# zbMATH — the first resource for mathematics

## Schaeffer, David G.

Compute Distance To:
 Author ID: schaeffer.david-g Published as: Schaeffer, D.; Schaeffer, D. G.; Schaeffer, David; Schaeffer, David G. Homepage: http://fds.duke.edu/db/aas/math/faculty/schaeffer/ External Links: MGP · dblp
 Documents Indexed: 111 Publications since 1969, including 4 Books
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#### Co-Authors

 29 single-authored 28 Shearer, Michael 15 Golubitsky, Martin A. 5 Pitman, E. Bruce 4 Cain, John W. 4 Gauthier, Daniel J. 4 Gremaud, Pierre-Alain 4 Witelski, Thomas P. 3 Barker, Thomas B. 3 Gray, John Mark Nicholas Timm 3 Guillemin, Victor W. 3 Matthews, John V. 3 Tolkacheva, Elena G. 3 Zhao, Xiaopeng 2 Catllá, Anne J. 2 Dai, Shu 2 Gardner, Carl L. 2 Hayes, Brian T. 2 Kalb, Soma S. 2 Keyfitz, Barbara Lee 2 Krassowska, Wanda 2 Mitchell, Colleen C. 2 Ying, Wenjun 1 An, Lianjun 1 Ball, John M. 1 Beale, J. Thomas 1 Beck, Margaret 1 Berger, Carolyn M. 1 Bohorquez, Patricio 1 Ciupe, Stanca M. 1 Cliffe, K. Andrew 1 Coburn, Lewis A. 1 Douglas, Ronald George 1 Forde, Jonathan E. 1 Garaizar, F. Xabier 1 Gordon, Michael S. 1 Holder, E. J. jun. 1 Howle, Laurens E. 1 Iverson, Richard M. 1 Jones, Christopher K. R. T. 1 Joseph, Daniel D. 1 Lin, Anna L. 1 Marchesin, Dan 1 Marsden, Jerrold Eldon 1 Monson, Eric E. 1 Mullin, Tom 1 Oliver, Robert A. 1 Paes-Leme, P. L. 1 Schecter, Stephen 1 Singer, Isadore M. 1 Stewart, Ian Nicholas 1 Tsuji, D. 1 Wang, Feng 1 Wechselberger, Martin 1 Zhong, Pei
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#### Serials

 7 SIAM Journal on Applied Mathematics 6 Communications on Pure and Applied Mathematics 5 Communications in Partial Differential Equations 4 Archive for Rational Mechanics and Analysis 4 Advances in Mathematics 3 Journal of Differential Equations 3 European Journal of Applied Mathematics 3 SIAM Journal on Mathematical Analysis 3 SIAM Review 3 Nonlinear Dynamics 2 Communications in Mathematical Physics 2 International Journal of Non-Linear Mechanics 2 Journal of Fluid Mechanics 2 Journal of the Mechanics and Physics of Solids 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Bulletin of Mathematical Biology 2 Duke Mathematical Journal 2 Publications Mathématiques 2 Proceedings of the American Mathematical Society 2 Physica D 2 Chaos 2 Applied Mathematical Sciences 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Quarterly of Applied Mathematics 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Physics of Fluids 1 Mathematical Population Studies 1 Mathematics and Mechanics of Solids 1 Annals of Mathematics. Second Series 1 SIAM Journal on Applied Dynamical Systems 1 Mathematical Medicine and Biology 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Bulletin of the American Mathematical Society 1 The IMA Volumes in Mathematics and its Applications 1 Texts in Applied Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
all top 5

#### Fields

 52 Partial differential equations (35-XX) 35 Mechanics of deformable solids (74-XX) 29 Fluid mechanics (76-XX) 14 Global analysis, analysis on manifolds (58-XX) 14 Biology and other natural sciences (92-XX) 12 Dynamical systems and ergodic theory (37-XX) 8 Ordinary differential equations (34-XX) 6 Operator theory (47-XX) 5 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Manifolds and cell complexes (57-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 2 Numerical analysis (65-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

85 Publications have been cited 2,045 times in 1,587 Documents Cited by Year
Singularities and groups in bifurcation theory. Volume II. Zbl 0691.58003
Golubitsky, Martin; Stewart, Ian; Schaeffer, David G.
