Publications of David G. Schaeffer

Books

  1. Golubitsky, Martin and Schaeffer, David G., Singularities and groups in bifurcation theory. Vol. I, pp. xvii+463, 1985, Springer-Verlag, New York
  2. Golubitsky, Martin and Stewart, Ian and Schaeffer, David G., Singularities and groups in bifurcation theory. Vol. II, pp. xvi+533, 1988, Springer-Verlag, New York
  3. Two phase flows and waves, edited by Joseph, Daniel D. and Schaeffer, David G., pp. xii+164, 1990, Springer-Verlag, New York

Papers Published

  1. Coburn, L. A. and Douglas, R. G. and Schaeffer, D. G. and Singer, I. M., $C\sp{\ast} $-algebras of operators on a half-space. II. Index theory, Inst. Hautes \'Etudes Sci. Publ. Math., no. 40, pp. 69--79, 1971
  2. Shearer, Michael and Schaeffer, David G., A class of fully nonlinear $2\times 2$ systems of partial differential equations, Comm. Partial Differential Equations, vol. 20, no. 7-8, pp. 1105--1131, 1995
  3. Witelski, Thomas P. and Schaeffer, David G. and Shearer, Michael, A discrete model for an ill-posed nonlinear parabolic PDE, Phys. D, vol. 160, no. 3-4, pp. 189--221, 2001
  4. Golubitsky, Martin and Schaeffer, David, A discussion of symmetry and symmetry breaking, Singularities, Part 1 (Arcata, Calif., 1981), pp. 499--515, 1983, Amer. Math. Soc., Providence, RI
  5. Schaeffer, David G., A mathematical model for localization in granular flow, Proc. Roy. Soc. London Ser. A, vol. 436, no. 1897, pp. 217--250, 1992
  6. Schaeffer, David G., A new proof of the infinite differentiability of the free boundary in the Stefan problem, J. Differential Equations, vol. 20, no. 1, pp. 266--269, 1976
  7. Schaeffer, David G., A note on the representation of a solution of an elliptic differential equation near an isolated singularity, Proc. amer. Math. Soc., vol. 23, pp. 450--454, 1969
  8. Golubitsky, Martin and Schaeffer, David, A qualitative approach to steady-state bifurcation theory, New approaches to nonlinear problems in dynamics (Proc. Conf., Pacific Grove, Calif., 1979), pp. 43--51, 1980, SIAM, Philadelphia, Pa.
  9. Schaeffer, David G., A regularity theorem for conservation laws, Advances in Math., vol. 11, pp. 368--386, 1973
  10. David G Schaeffer, M. Shearer, A Simple Model for Stress Fluctuations in Plasticity, with Application to Granular Materials, SIAM J. Appl. Math. 58(1998), 1791-1807.
  11. Golubitsky, Martin and Keyfitz, Barbara Lee and Schaeffer, David G., A singularity theory analysis of a thermal-chainbranching model for the explosion peninsula, Comm. Pure Appl. Math., vol. 34, no. 4, pp. 433--463, 1981
  12. Golubitsky, Martin and Keyfitz, Barbara L. and Schaeffer, David, A singularity theory approach to qualitative behavior of complex chemical systems, New approaches to nonlinear problems in dynamics (Proc. Conf., Pacific Grove, Calif., 1979), pp. 257--270, 1980, SIAM, Philadelphia, Pa.
