Math @ Duke

Books
 Golubitsky, Martin and Schaeffer, David G., Singularities and groups in bifurcation theory. Vol. I,
pp. xvii+463, 1985, SpringerVerlag, New York
[MR86e:58014]
 Golubitsky, Martin and Stewart, Ian and Schaeffer, David G., Singularities and groups in bifurcation theory. Vol. II,
pp. xvi+533, 1988, SpringerVerlag, New York
[MR89m:58038]
 Two phase flows and waves,
edited by Joseph, Daniel D. and Schaeffer, David G., pp. xii+164, 1990, SpringerVerlag, New York
[MR91e:76008]
Papers Published
 Coburn, L. A. and Douglas, R. G. and Schaeffer, D. G. and Singer, I. M., $C\sp{\ast} $algebras of operators on a halfspace. II. Index theory,
Inst. Hautes \'Etudes Sci. Publ. Math., no. 40, pp. 6979, 1971
[MR50:10884]
 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. 78, pp. 11051131, 1995
[MR96b:35133]
 Witelski, Thomas P. and Schaeffer, David G. and Shearer, Michael, A discrete model for an illposed nonlinear parabolic PDE,
Phys. D, vol. 160, no. 34, pp. 189221, 2001
[MR1872040]
 Golubitsky, Martin and Schaeffer, David, A discussion of symmetry and symmetry breaking,
Singularities, Part 1 (Arcata, Calif., 1981), pp. 499515, 1983, Amer. Math. Soc., Providence, RI
[MR85b:58018]
 Schaeffer, David G., A mathematical model for localization in granular flow,
Proc. Roy. Soc. London Ser. A, vol. 436, no. 1897, pp. 217250, 1992
[MR93g:73061]
 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. 266269, 1976
[MR52:11325]
 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. 450454, 1969
[MR39:7262]
 Golubitsky, Martin and Schaeffer, David, A qualitative approach to steadystate bifurcation theory,
New approaches to nonlinear problems in dynamics (Proc. Conf., Pacific Grove, Calif., 1979), pp. 4351, 1980, SIAM, Philadelphia, Pa.
[MR81k:58026]
 Schaeffer, David G., A regularity theorem for conservation laws,
Advances in Math., vol. 11, pp. 368386, 1973
[MR48:4523]
 David G Schaeffer, M. Shearer, A Simple Model for Stress Fluctuations in Plasticity, with Application to Granular Materials,
SIAM J. Appl. Math. 58(1998), 17911807.
 Golubitsky, Martin and Keyfitz, Barbara Lee and Schaeffer, David G., A singularity theory analysis of a thermalchainbranching model for the explosion peninsula,
Comm. Pure Appl. Math., vol. 34, no. 4, pp. 433463, 1981
[MR82h:58010]
 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. 257270, 1980, SIAM, Philadelphia, Pa.
[MR82i:80011]
 Golubitsky, Martin and Schaeffer, David, A singularity theory approach to steadystate bifurcation theory,
Nonlinear partial differential equations in engineering and applied science (Proc. Conf., Univ. Rhode Island, Kingston, R.I., 1979), pp. 229254, 1980, Dekker, New York
[MR82a:58018]
 Schaeffer, David G., A stability theorem for the obstacle problem,
Advances in Math., vol. 17, no. 1, pp. 3447, 1975
[MR52:994]
 Schaeffer, DG; Matthews, JV, A steadystate, hyperbolic free boundary problem for a granularflow model,
SIAM J. Math Analysis, vol. 36
(2004),
pp. 256271
 Schaeffer, David G., A survey of granular flow,
Hyperbolic problems: theory, numerics, applications (Stony Brook, NY, 1994), pp. 6380, 1996, World Sci. Publishing, River Edge, NJ
[MR1446015]
 Golubitsky, M. and Schaeffer, D., A theory for imperfect bifurcation via singularity theory,
Comm. Pure Appl. Math., vol. 32, no. 1, pp. 2198, 1979
[MR80j:58061]
 Mitchell, CC; Schaeffer, DG, A twocurrent model for the dynamics of cardiac membrane.,
Bulletin of Mathematical Biology, vol. 65 no. 5
(2003),
pp. 767793, ISSN 00928240 [12909250], [doi] [abs]
 Zhao, X; Schaeffer, DG, Alternate Pacing of BorderCollision PeriodDoubling Bifurcations.,
Nonlinear Dynamics, vol. 50 no. 3
(2007),
pp. 733742, ISSN 0924090X [19132134], [doi] [abs]
 Golubitsky, M. and Schaeffer, D., An analysis of imperfect bifurcation,
Bifurcation theory and applications in scientific disciplines (Papers, Conf., New York, 1977), pp. 127133, 1979, New York Acad. Sci., New York
[MR81c:58027]
 Schaeffer, David G., An application of the NashMoser theorem to a free boundary problem,
Nonlinear partial differential equations and applications (Proc. Special Sem., Indiana Univ., Bloomington, Ind., 19761977), pp. 129143, 1978, Springer, Berlin
[MR80c:35067]
 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. 183194, 1973, Amer. Math. Soc., Providence, R.I.