1988
Singularities and groups in bifurcation theory. Volume I. Zbl 0607.35004
Golubitsky, Martin; Schaeffer, David G.
1985
A theory for imperfect bifurcation via singularity theory. Zbl 0409.58007
Golubitsky, M.; Schaeffer, D.
1979
The classification of 2$$\times 2$$ systems of non-strictly hyperbolic conservation laws, with application to oil recovery. Zbl 0673.35073
Schaeffer, David G.; Shearer, Michael
1987
Imperfect bifurcation in the presence of symmetry. Zbl 0467.58019
Golubitsky, M.; Schaeffer, D.
1979
A two-current model for the dynamics of cardiac membrane. Zbl 1334.92097
Mitchell, Colleen C.; Schaeffer, David G.
2003
A regularity theorem for conservation laws. Zbl 0267.35009
Schaeffer, David G.
1973
Instability in the evolution equations describing incompressible granular flow. Zbl 0647.35037
Schaeffer, David G.
1987
$$C^*$$-algebras of operators on a half-space. II: Index theory. Zbl 0241.47027
Coburn, Lewis A.; Douglas, R. G.; Schaeffer, D. G.; Singer, I. M.
1971
Solution of the Riemann problem for a prototype 2$$\times 2$$ system of non-strictly hyperbolic conservation laws. Zbl 0673.35072
Shearer, M.; Schaeffer, D. G.; Marchesin, D.; Paes-Leme, P. L.
1987
Boundary conditions and mode jumping in the buckling of a rectangular plate. Zbl 0414.73036
Schaeffer, David; Golubitsky, Martin
1979
Bifurcation and stability of homogeneous equilibrium configurations of an elastic body under dead-load tractions. Zbl 0568.73057
Ball, J. M.; Schaeffer, D. G.
1983
Supersonic flow past a nearly straight wedge. Zbl 0356.76046
Schaeffer, David G.
1976
Well-posed and ill-posed behaviour of the $$\mu(I)$$-rheology for granular flow. Zbl 1360.76338
Barker, T.; Schaeffer, D. G.; Bohorquez, P.; Gray, J. M. N. T.
2015
Bifurcation problems with hidden symmetries. Zbl 0567.58004
Golubitsky, M.; Marsden, J.; Schaeffer, D.
1984
Riemann problems for nonstrictly hyperbolic 2$$\times 2$$ systems of conservation laws. Zbl 0656.35081
Schaeffer, David G.; Shearer, Michael
1987
Bifurcation analysis near a double eigenvalue of a model chemical reaction. Zbl 0522.35010
Schaeffer, David G.; Golubitsky, Martin A.
1981
Qualitative analysis of a model for boundary effects in the Taylor problem. Zbl 0461.76016
Schaeffer, David G.
1980
A new proof of the infinite differentiability of the free boundary in the Stefan problem. Zbl 0314.35044
Schaeffer, David G.
1976
Non-uniqueness in the equilibrium shape of a confined plasma. Zbl 0371.35017
Schaeffer, David G.
1977
Some examples of singularities in a free boundary. Zbl 0354.35033
Schaeffer, David G.
1977
Bifurcations with O(3) symmetry including applications to the Benard problem. Zbl 0492.58012
Golubitsky, Martin; Schaeffer, David
1982
A stability theorem for the obstacle problem. Zbl 0317.49013
Schaeffer, David G.
1975
On spiking models for synaptic activity and impulsive differential equations. Zbl 1166.34004
Catllá, Anne J.; Schaeffer, David G.; Witelski, Thomas P.; Monson, Eric E.; Lin, Anna L.
2008
On a certain class of Fuchsian partial differential equations. Zbl 0356.35080
Guillemin, Victor; Schaeffer, David
1977
Boundary conditions and mode jumping in the von Kármán equations. Zbl 0542.73057
Holder, E. J.; Schaeffer, D.
1984
Well-posed continuum equations for granular flow with compressibility and $$\mu(I)$$-rheology. Zbl 1404.76278
Barker, T.; Schaeffer, D. G.; Shearer, M.; Gray, J. M. N. T.
2017
Instability and ill-posedness in the deformation of granular materials. Zbl 0727.73026
Schaeffer, David G.
