Publications of David G Schaeffer :chronological combined listing:
%% Books
@book{fds10078,
Title = {Two phase flows and waves},
Journal = {edited by Joseph, Daniel D. and Schaeffer, David G., pp.
xii+164, 1990, Springer-Verlag, New York},
MRNUMBER = {91e:76008},
Key = {fds10078}
}
@book{fds10084,
Author = {Golubitsky, Martin and Stewart, Ian and Schaeffer, David
G.},
Title = {Singularities and groups in bifurcation theory. Vol.
II},
Journal = {pp. xvi+533, 1988, Springer-Verlag, New York},
MRNUMBER = {89m:58038},
Key = {fds10084}
}
@book{fds10093,
Author = {Golubitsky, Martin and Schaeffer, David G.},
Title = {Singularities and groups in bifurcation theory. Vol.
I},
Journal = {pp. xvii+463, 1985, Springer-Verlag, New
York},
MRNUMBER = {86e:58014},
Key = {fds10093}
}
%% Papers Published
@article{fds151397,
Author = {D.G. Schaeffer and J. Cain},
Title = {Shortening of action potential duraction near an insulating
boundary},
Journal = {Math Medicine and Biology},
Volume = {25},
Number = {21--36},
Year = {2008},
Key = {fds151397}
}
@article{fds151398,
Author = {D.G. Schaeffer and A. Catlla and T. Witelski and E. Monson and A.
Lin},
Title = {On spiking models of synaptic activity and impulsive
differential equations},
Journal = {SIAM Review},
Volume = {50},
Number = {553--569},
Year = {2008},
Key = {fds151398}
}
@article{fds151399,
Author = {D.G. Schaeffer and W. Ying and X. Zhao},
Title = {Asymptotic approximation of an ionic model for cardiac
restitution},
Journal = {Nonlinear Dynamics},
Volume = {51},
Pages = {189--198},
Year = {2008},
Key = {fds151399}
}
@article{fds139613,
Author = {D.G. Schaeffer and X. Zhao},
Title = {Alternate pacing of border-collision period-doubling
bifurcations},
Journal = {Nonlinear Dynamics},
Volume = {50},
Pages = {733--742},
Year = {2007},
Key = {fds139613}
}
@article{fds151392,
Author = {D.G. Schaeffer and C. Berger and D. Gauthier and H. Dobrovolny and W.
Krassowska, X. Zhao},
Title = {Period-doubling bifurcation to alternans in paced cardiac
tissue: crossover from smooth to border-collision
characteristics},
Journal = {Phys. Rev. Lett},
Volume = {99},
Pages = {058101},
Year = {2007},
Key = {fds151392}
}
@article{fds139367,
Author = {D.G. Schaeffer and C. Berger and D. Gauthier and X.
Zhao},
Title = {Small-signal amplification of period-doubling bifurcations
in smooth iterated mappings},
Journal = {Nonlinear Dynamics},
Volume = {48},
Pages = {381--389},
Year = {2007},
Key = {fds139367}
}
@article{fds51308,
Author = {D.G. Schaeffer and M Shearer and T. Witelski},
Title = {Boundary-value problems for hyperbolic partial differential
equations related to steady granular flow},
Journal = {Math. and Mech. of Solids},
Volume = {12},
Pages = {665--699},
Year = {2007},
Key = {fds51308}
}
@article{fds139450,
Author = {D.G. Schaeffer and J. Cain and D. Gauthier and S. Kalb and W. Krassowska and R. Oliver and E. Tolkacheva and W. Ying},
Title = {An ionically based mapping model with memory for cardiac
restitution},
Journal = {Bull Math Bio},
Volume = {69},
Pages = {459--482},
Year = {2007},
Key = {fds139450}
}
@article{fds51311,
Author = {D.G. Schaeffer and M. Matthews and P. Gremaud},
Title = {On the computation of steady hopper flows III: Comparison of
von Mises and Matsuoka-Nakai materials"},
Journal = {J Comp. Phy.},
Volume = {219},
Pages = {443-454},
Year = {2006},
Key = {fds51311}
}
@article{fds51315,
Author = {D.G. Schaeffer and S. Kalb and E. Tolkacheva and D. Gauthier and W.
Krassowska},
Title = {Features of the restitution portrait for mapping models with
an arbitrary amount of memory},
Journal = {Chaos},
Volume = {15},
Pages = {023701--},
Year = {2005},
Key = {fds51315}
}
@article{fds139449,
Author = {D.G. Schaeffer and B. Tighe and J. Socolar and G. Michener and M.
Huber},
Title = {Force distribution in granular media},
Journal = {PRE},
Volume = {72},
Pages = {031306},
Year = {2005},
Key = {fds139449}
}
@article{fds39199,
Author = {D.G. Schaeffer and J. Cain and E. Tolkacheva and D.