  13. Golubitsky, Martin and Schaeffer, David, A singularity theory approach to steady-state bifurcation theory, Nonlinear partial differential equations in engineering and applied science (Proc. Conf., Univ. Rhode Island, Kingston, R.I., 1979), pp. 229--254, 1980, Dekker, New York
  14. Schaeffer, David G., A stability theorem for the obstacle problem, Advances in Math., vol. 17, no. 1, pp. 34--47, 1975
  15. Schaeffer, DG; Matthews, JV, A steady-state, hyperbolic free boundary problem for a granular-flow model, Siam J. Math Analysis, vol. 36 (2004), pp. 256-271
  16. Schaeffer, David G., A survey of granular flow, Hyperbolic problems: theory, numerics, applications (Stony Brook, NY, 1994), pp. 63--80, 1996, World Sci. Publishing, River Edge, NJ
  17. Golubitsky, M. and Schaeffer, D., A theory for imperfect bifurcation via singularity theory, Comm. Pure Appl. Math., vol. 32, no. 1, pp. 21--98, 1979
  18. Mitchell, CC; Schaeffer, DG, A two-current model for the dynamics of cardiac membrane., Bulletin of Mathematical Biology, vol. 65 no. 5 (September, 2003), pp. 767-793, ISSN 0092-8240
  19. Zhao, X; Schaeffer, DG, Alternate Pacing of Border-Collision Period-Doubling Bifurcations., Nonlinear Dynamics, vol. 50 no. 3 (November, 2007), pp. 733-742, ISSN 0924-090X
  20. Golubitsky, M. and Schaeffer, D., An analysis of imperfect bifurcation, Bifurcation theory and applications in scientific disciplines (Papers, Conf., New York, 1977), pp. 127--133, 1979, New York Acad. Sci., New York
  21. Schaeffer, David G., An application of the Nash-Moser theorem to a free boundary problem, Nonlinear partial differential equations and applications (Proc. Special Sem., Indiana Univ., Bloomington, Ind., 1976-1977), pp. 129--143, 1978, Springer, Berlin
  22. Schaeffer, David G., An application of von Neumann algebras to finite difference equations, Partial differential equations (Proc. Sympos. Pure Math., Vol. XXIII, Univ. California, Berkeley, Calif., 1971), pp. 183--194, 1973, Amer. Math. Soc., Providence, R.I.
  23. Schaeffer, David G., An application of von Neumann algebras to finite difference equations, Ann. of Math. (2), vol. 95, pp. 117--129, 1972
  24. Schaeffer, David G., An example of generic regularity for a non-linear elliptic equation, Arch. Rational Mech. Anal., vol. 57, pp. 134--141, 1975
  25. Schaeffer, David G., An extension of Hartogs' theorem for domains whose boundary is not smooth, Proc. Amer. Math. Soc., vol. 25, pp. 714--715, 1970
  26. Schaeffer, David G., An index theorem for systems of difference operators on a half space, Inst. Hautes \'Etudes Sci. Publ. Math., no. 42, pp. 121--127, 1973
  27. Schaeffer, DG; Cain, JW; Gauthier, DJ; Kalb, SS; Oliver, RA; Tolkacheva, EG; Ying, W; Krassowska, W, An ionically based mapping model with memory for cardiac restitution., Bulletin of Mathematical Biology, vol. 69 no. 2 (February, 2007), pp. 459-482, ISSN 0092-8240
  28. Schaeffer, DG; Tolkacheva, E; Mitchell, C, Analysis of the Fenton-Karma model through a one-dimensional map, Chaos, vol. 12 (2002), pp. 1034-1042
  29. Tolkacheva, EG; Schaeffer, DG; Gauthier, DJ; Mitchell, CC, Analysis of the Fenton-Karma model through an approximation by a one-dimensional map., Chaos (Woodbury, N.Y.), vol. 12 no. 4 (December, 2002), pp. 1034-1042
  30. Schaeffer, David G., Approximation of the Dirichlet problem on a half space, Acta Math., vol. 129, no. 3--4, pp. 281--295, 1972