[MR49:838]
 Schaeffer, David G., An application of von Neumann algebras to finite difference equations,
Ann. of Math. (2), vol. 95, pp. 117129, 1972
[MR45:5563]
 Schaeffer, David G., An example of generic regularity for a nonlinear elliptic equation,
Arch. Rational Mech. Anal., vol. 57, pp. 134141, 1975
[MR52:8649]
 Schaeffer, David G., An extension of Hartogs' theorem for domains whose boundary is not smooth,
Proc. Amer. Math. Soc., vol. 25, pp. 714715, 1970
[MR41:5650]
 Schaeffer, David G., An index theorem for systems of difference operators on a half space,
Inst. Hautes \'Etudes Sci. Publ. Math., no. 42, pp. 121127, 1973
[MR47:9341]
 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. 459482, ISSN 00928240 [17237915], [doi] [abs]
 Schaeffer, DG; Tolkacheva, E; Mitchell, C, Analysis of the FentonKarma model through a onedimensional map,
Chaos, vol. 12
(2002),
pp. 10341042
 Tolkacheva, EG; Schaeffer, DG; Gauthier, DJ; Mitchell, CC, Analysis of the FentonKarma model through an approximation by a onedimensional map.,
Chaos, vol. 12 no. 4
(2002),
pp. 10341042 [12779627], [doi] [abs]
 Schaeffer, David G., Approximation of the Dirichlet problem on a half space,
Acta Math., vol. 129, no. 34, pp. 281295, 1972
[MR52:16058]
 Schaeffer, DG; Ying, W; Zhao, X, Asymptotic approximation of an ionic model for cardiac restitution.,
Nonlinear Dynamics, vol. 51 no. 12
(2008),
pp. 189198, ISSN 0924090X [19122809], [doi] [abs]
 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. 315347, 1980/81
[MR83b:80010]
 Ball, J. M. and Schaeffer, D. G., Bifurcation and stability of homogeneous equilibrium configurations of an elastic body under deadload tractions,
Math. Proc. Cambridge Philos. Soc., vol. 94, no. 2, pp. 315339, 1983
[MR84k:73033]
 Golubitsky, M. and Marsden, J. and Schaeffer, D., Bifurcation problems with hidden symmetries,
Partial differential equations and dynamical systems, pp. 181210, 1984, Pitman, Boston, MA
[MR86a:58020]
 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. 12251238, E D P SCIENCES, ISSN 0764583X [Gateway.cgi], [doi]
 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. 81111, 1982
[MR83b:58026]
 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. 209236, 1979
[MR81k:35019]
 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. 446458, 1984
[MR85m:73029]
 Schaeffer, DG; Shearer, M; Witelski, T, Boundaryvalue problems for hyperbolic partial differential equations related to steady granular flow,
Math. and Mech. of Solids, vol. 12
(2007),
pp. 665699
 Dai, S; Schaeffer, DG, Chaos in a onedimensional model for cardiac dynamics,
Chaos, vol. 20 no. 2
(June, 2010)
 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 15393755 [12689098], [doi] [abs]
 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
 Socolar, JES; Schaeffer, DG; Claudin, P, Directed force chain networks and stress response in static granular materials,
European Physical Journal E, vol. 7 no. 4
(2002),
pp. 353370 [abs]
 Beck, M; Jones, CKRT; Schaeffer, D; Wechselberger, M, Electrical Waves in a OneDimensional Model of Cardiac Tissue,
Siam Journal on Applied Dynamical Systems, vol. 7 no. 4
(December, 2008),
pp. 15581581, Society for Industrial & Applied Mathematics (SIAM) [doi]
 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
 David G Schaeffer, M. Sexton, J. Socolar, Force Distribution in a Scalar Model for NonCohesive Granular Material,
Phys. Rev. Lett. E 60 (1999), 19992008
 Schaeffer, DG; Tighe, B; Socolar, J; Michener, G; Huber, M, Force distribution in granular media,
PRE, vol. 72
(2005),
pp. 031306
 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), 335341.