Gauthier},
Title = {Rate-dependent waveback velocity of cardiac action
potentials in a done-dimensional cable},
Journal = {Phys Rev E},
Volume = {70},
Pages = {061906--?},
Year = {2004},
Key = {fds39199}
}
@article{fds51313,
Author = {David G. Schaeffer and J.V. Matthews},
Title = {A steady-state, hyperbolic free boundary problem for a
granular-flow model},
Journal = {SIAM J. Math Analysis},
Volume = {36},
Pages = {256-271},
Year = {2004},
Key = {fds51313}
}
@article{fds16639,
Author = {David G. Schaeffer and M. Shearer and T. Witelski},
Title = {One-dimensional solutions of an elastoplasticity model of
granular material},
Journal = {Math. Models and Methods in Appl. Sciences},
Volume = {13},
Pages = {1629--1671},
Year = {2003},
Key = {fds16639}
}
@article{fds15963,
Author = {Colleen C. Mitchell and David G. Schaeffer},
Title = {A two-current model for the dynamics of cardiac
membrane},
Journal = {Bulletin Math Bio},
Volume = {65},
Pages = {767--793},
Year = {2003},
Key = {fds15963}
}
@article{fds15922,
Author = {David G. Schaeffer and E. Tolkacheva and D. Gauthier and W
Krassowska},
Title = {Condition for alternans and stability of the 1:1 response
pattern in a 'memory' model of paced cardiac
dynamics},
Journal = {Phys Rev E},
Volume = {67},
Pages = {031904},
Year = {2003},
Key = {fds15922}
}
@article{fds15928,
Author = {David G. Schaeffer},
Title = {Review of W. Cheney's "Analysis for applied
mathematics"},
Journal = {Amer. Math Monthly},
Volume = {110},
Pages = {550},
Year = {2003},
Key = {fds15928}
}
@article{fds51309,
Author = {Pierre Gremaud and John V. Matthews and David G.
Schaeffer},
Title = {Secondary circulation in granular flow through a
nonaxisymmetric hopper},
Journal = {SIAM J Appl. Math},
Volume = {64},
Pages = {583--600},
Year = {2003},
Key = {fds51309}
}
@article{fds29019,
Author = {D.G. Schaeffer and E. Tolkacheva and D. Gauthier and W.
Krassowska},
Title = {Condition for alternans and stability of the 1:1 response
pattern in a memory model of paced cardiac
dynamics},
Journal = {Phys Rev E},
Volume = {67},
Pages = {031904},
Year = {2003},
Key = {fds29019}
}
@article{fds15925,
Author = {David G. Schaeffer and Elena Tolkacheva and Colleen
Mitchell},
Title = {Analysis of the Fenton-Karma model through a one-dimensional
map},
Journal = {Chaos},
Volume = {12},
Pages = {1034-1042},
Year = {2002},
Key = {fds15925}
}
@article{fds15929,
Author = {David G. Schaeffer and J. Socolar and P. Claudin and J.-P.
Bouchard},
Title = {Directed force chain models and stress reponse in static
granular materials},
Journal = {Euro. Phys. J. E},
Volume = {7},
Pages = {353--370},
Year = {2002},
Key = {fds15929}
}
@article{fds29015,
Author = {D.G. Schaeffer and E. Tolkacheva and D. Gauthier and C.
Mitchell},
Title = {Analysis of the Fenton-Karma model through approximation by
a one-dimensional map},
Journal = {Chaos},
Volume = {12},
Pages = {1034},
Year = {2002},
Key = {fds29015}
}
@article{fds10419,
Author = {Witelski, Thomas P. and Schaeffer, David G. and Shearer,
Michael},
Title = {A discrete model for an ill-posed nonlinear parabolic
PDE},
Journal = {Phys. D, vol. 160, no. 3-4, pp. 189--221,
2001},
MRNUMBER = {1872040},
Key = {fds10419}
}
@article{fds10420,
Author = {G. Metcalfe and L. Kondic and D. Schaeffer and S. Tennakoon and R.