  31. Schaeffer, DG; Ying, W; Zhao, X, Asymptotic approximation of an ionic model for cardiac restitution., Nonlinear Dynamics, vol. 51 no. 1-2 (January, 2008), pp. 189-198, ISSN 0924-090X
  32. Schaeffer, David G. and Golubitsky, Martin A., Bifurcation analysis near a double eigenvalue of a model chemical reaction, Arch. Rational Mech. Anal., vol. 75, no. 4, pp. 315--347, 1980/81
  33. Ball, J. M. and Schaeffer, D. G., Bifurcation and stability of homogeneous equilibrium configurations of an elastic body under dead-load tractions, Math. Proc. Cambridge Philos. Soc., vol. 94, no. 2, pp. 315--339, 1983
  34. Golubitsky, M. and Marsden, J. and Schaeffer, D., Bifurcation problems with hidden symmetries, Partial differential equations and dynamical systems, pp. 181--210, 1984, Pitman, Boston, MA
  35. Dai, S; Schaeffer, DG, Bifurcations in a modulation equation for alternans in a cardiac fiber, Esaim: Mathematical Modelling and Numerical Analysis, vol. 44 no. 6 (Winter, 2010), pp. 1225-1238, E D P SCIENCES, ISSN 0764-583X
  36. Golubitsky, Martin and Schaeffer, David, Bifurcations with ${\rm O}(3)$\ symmetry including applications to the B\'enard problem, Comm. Pure Appl. Math., vol. 35, no. 1, pp. 81--111, 1982
  37. Schaeffer, David and Golubitsky, Martin, Boundary conditions and mode jumping in the buckling of a rectangular plate, Comm. Math. Phys., vol. 69, no. 3, pp. 209--236, 1979
  38. Holder, E. J. and Schaeffer, D., Boundary conditions and mode jumping in the von K\'arm\'an equations, SIAM J. Math. Anal., vol. 15, no. 3, pp. 446--458, 1984
  39. Schaeffer, DG; Shearer, M; Witelski, T, Boundary-value problems for hyperbolic partial differential equations related to steady granular flow, Math. and Mech. of Solids, vol. 12 (2007), pp. 665-699
  40. Dai, S; Schaeffer, DG, Chaos in a one-dimensional model for cardiac dynamics, Chaos, vol. 20 no. 2 (June, 2010)
  41. Tolkacheva, EG; Schaeffer, DG; Gauthier, DJ; Krassowska, W, Condition for alternans and stability of the 1:1 response pattern in a "memory" model of paced cardiac dynamics., Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 67 no. 3 Pt 1 (March, 2003), pp. 031904, ISSN 1539-3755
  42. D.G. Schaeffer, E. Tolkacheva, D. Gauthier, W. Krassowska, Condition for alternans and stability of the 1:1 response pattern in a memory model of paced cardiac dynamics, Phys Rev E, vol. 67 (2003), pp. 031904
  43. Socolar, JES; Schaeffer, DG; Claudin, P, Directed force chain networks and stress response in static granular materials., The European Physical Journal. E, Soft Matter, vol. 7 no. 4 (April, 2002), pp. 353-370
  44. Beck, M; Jones, CKRT; Schaeffer, D; Wechselberger, M, Electrical waves in a one-dimensional model of cardiac tissue, Siam Journal on Applied Dynamical Systems, vol. 7 no. 4 (December, 2008), pp. 1558-1581, Society for Industrial & Applied Mathematics (SIAM)
  45. Schaeffer, DG; Kalb, S; Tolkacheva, E; Gauthier, D; Krassowska, W, Features of the restitution portrait for mapping models with an arbitrary amount of memory, Chaos, vol. 15 (2005), pp. 023701
  46. David G Schaeffer, M. Sexton, J. Socolar, Force Distribution in a Scalar Model for Non-Cohesive Granular Material, Phys. Rev. Lett. E 60 (1999), 1999-2008
  47. Schaeffer, DG; Tighe, B; Socolar, J; Michener, G; Huber, M, Force distribution in granular media, Pre, vol. 72 (2005), pp. 031306
  48. G. Tardos, M.I. Khan, David G Schaeffer, Forces On a Slowly Rotating, Rough Cylinder in a Couette Device Containing a Dry, Frictional Powder, Physics of Fluids 10(1998), 335-341.