 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.
 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. 297300, 1975, Amer. Math. Soc., Providence, R.I.
[MR52:1420]
 Shearer, Michael and Schaeffer, David G., Fully nonlinear hyperbolic systems of partial differential equations related to plasticity,
Comm. Partial Differential Equations, vol. 20, no. 78, pp. 11331153, 1995
[MR96b:35134]
 Schaeffer, David, General introduction to steady state bifurcation,
Dynamical systems and turbulence, Warwick 1980 (Coventry, 1979/1980), pp. 1347, 1981, Springer, Berlin
[MR83j:58037]
 Gremaud, P; Schaeffer, DG; Shearer, M, Granular Flow Past a Binsert,
Report to Jenike & Johanson, Inc.
(January, 1997)
 G. Metcalfe, L. Kondic, D. Schaeffer, S. Tennakoon, and R. Behringer, Granular friction and the fluidsolid transition for shaken granular materials,
Phys. Rev. E 65 (2002)
 Schaeffer, David G. and Pitman, E. Bruce, Illposedness in threedimensional plastic flow,
Comm. Pure Appl. Math., vol. 41, no. 7, pp. 879890, 1988
[MR89m:73018]
 Golubitsky, M. and Schaeffer, D., Imperfect bifurcation in the presence of symmetry,
Comm. Math. Phys., vol. 67, no. 3, pp. 205232, 1979
[MR80j:58017]
 Pitman, E. Bruce and Schaeffer, David G., Instability and illposedness in granular flow,
Current progress in hyberbolic systems: Riemann problems and computations (Brunswick, ME, 1988), pp. 241250, 1989, Amer. Math. Soc., Providence, RI
[MR90k:73037]
 Schaeffer, David G., Instability and illposedness in the deformation of granular materials,
Internat. J. Numer. Anal. Methods Geomech., vol. 14, no. 4, pp. 253278, 1990
[MR91e:73071]
 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. 3347, 1990
[MR90k:73044]
 Schaeffer, David G., Instability in the evolution equations describing incompressible granular flow,
J. Differential Equations, vol. 66, no. 1, pp. 1950, 1987
[MR88i:35169]
 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
[MR869642]
 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. 356371 (electronic), 1998
[MR99d:92009]
 Schaeffer, David G. and Shearer, Michael, Loss of hyperbolicity in yield vertex plasticity models under nonproportional loading,
Nonlinear evolution equations that change type, pp. 192217, 1990, Springer, New York
[MR92f:73022]
 Schaeffer, David G., Mathematical issues in the continuum formulation of slow granular flow,
Two phase flows and waves (Minneapolis, MN, 1989), pp. 118129, 1990, Springer, New York
[MR91f:73014]
 David G Schaeffer, Memoirs From a SmallScale Course On Industrial Math,
Notices AMS, 43(1996), 550557.
 David G Schaeffer, M. Shearer, Models of Stress Fluctuations in Granular Materials, Powders and Grains,
R.P. Behringer and J. Jenkins (eds.), Balkema, 1997.