1990
Stability of time dependent compressible granular flow in two dimensions. Zbl 0676.76046
Pitman, E. Bruce; Schaeffer, David G.
1987
Nonstrictly hyperbolic conservation laws with a parabolic line. Zbl 0809.35056
Schaeffer, David G.; Schecter, Stephen; Shearer, Michael
1993
The capacitor problem. Zbl 0283.35068
Schaeffer, David G.
1975
A discrete model for an ill-posed nonlinear parabolic PDE. Zbl 0989.65111
Witelski, Thomas P.; Schaeffer, David G.; Shearer, Michael
2001
Electrical waves in a one-dimensional model of cardiac tissue. Zbl 1167.34364
Beck, Margaret; Jones, Christopher K. R. T.; Schaeffer, David; Wechselberger, Martin
2008
A mathematical model for localization in granular flow. Zbl 0775.73095
Schaeffer, David G.
1992
A singularity theory analysis of a thermal-chainbranching model for the explosion peninsula. Zbl 0497.58006
Golubitsky, Martin; Keyfitz, Barbara Lee; Schaeffer, David G.
1981
One-sided estimates for the curvature of the free boundary in the obstacle problem. Zbl 0354.35075
Schaeffer, David G.
1977
Remarks on a paper of D. Ludwig. Zbl 0256.35008
Guillemin, V.; Schaeffer, D.
1973
Ill-posedness in three-dimensional plastic flow. Zbl 0644.73037
Schaeffer, David G.; Pitman, E. Bruce
1988
A discussion of symmetry and symmetry breaking. Zbl 0535.58010
Golubitsky, Martin; Schaeffer, David
1983
Ordinary differential equations: basics and beyond. Zbl 1364.34003
Schaeffer, David G.; Cain, John W.
2016
The onset of steady vortices in Taylor-Couette flow: the role of approximate symmetry. Zbl 1309.76045
Cliffe, K. A.; Mullin, T.; Schaeffer, D.
2012
Alternate pacing of border-collision period-doubling bifurcations. Zbl 1193.70035
Zhao, Xiaopeng; Schaeffer, David G.
2007
Instability in critical state theories of granular flow. Zbl 0686.73038
Schaeffer, David G.; Shearer, Michael; Pitman, E. Bruce
1990
Stability of shock waves for a single conservation law. Zbl 0295.35051
Golubitsky, Martin; Schaeffer, David G.
1975
Two-term asymptotic approximation of a cardiac restitution curve. Zbl 1106.92030
Cain, John W.; Schaeffer, David G.
2006
Analysis of the Fenton-Karma model through an approximation by a one-dimensional map. Zbl 1080.92509
Tolkacheva, E. G.; Schaeffer, D. G.; Gauthier, D. J.; Mitchell, C. C.
2002
Shearer, Michael; Schaeffer, David G.
1994
Mathematical issues in the continuum formulation of slow granular flow. Zbl 0737.73074
Schaeffer, David G.
1990
Nonlinear behavior of model equations which are linearly ill-posed. Zbl 0679.35082
Beale, J. Thomas; Schaeffer, David G.
1988
Dynamics of Hepatitis B virus infection: what causes viral clearance? Zbl 1215.92027
Ciupe, Stanca M.; Catllá, Anne J.; Forde, Jonathan; Schaeffer, David G.
2011
Steady and intermittent slipping in a model of landslide motion regulated by pore-pressure feedback. Zbl 1165.74033
Schaeffer, David G.; Iverson, Richard M.
2008
An ionically based mapping model with memory for cardiac restitution. Zbl 1139.92309
Schaeffer, David G.; Cain, John W.; Gauthier, Daniel J.; Kalb, Soma S.; Oliver, Robert A.; Tolkacheva, Elena G.; Ying, Wenjun; Krassowska, Wanda
2007
Numerical simulation of uniaxial compression of a granular material with wall friction. Zbl 0817.76040
Gardner, Carl L.; Schaeffer, David G.
1994
Numerical computations for shear bands in an antiplane shear model. Zbl 0792.73032
Garaizar, F. Xabier; Schaeffer, David G.
1994
The flutter instability in granular flow. Zbl 0761.73052
An, Lianjun; Schaeffer, David G.