  49. F.X. Garzizar, David G Schaeffer, M. Shearer, J. Trangenstein, Formation and Development of Shear Bands in Granular Material, Trans. of 11th Army Conf. on Appl. Math. & Computing.
  50. Guillemin, V. and Schaeffer, D., Fourier integral operators from the Radon transform point of view, Differential geometry (Proc. Sympos. Pure Math., Vol. XXVII, Stanford Univ., Stanford, Calif., 1973), Part 2, pp. 297--300, 1975, Amer. Math. Soc., Providence, R.I.
  51. Shearer, Michael and Schaeffer, David G., Fully nonlinear hyperbolic systems of partial differential equations related to plasticity, Comm. Partial Differential Equations, vol. 20, no. 7-8, pp. 1133--1153, 1995
  52. Schaeffer, David, General introduction to steady state bifurcation, Dynamical systems and turbulence, Warwick 1980 (Coventry, 1979/1980), pp. 13--47, 1981, Springer, Berlin
  53. Gremaud, P; Schaeffer, DG; Shearer, M, Granular Flow Past a Binsert, Report to Jenike & Johanson, Inc. (January, 1997)
  54. G. Metcalfe, L. Kondic, D. Schaeffer, S. Tennakoon, and R. Behringer, Granular friction and the fluid-solid transition for shaken granular materials, Phys. Rev. E 65 (2002)
  55. Schaeffer, David G. and Pitman, E. Bruce, Ill-posedness in three-dimensional plastic flow, Comm. Pure Appl. Math., vol. 41, no. 7, pp. 879--890, 1988
  56. Golubitsky, M. and Schaeffer, D., Imperfect bifurcation in the presence of symmetry, Comm. Math. Phys., vol. 67, no. 3, pp. 205--232, 1979
  57. Pitman, E. Bruce and Schaeffer, David G., Instability and ill-posedness in granular flow, Current progress in hyberbolic systems: Riemann problems and computations (Brunswick, ME, 1988), pp. 241--250, 1989, Amer. Math. Soc., Providence, RI
  58. Schaeffer, David G., Instability and ill-posedness in the deformation of granular materials, Internat. J. Numer. Anal. Methods Geomech., vol. 14, no. 4, pp. 253--278, 1990
  59. Schaeffer, David G. and Shearer, Michael and Pitman, E. Bruce, Instability in critical state theories of granular flow, SIAM J. Appl. Math., vol. 50, no. 1, pp. 33--47, 1990
  60. Schaeffer, David G., Instability in the evolution equations describing incompressible granular flow, J. Differential Equations, vol. 66, no. 1, pp. 19--50, 1987
  61. Schaeffer, David G., Instability in the flow of granular materials, Mathematics applied to fluid mechanics and stability (Troy, N.Y., 1985), pp. 274, 1986, SIAM, Philadelphia, PA
  62. Howle, Laurens and Schaeffer, David G. and Shearer, Michael and Zhong, Pei, Lithotripsy: the treatment of kidney stones with shock waves, SIAM Rev., vol. 40, no. 2, pp. 356--371 (electronic), 1998
  63. Schaeffer, David G. and Shearer, Michael, Loss of hyperbolicity in yield vertex plasticity models under nonproportional loading, Nonlinear evolution equations that change type, pp. 192--217, 1990, Springer, New York
  64. Schaeffer, David G., Mathematical issues in the continuum formulation of slow granular flow, Two phase flows and waves (Minneapolis, MN, 1989), pp. 118--129, 1990, Springer, New York
  65. David G Schaeffer, Memoirs From a Small-Scale Course On Industrial Math, Notices AMS, 43(1996), 550-557.
  66. Gonzales, K; Kayıkçı, O; Schaeffer, DG; Magwene, PM, Modeling mutant phenotypes and oscillatory dynamics in the Saccharomyces cerevisiae cAMP-PKA pathway., Bmc Systems Biology, vol. 7 (Winter, 2013), pp. 40
  67. David G Schaeffer, M. Shearer, Models of Stress Fluctuations in Granular Materials, Powders and Grains, R.P. Behringer and J. Jenkins (eds.), Balkema, 1997.