 Schaeffer, David G. and Schecter, Stephen and Shearer, Michael, Nonstrictly hyperbolic conservation laws with a parabolic line,
J. Differential Equations, vol. 103, no. 1, pp. 94126, 1993
[MR94d:35102]
 Schaeffer, David G., Nonuniqueness in the equilibrium shape of a confined plasma,
Comm. Partial Differential Equations, vol. 2, no. 6, pp. 587600, 1977
[MR58:29210]
 Beale, J. Thomas and Schaeffer, David G., Nonlinear behavior of model equations which are linearly illposed,
Comm. Partial Differential Equations, vol. 13, no. 4, pp. 423467, 1988
[MR89h:35329]
 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. 2150, 1994
[MR94j:73029]
 Gremaud, Pierre Alain and Schaeffer, David G. and Shearer, Michael, Numerical determination of flow corrective inserts for granular materials in conical hoppers,
Internat. J. NonLinear Mech., vol. 35, no. 5, pp. 869882, 2000
[MR2001a:76129]
 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. 16761692, 1994
[MR95g:76010]
 Guillemin, Victor and Schaeffer, David, On a certain class of Fuchsian partial differential equations,
Duke Math. J., vol. 44, no. 1, pp. 157199, 1977
[MR55:3504]
 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. 553569
(2008)
 Schaeffer, DG; Matthews, M; Gremaud, P, On the computation of steady hopper flows III: Comparison of von Mises and MatsuokaNakai materials",
J Comp. Phy., vol. 219
(2006),
pp. 443454
 Schaeffer, David G., On the existence of discrete frequencies of oscillation in a rotating fluid,
Studies in Appl. Math., vol. 54, no. 3, pp. 269274, 1975
[MR56:10385]
 Schaeffer, DG; Shearer, M; Witelski, T, Onedimensional solutions of an elastoplasticity model of granular material,
Math. Models and Methods in Appl. Sciences, vol. 13
(2003),
pp. 16291671
 Schaeffer, David G., Onesided estimates for the curvature of the free boundary in the obstacle problem,
Advances in Math., vol. 24, no. 1, pp. 7898, 1977
[MR56:6506]
 Berger, CM; Zhao, X; Schaeffer, DG; Dobrovolny, HM; Krassowska, W; Gauthier, DJ, Perioddoubling bifurcation to alternans in paced cardiac tissue: crossover from smooth to bordercollision characteristics.,
Physical Review Letters, vol. 99 no. 5
(2007),
pp. 058101, ISSN 00319007 [17930795], [doi] [abs]
 M. K. Gordon, David G Schaeffer, M. Shearer, Plane Shear Waves in a Fully Saturated Granular Medium with Velocityand StressControlled Boundary Conditions,
Int. J. Nonlinear Mechancis 32(1997), 489503.
 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. 12, pp. 193212, 1998
[MR99g:73052]
 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. 307337, 1980
[MR81c:35007]
 Schaeffer, DG; Cain, J; Tolkacheva, E; Gauthier, D, Ratedependent waveback velocity of cardiac action potentials in a donedimensional cable,
Phys Rev E, vol. 70
(2004),
pp. 061906?
 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. 4352, 1987, U.S. Army Res. Office, Research Triangle Park, NC
[MR905075]
 Guillemin, V. and Schaeffer, D., Remarks on a paper of D. Ludwig,
Bull. Amer. Math. Soc., vol. 79, pp. 382385, 1973
[MR53:13800]
 Schaeffer, DG, Review of W. Cheney's "Analysis for applied mathematics",
Amer. Math Monthly, vol. 110
(2003),
pp. 550
 Shearer, Michael and Schaeffer, David G., Riemann problems for $5\times 5$ systems of fully nonlinear equations related to hypoplasticity,
Math. Methods Appl. Sci., vol. 19, no. 18, pp. 14331444, 1996
[MR97m:73028]
 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. 267306, 1987
[MR88m:35101]
 Schaeffer, David G. and Shearer, Michael, Scaleinvariant initial value problems in onedimensional dynamic elastoplasticity, with consequences for multidimensional nonassociative plasticity,
European J. Appl. Math., vol. 3, no. 3, pp. 225254, 1992
[MR93g:73057]
 Gremaud, PA; Matthews, JV; Schaeffer, DG, Secondary circulation in granular flow through nonaxisymmetric hoppers,
Siam Journal on Applied Mathematics, vol. 64 no. 2
(2003),
pp. 583600, ISSN 00361399 [Gateway.cgi], [doi] [abs]
 Schaeffer, DG; Cain, J, Shortening of action potential duraction near an insulating boundary,
Math Medicine and Biology, vol. 25 no. 2136
(2008)
 Schaeffer, David G., Singularities and the obstacle problem,
Differential geometry (Proc. Sympos. Pure Math., Vol. XXVII, Stanford Univ., Stanford, Calif., 1973), Part 2, pp. 339340, 1975, Amer. Math. Soc., Providence, R.I.