Behringer},
Title = {Granular friction and the fluid-solid transition for shaken
granular materials},
Journal = {Phys. Rev. E 65 (2002)},
Key = {fds10420}
}
@article{fds9762,
Author = {Hayes, Brian T. and Schaeffer, David G.},
Title = {Stress-controlled shear waves in a saturated granular
medium},
Journal = {European J. Appl. Math., vol. 11, no. 1, pp. 81--94,
2000},
MRNUMBER = {2000k:74037},
Key = {fds9762}
}
@article{fds9766,
Author = {David G Schaeffer and M. Sexton and J. Socolar},
Title = {Force Distribution in a Scalar Model for Non-Cohesive
Granular Material},
Journal = {Phys. Rev. Lett. E 60 (1999), 1999-2008},
Key = {fds9766}
}
@article{fds10063,
Author = {Gremaud, Pierre Alain and Schaeffer, David G. and Shearer,
Michael},
Title = {Numerical determination of flow corrective inserts for
granular materials in conical hoppers},
Journal = {Internat. J. Non-Linear Mech., vol. 35, no. 5, pp. 869--882,
2000},
MRNUMBER = {2001a:76129},
Key = {fds10063}
}
@article{fds10064,
Author = {Hayes, Brian T. and Schaeffer, David G.},
Title = {Plane shear waves under a periodic boundary disturbance in a
saturated granular medium},
Journal = {Phys. D, vol. 121, no. 1-2, pp. 193--212,
1998},
MRNUMBER = {99g:73052},
Key = {fds10064}
}
@article{fds10065,
Author = {Howle, Laurens and Schaeffer, David G. and Shearer, Michael and Zhong, Pei},
Title = {Lithotripsy: the treatment of kidney stones with shock
waves},
Journal = {SIAM Rev., vol. 40, no. 2, pp. 356--371 (electronic),
1998},
MRNUMBER = {99d:92009},
Key = {fds10065}
}
@article{fds8985,
Author = {David G Schaeffer and M. Shearer},
Title = {A Simple Model for Stress Fluctuations in Plasticity, with
Application to Granular Materials},
Journal = {SIAM J. Appl. Math. 58(1998), 1791-1807.},
Key = {fds8985}
}
@article{fds8986,
Author = {G. Tardos and M.I. Khan and David G Schaeffer},
Title = {Forces On a Slowly Rotating, Rough Cylinder in a Couette
Device Containing a Dry, Frictional Powder},
Journal = {Physics of Fluids 10(1998), 335-341.},
Key = {fds8986}
}
@article{fds10066,
Author = {Schaeffer, David G. and Shearer, Michael},
Title = {The influence of material non-uniformity preceding
shear-band formation in a model for granular
flow},
Journal = {European J. Appl. Math., vol. 8, no. 5, pp. 457--483,
1997},
MRNUMBER = {98g:73016},
Key = {fds10066}
}
@article{fds8982,
Author = {M. K. Gordon and David G Schaeffer and M. Shearer},
Title = {Plane Shear Waves in a Fully Saturated Granular Medium with
Velocity-and Stress-Controlled Boundary Conditions},
Journal = {Int. J. Nonlinear Mechancis 32(1997), 489-503.},
Key = {fds8982}
}
@article{fds8984,
Author = {P. Gremaud and David G Schaeffer and Ml. Shearer},
Title = {Granular Flow Past a Binsert},
Journal = {Report to Jenike & Johanson, Inc.},
Key = {fds8984}
}
@article{fds8987,
Author = {David G Schaeffer and M. Shearer},
Title = {Models of Stress Fluctuations in Granular Materials, Powders
and Grains},
Journal = {R.P. Behringer and J. Jenkins (eds.), Balkema,
1997.},
Key = {fds8987}
}
@article{fds10067,
Author = {Shearer, Michael and Schaeffer, David G.},
Title = {Riemann problems for $5\times 5$ systems of fully non-linear
equations related to hypoplasticity},
Journal = {Math. Methods Appl. Sci., vol. 19, no. 18, pp. 1433--1444,
1996},
MRNUMBER = {97m:73028},
Key = {fds10067}
}
@article{fds10269,
Author = {Schaeffer, David G.},
Title = {A survey of granular flow},
Journal = {Hyperbolic problems: theory, numerics, applications (Stony
Brook, NY, 1994), pp. 63--80, 1996, World Sci. Publishing,
River Edge, NJ},
MRNUMBER = {1446015},
Key = {fds10269}
}
@article{fds8983,
Author = {David G Schaeffer},
Title = {Memoirs From a Small-Scale Course On Industrial
Math},
Journal = {Notices AMS, 43(1996), 550-557.},
Key = {fds8983}
}
@article{fds10068,
Author = {Shearer, Michael and Schaeffer, David G.},
Title = {A class of fully nonlinear $2\times 2$ systems of partial
differential equations},
Journal = {Comm. Partial Differential Equations, vol. 20, no. 7-8, pp.
1105--1131, 1995},
MRNUMBER = {96b:35133},
Key = {fds10068}
}
@article{fds8980,
Author = {Shearer, Michael and Schaeffer, David G.},
Title = {Fully nonlinear hyperbolic systems of partial differential
equations related to plasticity},
Journal = {Comm. Partial Differential Equations, vol. 20, no. 7-8, pp.