  68. Schaeffer, David G. and Schecter, Stephen and Shearer, Michael, Non-strictly hyperbolic conservation laws with a parabolic line, J. Differential Equations, vol. 103, no. 1, pp. 94--126, 1993
  69. Schaeffer, David G., Non-uniqueness in the equilibrium shape of a confined plasma, Comm. Partial Differential Equations, vol. 2, no. 6, pp. 587--600, 1977
  70. Beale, J. Thomas and Schaeffer, David G., Nonlinear behavior of model equations which are linearly ill-posed, Comm. Partial Differential Equations, vol. 13, no. 4, pp. 423--467, 1988
  71. Garaizar, F. Xabier and Schaeffer, David G., Numerical computations for shear bands in an antiplane shear model, J. Mech. Phys. Solids, vol. 42, no. 1, pp. 21--50, 1994
  72. Gremaud, Pierre Alain and Schaeffer, David G. and Shearer, Michael, Numerical determination of flow corrective inserts for granular materials in conical hoppers, Internat. J. Non-Linear Mech., vol. 35, no. 5, pp. 869--882, 2000
  73. Gardner, Carl L. and Schaeffer, David G., Numerical simulation of uniaxial compression of a granular material with wall friction, SIAM J. Appl. Math., vol. 54, no. 6, pp. 1676--1692, 1994
  74. Guillemin, Victor and Schaeffer, David, On a certain class of Fuchsian partial differential equations, Duke Math. J., vol. 44, no. 1, pp. 157--199, 1977
  75. Schaeffer, DG; Catlla, A; Witelski, T; Monson, E; Lin, A, On spiking models of synaptic activity and impulsive differential equations, Siam Review, vol. 50 no. 553--569 (2008)
  76. Schaeffer, DG; Matthews, M; Gremaud, P, On the computation of steady hopper flows III: Comparison of von Mises and Matsuoka-Nakai materials", J Comp. Phy., vol. 219 (2006), pp. 443-454
  77. Schaeffer, David G., On the existence of discrete frequencies of oscillation in a rotating fluid, Studies in Appl. Math., vol. 54, no. 3, pp. 269--274, 1975
  78. Schaeffer, DG; Shearer, M; Witelski, T, One-dimensional solutions of an elastoplasticity model of granular material, Math. Models and Methods in Appl. Sciences, vol. 13 (2003), pp. 1629-1671
  79. Schaeffer, David G., One-sided estimates for the curvature of the free boundary in the obstacle problem, Advances in Math., vol. 24, no. 1, pp. 78--98, 1977
  80. Berger, CM; Zhao, X; Schaeffer, DG; Dobrovolny, HM; Krassowska, W; Gauthier, DJ, Period-doubling bifurcation to alternans in paced cardiac tissue: crossover from smooth to border-collision characteristics., Physical Review Letters, vol. 99 no. 5 (August, 2007), pp. 058101, ISSN 0031-9007
  81. M. K. Gordon, David G Schaeffer, M. Shearer, Plane Shear Waves in a Fully Saturated Granular Medium with Velocity-and Stress-Controlled Boundary Conditions, Int. J. Nonlinear Mechancis 32(1997), 489-503.
  82. Hayes, Brian T. and Schaeffer, David G., Plane shear waves under a periodic boundary disturbance in a saturated granular medium, Phys. D, vol. 121, no. 1-2, pp. 193--212, 1998
  83. Schaeffer, David G., Qualitative analysis of a model for boundary effects in the Taylor problem, Math. Proc. Cambridge Philos. Soc., vol. 87, no. 2, pp. 307--337, 1980
  84. Schaeffer, DG; Cain, J; Tolkacheva, E; Gauthier, D, Rate-dependent waveback velocity of cardiac action potentials in a done-dimensional cable, Phys Rev E, vol. 70 (2004), pp. 061906-?