[MR57:10227]
 Zhao, X; Schaeffer, DG; Berger, CM; Gauthier, DJ, SmallSignal Amplification of PeriodDoubling Bifurcations in Smooth Iterated Maps.,
Nonlinear Dynamics, vol. 48 no. 4
(2007),
pp. 381389, ISSN 0924090X [19112525], [doi] [abs]
 Shearer, M. and Schaeffer, D. G. and Marchesin, D. and PaesLeme, 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. 299320, 1987
[MR88a:35156]
 Schaeffer, David G., Some examples of singularities in a free boundary,
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), vol. 4, no. 1, pp. 133144, 1977
[MR58:24345]
 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. 704719, Society for Industrial & Applied Mathematics (SIAM), ISSN 00361399 [Gateway.cgi], [doi]
 Golubitsky, Martin and Schaeffer, David G., Stability of shock waves for a single conservation law,
Advances in Math., vol. 16, pp. 6571, 1975
[MR51:10889]
 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. 421447, 1987
[MR88i:35170]
 Schaeffer, DG; Iverson, RM, Steady and Intermittent Slipping in a Model of Landslide Motion Regulated by PorePressure Feedback,
Siam Journal on Applied Mathematics, vol. 69 no. 3
(December, 2008),
pp. 769786, Society for Industrial & Applied Mathematics (SIAM), ISSN 00361399 [Gateway.cgi], [doi]
 Wang, Feng and Gardner, Carl L. and Schaeffer, David G., Steadystate computations of granular flow in an axisymmetric hopper,
SIAM J. Appl. Math., vol. 52, no. 4, pp. 10761088, 1992
[MR93c:73040]
 Hayes, Brian T. and Schaeffer, David G., Stresscontrolled shear waves in a saturated granular medium,
European J. Appl. Math., vol. 11, no. 1, pp. 8194, 2000
[MR2000k:74037]
 Schaeffer, David G., Supersonic flow past a nearly straight wedge,
Duke Math. J., vol. 43, no. 3, pp. 637670, 1976
[MR54:1850]
 Schaeffer, David G., The capacitor problem,
Indiana Univ. Math. J., vol. 24, no. 12, pp. 11431167, 1974/75
[MR52:14607]
 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. 141178, 1987
[MR88a:35155]
 Schaeffer, David G., The Dirichlet problem with generalized functions as data,
Ann. Mat. Pura Appl. (4), vol. 83, pp. 153174, 1969
[MR41:7271]
 An, Lian Jun and Schaeffer, David G., The flutter instability in granular flow,
J. Mech. Phys. Solids, vol. 40, no. 3, pp. 683698, 1992
[MR93c:73053]
 Schaeffer, David G. and Shearer, Michael, The influence of material nonuniformity preceding shearband formation in a model for granular flow,
European J. Appl. Math., vol. 8, no. 5, pp. 457483, 1997
[MR98g:73016]
 Shearer, Michael and Schaeffer, David G., The initial value problem for a system modelling unidirectional longitudinal elasticplastic waves,
SIAM J. Math. Anal., vol. 24, no. 5, pp. 11111144, 1993
[MR95f:73038]
 Shearer, Michael and Schaeffer, David G., The quasidynamic approximation in critical state plasticity,
Arch. Rational Mech. Anal., vol. 108, no. 3, pp. 267280, 1989
[MR91d:73031]
 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. 154162, 1986, World Sci. Publishing, Singapore
[MR89c:35100]
 Shearer, Michael and Schaeffer, David G., Threephase flow in a porous medium and the classification of nonstrictly hyperbolic conservation laws,
Transactions of the third Army conference on applied mathematics and computing (Atlanta, Ga., 1985), pp. 509517, 1986, U.S. Army Res. Office, Research Triangle Park, NC
[MR87j:76093]
 Schaeffer, David G., Topics in bifurcation theory,
Systems of nonlinear partial differential equations (Oxford, 1982), pp. 219262, 1983, Reidel, Dordrecht
[MR85e:58107]
 Shearer, Michael and Schaeffer, David G., Unloading near a shear band in granular material,
Quart. Appl. Math., vol. 52, no. 3, pp. 579600, 1994
[MR95m:73030]
 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. 78, pp. 12711298, 1993
[MR94i:35203]
 Schaeffer, David G., WienerHopf factorization of the symbol of an elliptic difference operator,
J. Functional Analysis, vol. 5, pp. 383394, 1970
[MR41:7491]
Papers Submitted
 Gonzales, K; Kayikci, O; Schaeffer, DG; Magwene, P, Modeling mutant phenotypes and oscillatory dynamics in the \emph{Saccharomyces cerevisiae} cAMPPKA pathway,
PLoS Computational Biology
(Winter, 2010)
 S. Payne, B. Li, H. Song, D.G. Schaeffer, and L. You, Selforganized pattern formation by a pseudoTuring mechanism
(Winter, 2010)
 Farjoun, Y; Schaeffer, DG, The hanging thin rod: a singularly perturbed eigenvalue problem,
SIAM Sppl. Math.
(July, 2010)
Preprints
 D.G. Schaeffer, A. Catlla, T. Witelski, E. Monson, A. Lin, Annular patterns in reactiondiffusion systems and their implications for neuralglial interactions
(2008)


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