1133--1153, 1995},
MRNUMBER = {96b:35134},
Key = {fds8980}
}
@article{fds8977,
Author = {Garaizar, F. Xabier and Schaeffer, David
G.},
Title = {Numerical computations for shear bands in an antiplane shear
model},
Journal = {J. Mech. Phys. Solids, vol. 42, no. 1, pp. 21--50,
1994},
MRNUMBER = {94j:73029},
Key = {fds8977}
}
@article{fds8978,
Author = {Gardner, Carl L. and Schaeffer, David G.},
Title = {Numerical simulation of uniaxial compression of a granular
material with wall friction},
Journal = {SIAM J. Appl. Math., vol. 54, no. 6, pp. 1676--1692,
1994},
MRNUMBER = {95g:76010},
Key = {fds8978}
}
@article{fds8979,
Author = {Shearer, Michael and Schaeffer, David G.},
Title = {Unloading near a shear band in granular material},
Journal = {Quart. Appl. Math., vol. 52, no. 3, pp. 579--600,
1994},
MRNUMBER = {95m:73030},
Key = {fds8979}
}
@article{fds8981,
Author = {F.X. Garzizar and David G Schaeffer and M. Shearer and J.
Trangenstein},
Title = {Formation and Development of Shear Bands in Granular
Material},
Journal = {Trans. of 11th Army Conf. on Appl. Math. &
Computing.},
Key = {fds8981}
}
@article{fds10069,
Author = {Shearer, Michael and Schaeffer, David G.},
Title = {The initial value problem for a system modelling
unidirectional longitudinal elastic-plastic
waves},
Journal = {SIAM J. Math. Anal., vol. 24, no. 5, pp. 1111--1144,
1993},
MRNUMBER = {95f:73038},
Key = {fds10069}
}
@article{fds10070,
Author = {Schaeffer, David G. and Shearer, Michael},
Title = {Unloading near a shear band: a free boundary problem for the
wave equation},
Journal = {Comm. Partial Differential Equations, vol. 18, no. 7-8, pp.
1271--1298, 1993},
MRNUMBER = {94i:35203},
Key = {fds10070}
}
@article{fds10071,
Author = {Schaeffer, David G. and Schecter, Stephen and Shearer,
Michael},
Title = {Non-strictly hyperbolic conservation laws with a parabolic
line},
Journal = {J. Differential Equations, vol. 103, no. 1, pp. 94--126,
1993},
MRNUMBER = {94d:35102},
Key = {fds10071}
}
@article{fds10072,
Author = {Schaeffer, David G.},
Title = {A mathematical model for localization in granular
flow},
Journal = {Proc. Roy. Soc. London Ser. A, vol. 436, no. 1897, pp.
217--250, 1992},
MRNUMBER = {93g:73061},
Key = {fds10072}
}
@article{fds10073,
Author = {Schaeffer, David G. and Shearer, Michael},
Title = {Scale-invariant initial value problems in one-dimensional
dynamic elastoplasticity, with consequences for
multidimensional nonassociative plasticity},
Journal = {European J. Appl. Math., vol. 3, no. 3, pp. 225--254,
1992},
MRNUMBER = {93g:73057},
Key = {fds10073}
}
@article{fds10074,
Author = {An, Lian Jun and Schaeffer, David G.},
Title = {The flutter instability in granular flow},
Journal = {J. Mech. Phys. Solids, vol. 40, no. 3, pp. 683--698,
1992},
MRNUMBER = {93c:73053},
Key = {fds10074}
}
@article{fds10075,
Author = {Wang, Feng and Gardner, Carl L. and Schaeffer, David
G.},
Title = {Steady-state computations of granular flow in an
axisymmetric hopper},
Journal = {SIAM J. Appl. Math., vol. 52, no. 4, pp. 1076--1088,
1992},
MRNUMBER = {93c:73040},
Key = {fds10075}
}
@article{fds10076,
Author = {Schaeffer, David G. and Shearer, Michael},
Title = {Loss of hyperbolicity in yield vertex plasticity models
under nonproportional loading},
Journal = {Nonlinear evolution equations that change type, pp.
192--217, 1990, Springer, New York},
MRNUMBER = {92f:73022},
Key = {fds10076}
}
@article{fds10077,
Author = {Schaeffer, David G.},
Title = {Mathematical issues in the continuum formulation of slow
granular flow},
Journal = {Two phase flows and waves (Minneapolis, MN, 1989), pp.
118--129, 1990, Springer, New York},
MRNUMBER = {91f:73014},
Key = {fds10077}
}
@article{fds10079,
Author = {Schaeffer, David G.},
Title = {Instability and ill-posedness in the deformation of granular
materials},
Journal = {Internat. J. Numer. Anal. Methods Geomech., vol. 14, no. 4,
pp. 253--278, 1990},
MRNUMBER = {91e:73071},
Key = {fds10079}
}
@article{fds10081,
Author = {Schaeffer, David G. and Shearer, Michael and Pitman, E.