1992
An example of generic regularity for a non-linear elliptic equation. Zbl 0319.35036
Schaeffer, David G.
1974
Shortening of cardiac action potential duration near an insulating boundary. Zbl 1146.92311
Cain, John W.; Schaeffer, David G.
2008
Small-signal amplification of period-doubling bifurcations in smooth iterated maps. Zbl 1180.70038
Zhao, Xiaopeng; Schaeffer, David G.; Berger, Carolyn M.; Gauthier, Daniel J.
2007
Restitution in mapping models with an arbitrary amount of memory. Zbl 1080.92508
Kalb, Soma S.; Tolkacheva, Elena G.; Schaeffer, David G.; Gauthier, Daniel J.; Krassowska, Wanda
2005
Stability of shear bands in an elastoplastic model for granular flow: The role of discreteness. Zbl 1095.74009
Shearer, Michael; Schaeffer, David G.; Witelski, Thomas P.
2003
Lithotripsy: The treatment of kidney stones with shock waves. Zbl 0916.76100
Howle, Laurens; Schaeffer, David G.; Shearer, Michael; Zhong, Pei
1998
The influence of material non-uniformity preceding shear-band formation in a model for granular flow. Zbl 0895.73021
Schaeffer, David G.; Shearer, Michael
1997
Fully nonlinear hyperbolic systems of partial differential equations related to plasticity. Zbl 0837.35033
Shearer, Michael; Schaeffer, David G.
1995
A class of fully nonlinear $$2 \times 2$$ systems of partial differential equations. Zbl 0837.35032
Shearer, Michael; Schaeffer, David G.
1995
The initial value problem for a system modelling unidirectional longitudinal elastic-plastic waves. Zbl 0782.73028
Shearer, Michael; Schaeffer, David G.
1993
Unloading near a shear band: A free boundary problem for the wave equation. Zbl 0802.35169
Schaeffer, David G.; Shearer, Michael
1993
Instability and ill-posedness in granular flow. Zbl 0683.73013
Pitman, E. Bruce; Schaeffer, David G.
1989
An analysis of imperfect bifurcation. Zbl 0467.58018
Golubitsky, M.; Schaeffer, D.
1979
An index theorem for systems of difference operators on a half space. Zbl 0274.47020
Schaeffer, David G.
1972
An extension of Hartogs’ theorem for domains whose boundary is not smooth. Zbl 0202.07502
Schaeffer, D. G.
1970
Constitutive relations for compressible granular flow in the inertial regime. Zbl 1419.76681
Schaeffer, D. G.; Barker, T.; Tsuji, D.; Gremaud, P.; Shearer, M.; Gray, J. M. N. T.
2019
Asymptotic approximation of an ionic model for cardiac restitution. Zbl 1169.92014
Schaeffer, David G.; Ying, Wenjun; Zhao, Xiaopeng
2008
Spectrum of a linearized amplitude equation for alternans in a cardiac fiber. Zbl 1218.34021
Dai, Shu; Schaeffer, David G.
2008
Boundary value problems for hyperbolic equations related to steady granular flow. Zbl 1138.74015
Schaeffer, David G.; Shearer, Michael; Witelski, Thomas P.
2007
Secondary circulation in granular flow through nonaxisymmetric hoppers. Zbl 1126.76380
Gremaud, Pierre A.; Matthews, John V.; Schaeffer, David G.
2003
Numerical determination of flow corrective inserts for granular materials in conical hoppers. Zbl 1068.76561
Gremaud, Pierre Alain; Schaeffer, David G.; Shearer, Michael
2000
Plane shear waves in a fully saturated granular medium with velocity and stress controlled boundary conditions. Zbl 0890.73017
Gordon, Michael S.; Shearer, Michael; Schaeffer, David
1997
Scale-invariant initial value problems in one-dimensional dynamic elastoplasticity, with consequences for multidimensional nonassociative plasticity. Zbl 0778.73023
Schaeffer, David G.; Shearer, Michael
1992
The quasidynamic approximation in critical state plasticity. Zbl 0688.73016
Shearer, Michael; Schaeffer, David G.
1989
Recent developments in nonstrictly hyperbolic conservation laws. Zbl 0625.76101
Shearer, Michael; Schaeffer, David G.