  85. Shearer, Michael and Schaeffer, David G., Recent developments in nonstrictly hyperbolic conservation laws, Transactions of the fourth Army conference on applied mathematics and computing (Ithaca, N.Y., 1986), pp. 43--52, 1987, U.S. Army Res. Office, Research Triangle Park, NC
  86. Guillemin, V. and Schaeffer, D., Remarks on a paper of D. Ludwig, Bull. Amer. Math. Soc., vol. 79, pp. 382--385, 1973
  87. Schaeffer, DG, Review of W. Cheney's "Analysis for applied mathematics", Amer. Math Monthly, vol. 110 (2003), pp. 550
  88. Shearer, Michael and Schaeffer, David G., Riemann problems for $5\times 5$ systems of fully non-linear equations related to hypoplasticity, Math. Methods Appl. Sci., vol. 19, no. 18, pp. 1433--1444, 1996
  89. Schaeffer, David G. and Shearer, Michael, Riemann problems for nonstrictly hyperbolic $2\times 2$ systems of conservation laws, Trans. Amer. Math. Soc., vol. 304, no. 1, pp. 267--306, 1987
  90. Schaeffer, David G. and Shearer, Michael, Scale-invariant initial value problems in one-dimensional dynamic elastoplasticity, with consequences for multidimensional nonassociative plasticity, European J. Appl. Math., vol. 3, no. 3, pp. 225--254, 1992
  91. Gremaud, PA; Matthews, JV; Schaeffer, DG, Secondary circulation in granular flow through nonaxisymmetric hoppers, Siam Journal on Applied Mathematics, vol. 64 no. 2 (June, 2004), pp. 583-600, ISSN 0036-1399
  92. Schaeffer, DG; Cain, J, Shortening of action potential duraction near an insulating boundary, Math Medicine and Biology, vol. 25 no. 21--36 (2008)
  93. Schaeffer, David G., Singularities and the obstacle problem, Differential geometry (Proc. Sympos. Pure Math., Vol. XXVII, Stanford Univ., Stanford, Calif., 1973), Part 2, pp. 339--340, 1975, Amer. Math. Soc., Providence, R.I.
  94. Zhao, X; Schaeffer, DG; Berger, CM; Gauthier, DJ, Small-Signal Amplification of Period-Doubling Bifurcations in Smooth Iterated Maps., Nonlinear Dynamics, vol. 48 no. 4 (June, 2007), pp. 381-389, ISSN 0924-090X
  95. Shearer, M. and Schaeffer, D. G. and Marchesin, D. and Paes-Leme, P. L., Solution of the Riemann problem for a prototype $2\times 2$ system of nonstrictly hyperbolic conservation laws, Arch. Rational Mech. Anal., vol. 97, no. 4, pp. 299--320, 1987
  96. Schaeffer, David G., Some examples of singularities in a free boundary, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), vol. 4, no. 1, pp. 133--144, 1977
  97. Dai, S; Schaeffer, DG, Spectrum of a linearized amplitude equation for alternans in a cardiac fiber, Siam Journal on Applied Mathematics, vol. 69 no. 3 (December, 2008), pp. 704-719, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1399
  98. Golubitsky, Martin and Schaeffer, David G., Stability of shock waves for a single conservation law, Advances in Math., vol. 16, pp. 65--71, 1975
  99. Pitman, E. Bruce and Schaeffer, David G., Stability of time dependent compressible granular flow in two dimensions, Comm. Pure Appl. Math., vol. 40, no. 4, pp. 421--447, 1987
  100. Schaeffer, DG; Iverson, RM, Steady and intermittent slipping in a model of landslide motion regulated by pore-pressure feedback, Siam Journal on Applied Mathematics, vol. 69 no. 3 (December, 2008), pp. 769-786, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1399