Bruce},
Title = {Instability in critical state theories of granular
flow},
Journal = {SIAM J. Appl. Math., vol. 50, no. 1, pp. 33--47,
1990},
MRNUMBER = {90k:73044},
Key = {fds10081}
}
@article{fds10080,
Author = {Shearer, Michael and Schaeffer, David G.},
Title = {The quasidynamic approximation in critical state
plasticity},
Journal = {Arch. Rational Mech. Anal., vol. 108, no. 3, pp. 267--280,
1989},
MRNUMBER = {91d:73031},
Key = {fds10080}
}
@article{fds10082,
Author = {Pitman, E. Bruce and Schaeffer, David G.},
Title = {Instability and ill-posedness in granular
flow},
Journal = {Current progress in hyberbolic systems: Riemann problems and
computations (Brunswick, ME, 1988), pp. 241--250, 1989,
Amer. Math. Soc., Providence, RI},
MRNUMBER = {90k:73037},
Key = {fds10082}
}
@article{fds10083,
Author = {Schaeffer, David G. and Pitman, E. Bruce},
Title = {Ill-posedness in three-dimensional plastic
flow},
Journal = {Comm. Pure Appl. Math., vol. 41, no. 7, pp. 879--890,
1988},
MRNUMBER = {89m:73018},
Key = {fds10083}
}
@article{fds10085,
Author = {Beale, J. Thomas and Schaeffer, David G.},
Title = {Nonlinear behavior of model equations which are linearly
ill-posed},
Journal = {Comm. Partial Differential Equations, vol. 13, no. 4, pp.
423--467, 1988},
MRNUMBER = {89h:35329},
Key = {fds10085}
}
@article{fds10087,
Author = {Schaeffer, David G. and Shearer, Michael},
Title = {Riemann problems for nonstrictly hyperbolic $2\times 2$
systems of conservation laws},
Journal = {Trans. Amer. Math. Soc., vol. 304, no. 1, pp. 267--306,
1987},
MRNUMBER = {88m:35101},
Key = {fds10087}
}
@article{fds10088,
Author = {Pitman, E. Bruce and Schaeffer, David G.},
Title = {Stability of time dependent compressible granular flow in
two dimensions},
Journal = {Comm. Pure Appl. Math., vol. 40, no. 4, pp. 421--447,
1987},
MRNUMBER = {88i:35170},
Key = {fds10088}
}
@article{fds10089,
Author = {Schaeffer, David G.},
Title = {Instability in the evolution equations describing
incompressible granular flow},
Journal = {J. Differential Equations, vol. 66, no. 1, pp. 19--50,
1987},
MRNUMBER = {88i:35169},
Key = {fds10089}
}
@article{fds10090,
Author = {Shearer, M. and Schaeffer, D. G. and Marchesin, D. and Paes-Leme, P. L.},
Title = {Solution of the Riemann problem for a prototype $2\times 2$
system of nonstrictly hyperbolic conservation
laws},
Journal = {Arch. Rational Mech. Anal., vol. 97, no. 4, pp. 299--320,
1987},
MRNUMBER = {88a:35156},
Key = {fds10090}
}
@article{fds10091,
Author = {Schaeffer, David G. and Shearer, Michael},
Title = {The classification of $2\times 2$ systems of nonstrictly
hyperbolic conservation laws, with application to oil
recovery},
Journal = {Comm. Pure Appl. Math., vol. 40, no. 2, pp. 141--178,
1987},
MRNUMBER = {88a:35155},
Key = {fds10091}
}
@article{fds10270,
Author = {Shearer, Michael and Schaeffer, David G.},
Title = {Recent developments in nonstrictly hyperbolic conservation
laws},
Journal = {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},
MRNUMBER = {905075},
Key = {fds10270}
}
@article{fds10086,
Author = {Schaeffer, David G. and Shearer, Michael},
Title = {Three phase flow in a porous medium and the classification
of nonstrictly hyperbolic conservation laws},
Journal = {International workshop on applied differential equations
(Beijing, 1985), pp. 154--162, 1986, World Sci. Publishing,
Singapore},
MRNUMBER = {89c:35100},
Key = {fds10086}
}
@article{fds10092,
Author = {Shearer, Michael and Schaeffer, David G.},
Title = {Three-phase flow in a porous medium and the classification
of non-strictly hyperbolic conservation laws},
Journal = {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},
MRNUMBER = {87j:76093},
Key = {fds10092}
}
@article{fds10271,
Author = {Schaeffer, David G.},
Title = {Instability in the flow of granular materials},
Journal = {Mathematics applied to fluid mechanics and stability (Troy,
N.Y., 1985), pp. 274, 1986, SIAM, Philadelphia,
PA},
MRNUMBER = {869642},
Key = {fds10271}
}
@article{fds10094,
Author = {Golubitsky, M. and Marsden, J. and Schaeffer,
D.},
Title = {Bifurcation problems with hidden symmetries},
Journal = {Partial differential equations and dynamical systems, pp.