1987
An application of the Nash-Moser theorem to a free boundary problem. Zbl 0393.35066
Schaeffer, David G.
1978
On the existence of discrete frequencies of oscillation in a rotating fluid. Zbl 0335.76026
Schaeffer, David G.
1975
Fourier integral operators from the Radon transform point of view. Zbl 0313.46036
Guillemin, V.; Schaeffer, D.
1975
An application of von Neumann algebras to finite difference equations. Zbl 0248.35048
Schaeffer, David G.
1972
Approximation of the Dirichlet problem on a half space. Zbl 0246.65029
Schaeffer, David G.
1972
Constitutive relations for compressible granular flow in the inertial regime. Zbl 1419.76681
Schaeffer, D. G.; Barker, T.; Tsuji, D.; Gremaud, P.; Shearer, M.; Gray, J. M. N. T.
2019
Well-posed continuum equations for granular flow with compressibility and $$\mu(I)$$-rheology. Zbl 1404.76278
Barker, T.; Schaeffer, D. G.; Shearer, M.; Gray, J. M. N. T.
2017
Ordinary differential equations: basics and beyond. Zbl 1364.34003
Schaeffer, David G.; Cain, John W.
2016
Well-posed and ill-posed behaviour of the $$\mu(I)$$-rheology for granular flow. Zbl 1360.76338
Barker, T.; Schaeffer, D. G.; Bohorquez, P.; Gray, J. M. N. T.
2015
The onset of steady vortices in Taylor-Couette flow: the role of approximate symmetry. Zbl 1309.76045
Cliffe, K. A.; Mullin, T.; Schaeffer, D.
2012
Dynamics of Hepatitis B virus infection: what causes viral clearance? Zbl 1215.92027
Ciupe, Stanca M.; Catllá, Anne J.; Forde, Jonathan; Schaeffer, David G.
2011
On spiking models for synaptic activity and impulsive differential equations. Zbl 1166.34004
Catllá, Anne J.; Schaeffer, David G.; Witelski, Thomas P.; Monson, Eric E.; Lin, Anna L.
2008
Electrical waves in a one-dimensional model of cardiac tissue. Zbl 1167.34364
Beck, Margaret; Jones, Christopher K. R. T.; Schaeffer, David; Wechselberger, Martin
2008
Steady and intermittent slipping in a model of landslide motion regulated by pore-pressure feedback. Zbl 1165.74033
Schaeffer, David G.; Iverson, Richard M.
2008
Shortening of cardiac action potential duration near an insulating boundary. Zbl 1146.92311
Cain, John W.; Schaeffer, David G.
2008
Asymptotic approximation of an ionic model for cardiac restitution. Zbl 1169.92014
Schaeffer, David G.; Ying, Wenjun; Zhao, Xiaopeng
2008
Spectrum of a linearized amplitude equation for alternans in a cardiac fiber. Zbl 1218.34021
Dai, Shu; Schaeffer, David G.
2008
Alternate pacing of border-collision period-doubling bifurcations. Zbl 1193.70035
Zhao, Xiaopeng; Schaeffer, David G.
2007
An ionically based mapping model with memory for cardiac restitution. Zbl 1139.92309
Schaeffer, David G.; Cain, John W.; Gauthier, Daniel J.; Kalb, Soma S.; Oliver, Robert A.; Tolkacheva, Elena G.; Ying, Wenjun; Krassowska, Wanda
2007
Small-signal amplification of period-doubling bifurcations in smooth iterated maps. Zbl 1180.70038
Zhao, Xiaopeng; Schaeffer, David G.; Berger, Carolyn M.; Gauthier, Daniel J.
2007
Boundary value problems for hyperbolic equations related to steady granular flow. Zbl 1138.74015
Schaeffer, David G.; Shearer, Michael; Witelski, Thomas P.
2007
Two-term asymptotic approximation of a cardiac restitution curve. Zbl 1106.92030
Cain, John W.; Schaeffer, David G.
2006
Restitution in mapping models with an arbitrary amount of memory. Zbl 1080.92508
Kalb, Soma S.; Tolkacheva, Elena G.; Schaeffer, David G.; Gauthier, Daniel J.; Krassowska, Wanda
2005
A two-current model for the dynamics of cardiac membrane. Zbl 1334.92097
Mitchell, Colleen C.; Schaeffer, David G.