  101. Wang, Feng and Gardner, Carl L. and Schaeffer, David G., Steady-state computations of granular flow in an axisymmetric hopper, SIAM J. Appl. Math., vol. 52, no. 4, pp. 1076--1088, 1992
  102. Hayes, Brian T. and Schaeffer, David G., Stress-controlled shear waves in a saturated granular medium, European J. Appl. Math., vol. 11, no. 1, pp. 81--94, 2000
  103. Schaeffer, David G., Supersonic flow past a nearly straight wedge, Duke Math. J., vol. 43, no. 3, pp. 637--670, 1976
  104. Schaeffer, David G., The capacitor problem, Indiana Univ. Math. J., vol. 24, no. 12, pp. 1143--1167, 1974/75
  105. Schaeffer, David G. and Shearer, Michael, The classification of $2\times 2$ systems of nonstrictly hyperbolic conservation laws, with application to oil recovery, Comm. Pure Appl. Math., vol. 40, no. 2, pp. 141--178, 1987
  106. Schaeffer, David G., The Dirichlet problem with generalized functions as data, Ann. Mat. Pura Appl. (4), vol. 83, pp. 153--174, 1969
  107. An, Lian Jun and Schaeffer, David G., The flutter instability in granular flow, J. Mech. Phys. Solids, vol. 40, no. 3, pp. 683--698, 1992
  108. Farjoun, Y; Schaeffer, DG, The hanging thin rod: a singularly perturbed eigenvalue problem, Siam Sppl. Math. (July, 2010)
  109. Schaeffer, David G. and Shearer, Michael, The influence of material non-uniformity preceding shear-band formation in a model for granular flow, European J. Appl. Math., vol. 8, no. 5, pp. 457--483, 1997
  110. Shearer, Michael and Schaeffer, David G., The initial value problem for a system modelling unidirectional longitudinal elastic-plastic waves, SIAM J. Math. Anal., vol. 24, no. 5, pp. 1111--1144, 1993
  111. Shearer, Michael and Schaeffer, David G., The quasidynamic approximation in critical state plasticity, Arch. Rational Mech. Anal., vol. 108, no. 3, pp. 267--280, 1989
  112. Schaeffer, David G. and Shearer, Michael, Three phase flow in a porous medium and the classification of nonstrictly hyperbolic conservation laws, International workshop on applied differential equations (Beijing, 1985), pp. 154--162, 1986, World Sci. Publishing, Singapore
  113. Shearer, Michael and Schaeffer, David G., Three-phase flow in a porous medium and the classification of non-strictly hyperbolic conservation laws, Transactions of the third Army conference on applied mathematics and computing (Atlanta, Ga., 1985), pp. 509--517, 1986, U.S. Army Res. Office, Research Triangle Park, NC
  114. Schaeffer, David G., Topics in bifurcation theory, Systems of nonlinear partial differential equations (Oxford, 1982), pp. 219--262, 1983, Reidel, Dordrecht
  115. Shearer, Michael and Schaeffer, David G., Unloading near a shear band in granular material, Quart. Appl. Math., vol. 52, no. 3, pp. 579--600, 1994
  116. Schaeffer, David G. and Shearer, Michael, Unloading near a shear band: a free boundary problem for the wave equation, Comm. Partial Differential Equations, vol. 18, no. 7-8, pp. 1271--1298, 1993
  117. Schaeffer, David G., Wiener-Hopf factorization of the symbol of an elliptic difference operator, J. Functional Analysis, vol. 5, pp. 383--394, 1970

Papers Submitted

  1. S. Payne, B. Li, H. Song, D.G. Schaeffer, and L. You, Self-organized pattern formation by a pseudo-Turing mechanism (Winter, 2010)

Preprints

  1. D.G. Schaeffer, A. Catlla, T. Witelski, E. Monson, A. Lin, Annular patterns in reaction-diffusion systems and their implications for neural-glial interactions (2008)