181--210, 1984, Pitman, Boston, MA},
MRNUMBER = {86a:58020},
Key = {fds10094}
}
@article{fds10095,
Author = {Holder, E. J. and Schaeffer, D.},
Title = {Boundary conditions and mode jumping in the von K\'arm\'an
equations},
Journal = {SIAM J. Math. Anal., vol. 15, no. 3, pp. 446--458,
1984},
MRNUMBER = {85m:73029},
Key = {fds10095}
}
@article{fds10096,
Author = {Schaeffer, David G.},
Title = {Topics in bifurcation theory},
Journal = {Systems of nonlinear partial differential equations (Oxford,
1982), pp. 219--262, 1983, Reidel, Dordrecht},
MRNUMBER = {85e:58107},
Key = {fds10096}
}
@article{fds10097,
Author = {Golubitsky, Martin and Schaeffer, David},
Title = {A discussion of symmetry and symmetry breaking},
Journal = {Singularities, Part 1 (Arcata, Calif., 1981), pp. 499--515,
1983, Amer. Math. Soc., Providence, RI},
MRNUMBER = {85b:58018},
Key = {fds10097}
}
@article{fds10098,
Author = {Ball, J. M. and Schaeffer, D. G.},
Title = {Bifurcation and stability of homogeneous equilibrium
configurations of an elastic body under dead-load
tractions},
Journal = {Math. Proc. Cambridge Philos. Soc., vol. 94, no. 2, pp.
315--339, 1983},
MRNUMBER = {84k:73033},
Key = {fds10098}
}
@article{fds10101,
Author = {Golubitsky, Martin and Schaeffer, David},
Title = {Bifurcations with ${\rm O}(3)$\ symmetry including
applications to the B\'enard problem},
Journal = {Comm. Pure Appl. Math., vol. 35, no. 1, pp. 81--111,
1982},
MRNUMBER = {83b:58026},
Key = {fds10101}
}
@article{fds10099,
Author = {Schaeffer, David},
Title = {General introduction to steady state bifurcation},
Journal = {Dynamical systems and turbulence, Warwick 1980 (Coventry,
1979/1980), pp. 13--47, 1981, Springer, Berlin},
MRNUMBER = {83j:58037},
Key = {fds10099}
}
@article{fds10103,
Author = {Golubitsky, Martin and Keyfitz, Barbara Lee and Schaeffer,
David G.},
Title = {A singularity theory analysis of a thermal-chainbranching
model for the explosion peninsula},
Journal = {Comm. Pure Appl. Math., vol. 34, no. 4, pp. 433--463,
1981},
MRNUMBER = {82h:58010},
Key = {fds10103}
}
@article{fds10100,
Author = {Schaeffer, David G. and Golubitsky, Martin
A.},
Title = {Bifurcation analysis near a double eigenvalue of a model
chemical reaction},
Journal = {Arch. Rational Mech. Anal., vol. 75, no. 4, pp. 315--347,
1980/81},
MRNUMBER = {83b:80010},
Key = {fds10100}
}
@article{fds10102,
Author = {Golubitsky, Martin and Keyfitz, Barbara L. and Schaeffer,
David},
Title = {A singularity theory approach to qualitative behavior of
complex chemical systems},
Journal = {New approaches to nonlinear problems in dynamics (Proc.
Conf., Pacific Grove, Calif., 1979), pp. 257--270, 1980,
SIAM, Philadelphia, Pa.},
MRNUMBER = {82i:80011},
Key = {fds10102}
}
@article{fds10104,
Author = {Golubitsky, Martin and Schaeffer, David},
Title = {A singularity theory approach to steady-state bifurcation
theory},
Journal = {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},
MRNUMBER = {82a:58018},
Key = {fds10104}
}
@article{fds10105,
Author = {Golubitsky, Martin and Schaeffer, David},
Title = {A qualitative approach to steady-state bifurcation
theory},
Journal = {New approaches to nonlinear problems in dynamics (Proc.
Conf., Pacific Grove, Calif., 1979), pp. 43--51, 1980, SIAM,
Philadelphia, Pa.},
MRNUMBER = {81k:58026},
Key = {fds10105}
}
@article{fds10240,
Author = {Schaeffer, David G.},
Title = {Qualitative analysis of a model for boundary effects in the
Taylor problem},
Journal = {Math. Proc. Cambridge Philos. Soc., vol. 87, no. 2, pp.
