of Oldroyd fluids around a re-entrant corner
    Journal of Non-Newtonian Fluid Mechanics, vol. 95, no. 2-3, pp. 185–198, 2000
  37. The evolution of stress intensity factors in the propagation of two dimensional cracks
    European Journal of Applied Mathematics, vol. 11, no. 5, pp. 453–471, 2000
  38. Analysis of a mathematical model of the effect of inhibitors on the growth of tumors
    Mathematical Biosciences, vol. 164, no. 2, pp. 103–137, 2000
  39. Stationary Non-Newtonian Fluid Flows¶in Channel-like and Pipe-like Domains
    Archive for Rational Mechanics and Analysis, vol. 151, no. 1, pp. 1–43, 2000
  40. The Evolution of Stress Intensity Factors and the Propagation of Cracks in Elastic Media
    Archive for Rational Mechanics and Analysis, vol. 152, no. 2, pp. 103–139, 2000
  41. Analysis of a mathematical model for the growth of tumors
    Journal of Mathematical Biology, vol. 38, no. 3, pp. 262–284, 1999
  42. The Boundary-value Problem in Domains with Very Rapidly Oscillating Boundary
    Journal of Mathematical Analysis and Applications, vol. 231, no. 1, pp. 213–234, 1999
  43. Analysis of a Mathematical Model of Protocell
    Journal of Mathematical Analysis and Applications, vol. 236, no. 1, pp. 171–206, 1999
  44. A Stefan Problem for a Protocell Model
    SIAM Journal on Mathematical Analysis, vol. 30, no. 4, p. 912, 1999
  45. Asymptotic behavior of solutions of coagulation-fragmentation models
    Indiana University Mathematics Journal, vol. 47, no. 2, pp. 0–0, 1998
  46. Asymptotics for the biharmonic equation near the tip of a crack
    Indiana University Mathematics Journal, vol. 47, no. 4, pp. 0–0, 1998
  47. Journal of Optimization Theory and Applications, vol. 97, no. 3, pp. 623–644, 1998
  48. Macromolecules, vol. 30, no. 1, pp. 153–154, 1997
  49. A Boundary Value Problem for the Poisson Equation with Multi-scale Oscillating Boundary
    Journal of Differential Equations, vol. 137, no. 1, pp. 54–93, 1997
  50. Head-Media Interaction in Magnetic Recording
    Archive for Rational Mechanics and Analysis, vol. 140, no. 1, pp. 79–101, 1997
  51. Averaged Motion of Charged Particles in a Curved Strip
    SIAM Journal on Applied Mathematics, vol. 57, no. 6, p. 1557, 1997
  52. Transactions of the American Mathematical Society, vol. 349, no. 07, pp. 2537–2604, 1997
  53. Transactions of the American Mathematical Society, vol. 349, no. 08, pp. 2981–3075, 1997
  54. A Stefan Problem for Multidimensional Reaction-Diffusion Systems
    SIAM Journal on Mathematical Analysis, vol. 27, no. 5, p. 1212, 1996
  55. Propagation of cracks in elastic media
    Archive for Rational Mechanics and Analysis, vol. 136, no. 3, pp. 235–290, 1996
  56. Periodic behaviour for the evolutionary dam problem and related free boundary problems Evolutionary dam problem
    Communications in Partial Differential Equations, vol. 11, no. 12, pp. 1297–1377, 1996
  57. Effective permeability of the boundary of a domain
    Communications in Partial Differential Equations, vol. 20, no. 1, pp. 59–102, 1995
  58. Swelling of a rubber ball in the presence of a good solvent
    Nonlinear Analysis, vol. 25, no. 6, pp. 547–568, 1995
  59. Inverse problems for scattering by periodic structures
    Archive for Rational Mechanics and Analysis, vol. 132, no. 1, pp. 49–72, 1995
  60. The Analysis of Coating Flows near the Contact Line
    Journal of Differential Equations, vol. 119, no. 1, pp. 137–208, 1995
  61. The Analysis of Coating Flows in a Strip
    Journal of Differential Equations, vol. 121, no. 1, pp. 134–182, 1995
  62. SIAM Journal on Mathematical Analysis, vol. 26, no. 5, Article ID 0526055, 1995
  63. Indiana University Mathematics Journal, vol. 43, no. 4, Article ID 43052, 1994
  64. Diffusion in Network
    Journal of Mathematical Analysis and Applications, vol. 183, no. 2, pp. 352–384, 1994
  65. A time-dependent free boundary problem modeling the visual image in electrophotography
    Archive for Rational Mechanics and Analysis, vol. 123, no. 3, pp. 259–303, 1993
  66. Asymptotic Behavior for a Coalescence Problem
    Transactions of the American Mathematical Society, vol. 338, no. 1, p. 133, 1993