307--337, 1980},
MRNUMBER = {81c:35007},
Key = {fds10240}
}
@article{fds10106,
Author = {Schaeffer, David and Golubitsky, Martin},
Title = {Boundary conditions and mode jumping in the buckling of a
rectangular plate},
Journal = {Comm. Math. Phys., vol. 69, no. 3, pp. 209--236,
1979},
MRNUMBER = {81k:35019},
Key = {fds10106}
}
@article{fds10107,
Author = {Golubitsky, M. and Schaeffer, D.},
Title = {An analysis of imperfect bifurcation},
Journal = {Bifurcation theory and applications in scientific
disciplines (Papers, Conf., New York, 1977), pp. 127--133,
1979, New York Acad. Sci., New York},
MRNUMBER = {81c:58027},
Key = {fds10107}
}
@article{fds10241,
Author = {Golubitsky, M. and Schaeffer, D.},
Title = {A theory for imperfect bifurcation via singularity
theory},
Journal = {Comm. Pure Appl. Math., vol. 32, no. 1, pp. 21--98,
1979},
MRNUMBER = {80j:58061},
Key = {fds10241}
}
@article{fds10242,
Author = {Golubitsky, M. and Schaeffer, D.},
Title = {Imperfect bifurcation in the presence of
symmetry},
Journal = {Comm. Math. Phys., vol. 67, no. 3, pp. 205--232,
1979},
MRNUMBER = {80j:58017},
Key = {fds10242}
}
@article{fds10243,
Author = {Schaeffer, David G.},
Title = {An application of the Nash-Moser theorem to a free boundary
problem},
Journal = {Nonlinear partial differential equations and applications
(Proc. Special Sem., Indiana Univ., Bloomington, Ind.,
1976-1977), pp. 129--143, 1978, Springer,
Berlin},
MRNUMBER = {80c:35067},
Key = {fds10243}
}
@article{fds10244,
Author = {Schaeffer, David G.},
Title = {Non-uniqueness in the equilibrium shape of a confined
plasma},
Journal = {Comm. Partial Differential Equations, vol. 2, no. 6, pp.
587--600, 1977},
MRNUMBER = {58:29210},
Key = {fds10244}
}
@article{fds10245,
Author = {Schaeffer, David G.},
Title = {Some examples of singularities in a free
boundary},
Journal = {Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), vol. 4, no. 1, pp.
133--144, 1977},
MRNUMBER = {58:24345},
Key = {fds10245}
}
@article{fds10248,
Author = {Schaeffer, David G.},
Title = {One-sided estimates for the curvature of the free boundary
in the obstacle problem},
Journal = {Advances in Math., vol. 24, no. 1, pp. 78--98,
1977},
MRNUMBER = {56:6506},
Key = {fds10248}
}
@article{fds10249,
Author = {Guillemin, Victor and Schaeffer, David},
Title = {On a certain class of Fuchsian partial differential
equations},
Journal = {Duke Math. J., vol. 44, no. 1, pp. 157--199,
1977},
MRNUMBER = {55:3504},
Key = {fds10249}
}
@article{fds10250,
Author = {Schaeffer, David G.},
Title = {Supersonic flow past a nearly straight wedge},
Journal = {Duke Math. J., vol. 43, no. 3, pp. 637--670,
1976},
MRNUMBER = {54:1850},
Key = {fds10250}
}
@article{fds10254,
Author = {Schaeffer, David G.},
Title = {A new proof of the infinite differentiability of the free
boundary in the Stefan problem},
Journal = {J. Differential Equations, vol. 20, no. 1, pp. 266--269,
1976},
MRNUMBER = {52:11325},
Key = {fds10254}
}
@article{fds10246,
Author = {Schaeffer, David G.},
Title = {Singularities and the obstacle problem},
Journal = {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.},
MRNUMBER = {57:10227},
Key = {fds10246}
}
@article{fds10247,
Author = {Schaeffer, David G.},
Title = {On the existence of discrete frequencies of oscillation in a
rotating fluid},
Journal = {Studies in Appl. Math., vol. 54, no. 3, pp. 269--274,
1975},
MRNUMBER = {56:10385},
Key = {fds10247}
}
@article{fds10255,
Author = {Schaeffer, David G.},
Title = {An example of generic regularity for a non-linear elliptic
equation},
Journal = {Arch. Rational Mech. Anal., vol. 57, pp. 134--141,
1975},
MRNUMBER = {52:8649},
Key = {fds10255}
}
@article{fds10256,
Author = {Guillemin, V. and Schaeffer, D.},
Title = {Fourier integral operators from the Radon transform point of
view},
Journal = {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.},
MRNUMBER = {52:1420},
Key = {fds10256}
}
@article{fds10257,
Author = {Schaeffer, David G.},
Title = {A stability theorem for the obstacle problem},
Journal = {Advances in Math., vol. 17, no. 1, pp. 34--47,
1975},
MRNUMBER = {52:994},
Key = {fds10257}
}
@article{fds10258,
Author = {Golubitsky, Martin and Schaeffer, David G.},
Title = {Stability of shock waves for a single conservation
law},
Journal = {Advances in Math., vol. 16, pp. 65--71, 1975},
MRNUMBER = {51:10889},
Key = {fds10258}
}
@article{fds10253,
Author = {Schaeffer, David G.},
Title = {The capacitor problem},
Journal = {Indiana Univ. Math. J., vol. 24, no. 12, pp. 1143--1167,
1974/75},
MRNUMBER = {52:14607},
Key = {fds10253}
}
@article{fds10251,
Author = {Guillemin, V. and Schaeffer, D.},
Title = {Remarks on a paper of D. Ludwig},
Journal = {Bull. Amer. Math. Soc., vol. 79, pp. 382--385,
1973},
MRNUMBER = {53:13800},
Key = {fds10251}
}
@article{fds10260,
Author = {Schaeffer, David G.},
Title = {An application of von Neumann algebras to finite difference
equations},
Journal = {Partial differential equations (Proc. Sympos. Pure Math.,
Vol. XXIII, Univ. California, Berkeley, Calif., 1971), pp.