  67. SIAM Journal on Applied Mathematics, vol. 53, no. 1, Article ID 0153011, 1993
  68. SIAM Journal on Applied Mathematics, vol. 52, no. 1, Article ID 0152004, 1992
  69. Stability for an Inverse Problem in Potential Theory
    Transactions of the American Mathematical Society, vol. 332, no. 1, p. 271, 1992
  70. A free-boundary problem modeling loop dislocations in crystals
    Archive for Rational Mechanics and Analysis, vol. 119, no. 3, pp. 229–291, 1992
  71. A transport model with micro- and macro-structure
    Journal of Differential Equations, vol. 98, no. 2, pp. 328–354, 1992
  72. An augmented drift-diffusion model in a semiconductor device*1
    Journal of Mathematical Analysis and Applications, vol. 168, no. 2, pp. 401–412, 1992
  73. Extinction and positivity for a system of semilinear parabolic variational inequalities
    Journal of Mathematical Analysis and Applications, vol. 167, no. 1, pp. 167–175, 1992
  74. The time-harmonic maxwell equations in a doubly periodic structure
    Journal of Mathematical Analysis and Applications, vol. 166, no. 2, pp. 507–528, 1992
  75. A system of partial differential equations arising in electrophotography
    Journal of Differential Equations, vol. 89, no. 2, pp. 272–304, 1991
  76. A free boundary problem arising in electrophotography
    Nonlinear Analysis, vol. 16, no. 9, pp. 729–759, 1991
  77. Maxwell's Equations in a Periodic Structure
    Transactions of the American Mathematical Society, vol. 323, no. 2, p. 465, 1991
  78. The Stefan Problem with Small Surface Tension
    Transactions of the American Mathematical Society, vol. 328, no. 2, p. 465, 1991
  79. SIAM Journal on Applied Mathematics, vol. 51, no. 2, Article ID 0151024, 1991
  80. SIAM Journal on Control and Optimization, vol. 29, no. 3, Article ID 0329035, 1991
  81. SIAM Journal on Applied Mathematics, vol. 50, no. 1, Article ID 0150012, 1990
  82. SIAM Journal on Mathematical Analysis, vol. 21, no. 3, Article ID 0521040, 1990
  83. A nonlinear nonlocal wave equation arising in combustion theory
    Nonlinear Analysis, vol. 14, no. 2, pp. 93–106, 1990
  84. Scattering by stripe grating*1
    Journal of Mathematical Analysis and Applications, vol. 147, no. 1, pp. 228–248, 1990
  85. Higher order nonlinear degenerate parabolic equations
    Journal of Differential Equations, vol. 83, no. 1, pp. 179–206, 1990
  86. A hyperbolic inverse problem arising in the evolution of combustion aerosol
    Archive for Rational Mechanics and Analysis, vol. 110, no. 4, pp. 313–350, 1990
  87. Steady states of austenitic-martensitic domains in the Ginzburg-Landau theory of shape memory alloys
    Continuum Mechanics and Thermodynamics, vol. 2, no. 3, pp. 199–213, 1990
  88. Functional differential equations for the determination of the viscosity function in a rheometer
    Archive for Rational Mechanics and Analysis, vol. 107, no. 1, 1989
  89. A bubble in ideal fluid with gravity
    Journal of Differential Equations, vol. 81, no. 1, pp. 136–166, 1989
  90. A model of crystal precipitation
    Journal of Mathematical Analysis and Applications, vol. 137, no. 2, pp. 550–575, 1989
  91. Crystal precipitation with discrete initial data
    Journal of Mathematical Analysis and Applications, vol. 137, no. 2, pp. 576–590, 1989
  92. The Stefan problem for a hyperbolic heat equation*1
    Journal of Mathematical Analysis and Applications, vol. 138, no. 1, pp. 249–279, 1989
  93. SIAM Journal on Control and Optimization, vol. 27, no. 4, Article ID 0327037, 1989
  94. SIAM Journal on Mathematical Analysis, vol. 20, no. 2, Article ID 0520022, 1989
  95. Indiana University Mathematics Journal, vol. 38, no. 3, Article ID 38025, 1989
  96. Indiana University Mathematics Journal, vol. 38, no. 3, Article ID 38027, 1989
  97. Indiana University Mathematics Journal, vol. 37, no. 3, Article ID 37024, 1988
  98. The Blow-up Surface for Nonlinear Wave Equations with Small Spatial Velocity
    Transactions of the American Mathematical Society, vol. 308, no. 1, p. 349, 1988
  99. SIAM Journal on Mathematical Analysis, vol. 19, no. 3, Article ID 0519036, 1988
  100. SIAM Journal on Control and Optimization, vol. 26, no. 1, Article ID 0326002, 1988