183--194, 1973, Amer. Math. Soc., Providence,
R.I.},
MRNUMBER = {49:838},
Key = {fds10260}
}
@article{fds10261,
Author = {Schaeffer, David G.},
Title = {A regularity theorem for conservation laws},
Journal = {Advances in Math., vol. 11, pp. 368--386,
1973},
MRNUMBER = {48:4523},
Key = {fds10261}
}
@article{fds10262,
Author = {Schaeffer, David G.},
Title = {An index theorem for systems of difference operators on a
half space},
Journal = {Inst. Hautes \'Etudes Sci. Publ. Math., no. 42, pp.
121--127, 1973},
MRNUMBER = {47:9341},
Key = {fds10262}
}
@article{fds10252,
Author = {Schaeffer, David G.},
Title = {Approximation of the Dirichlet problem on a half
space},
Journal = {Acta Math., vol. 129, no. 3--4, pp. 281--295,
1972},
MRNUMBER = {52:16058},
Key = {fds10252}
}
@article{fds10263,
Author = {Schaeffer, David G.},
Title = {An application of von Neumann algebras to finite difference
equations},
Journal = {Ann. of Math. (2), vol. 95, pp. 117--129,
1972},
MRNUMBER = {45:5563},
Key = {fds10263}
}
@article{fds10259,
Author = {Coburn, L. A. and Douglas, R. G. and Schaeffer, D. G. and Singer, I. M.},
Title = {$C\sp{\ast} $-algebras of operators on a half-space. II.
Index theory},
Journal = {Inst. Hautes \'Etudes Sci. Publ. Math., no. 40, pp. 69--79,
1971},
MRNUMBER = {50:10884},
Key = {fds10259}
}
@article{fds10264,
Author = {Schaeffer, David G.},
Title = {Wiener-Hopf factorization of the symbol of an elliptic
difference operator},
Journal = {J. Functional Analysis, vol. 5, pp. 383--394,
1970},
MRNUMBER = {41:7491},
Key = {fds10264}
}
@article{fds10266,
Author = {Schaeffer, David G.},
Title = {An extension of Hartogs' theorem for domains whose boundary
is not smooth},
Journal = {Proc. Amer. Math. Soc., vol. 25, pp. 714--715,
1970},
MRNUMBER = {41:5650},
Key = {fds10266}
}
@article{fds10265,
Author = {Schaeffer, David G.},
Title = {The Dirichlet problem with generalized functions as
data},
Journal = {Ann. Mat. Pura Appl. (4), vol. 83, pp. 153--174,
1969},
MRNUMBER = {41:7271},
Key = {fds10265}
}
@article{fds10267,
Author = {Schaeffer, David G.},
Title = {A note on the representation of a solution of an elliptic
differential equation near an isolated singularity},
Journal = {Proc. amer. Math. Soc., vol. 23, pp. 450--454,
1969},
MRNUMBER = {39:7262},
Key = {fds10267}
}
%% Papers Accepted
@article{fds151393,
Author = {D.G. Schaeffer and M. Beck and C. Jones and M.
Wechselberger},
Title = {Electrical waves in a one-dimensional model of cardiac
tissue},
Journal = {SIAM Applied Dynamical Systems},
Year = {2008},
Key = {fds151393}
}
@article{fds151394,
Author = {D.G. Schaeffer and Shu Dai},
Title = {Spectrum of a linearized amplitude equation for alternans in
a cardiac fiber},
Journal = {SIAM Analysis},
Year = {2008},
Key = {fds151394}
}
@article{fds151395,
Author = {D.G. Schaeffer and R. Iverson},
Title = {Steady and intermittent slipping in a model of landslide
motion regulated by pore-pressure feedback},
Journal = {SIAM Applied Math},
Year = {2008},
Key = {fds151395}
}
%% Papers Submitted
@article{fds151400,
Author = {S. Dai and D.G. Schaeffer},
Title = {Bifurcation in a modulation equation for alternans in a
cardiac fiber},
Journal = {Math. Modeling and Num. Anal.},
Year = {2008},
Key = {fds151400}
}
%% Preprints
@article{fds139451,
Author = {D.G. Schaeffer and A. Catlla and T. Witelski and E. Monson and A.
Lin},
Title = {Annular patterns in reaction-diffusion systems and their
implications for neural-glial interactions},
Year = {2008},
Key = {fds139451}
}
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Mathematics Department