2003
Stability of shear bands in an elastoplastic model for granular flow: The role of discreteness. Zbl 1095.74009
Shearer, Michael; Schaeffer, David G.; Witelski, Thomas P.
2003
Secondary circulation in granular flow through nonaxisymmetric hoppers. Zbl 1126.76380
Gremaud, Pierre A.; Matthews, John V.; Schaeffer, David G.
2003
Analysis of the Fenton-Karma model through an approximation by a one-dimensional map. Zbl 1080.92509
Tolkacheva, E. G.; Schaeffer, D. G.; Gauthier, D. J.; Mitchell, C. C.
2002
A discrete model for an ill-posed nonlinear parabolic PDE. Zbl 0989.65111
Witelski, Thomas P.; Schaeffer, David G.; Shearer, Michael
2001
Numerical determination of flow corrective inserts for granular materials in conical hoppers. Zbl 1068.76561
Gremaud, Pierre Alain; Schaeffer, David G.; Shearer, Michael
2000
Lithotripsy: The treatment of kidney stones with shock waves. Zbl 0916.76100
Howle, Laurens; Schaeffer, David G.; Shearer, Michael; Zhong, Pei
1998
The influence of material non-uniformity preceding shear-band formation in a model for granular flow. Zbl 0895.73021
Schaeffer, David G.; Shearer, Michael
1997
Plane shear waves in a fully saturated granular medium with velocity and stress controlled boundary conditions. Zbl 0890.73017
Gordon, Michael S.; Shearer, Michael; Schaeffer, David
1997
Fully nonlinear hyperbolic systems of partial differential equations related to plasticity. Zbl 0837.35033
Shearer, Michael; Schaeffer, David G.
1995
A class of fully nonlinear $$2 \times 2$$ systems of partial differential equations. Zbl 0837.35032
Shearer, Michael; Schaeffer, David G.
1995
Shearer, Michael; Schaeffer, David G.
1994
Numerical simulation of uniaxial compression of a granular material with wall friction. Zbl 0817.76040
Gardner, Carl L.; Schaeffer, David G.
1994
Numerical computations for shear bands in an antiplane shear model. Zbl 0792.73032
Garaizar, F. Xabier; Schaeffer, David G.
1994
Nonstrictly hyperbolic conservation laws with a parabolic line. Zbl 0809.35056
Schaeffer, David G.; Schecter, Stephen; Shearer, Michael
1993
The initial value problem for a system modelling unidirectional longitudinal elastic-plastic waves. Zbl 0782.73028
Shearer, Michael; Schaeffer, David G.
1993
Unloading near a shear band: A free boundary problem for the wave equation. Zbl 0802.35169
Schaeffer, David G.; Shearer, Michael
1993
A mathematical model for localization in granular flow. Zbl 0775.73095
Schaeffer, David G.
1992
The flutter instability in granular flow. Zbl 0761.73052
An, Lianjun; Schaeffer, David G.
1992
Scale-invariant initial value problems in one-dimensional dynamic elastoplasticity, with consequences for multidimensional nonassociative plasticity. Zbl 0778.73023
Schaeffer, David G.; Shearer, Michael
1992
Instability and ill-posedness in the deformation of granular materials. Zbl 0727.73026
Schaeffer, David G.
1990
Instability in critical state theories of granular flow. Zbl 0686.73038
Schaeffer, David G.; Shearer, Michael; Pitman, E. Bruce
1990
Mathematical issues in the continuum formulation of slow granular flow. Zbl 0737.73074
Schaeffer, David G.
1990
Instability and ill-posedness in granular flow. Zbl 0683.73013
Pitman, E. Bruce; Schaeffer, David G.
1989
The quasidynamic approximation in critical state plasticity. Zbl 0688.73016
Shearer, Michael; Schaeffer, David G.
1989
Singularities and groups in bifurcation theory. Volume II. Zbl 0691.58003
Golubitsky, Martin; Stewart, Ian; Schaeffer, David G.
1988
Ill-posedness in three-dimensional plastic flow. Zbl 0644.73037
Schaeffer, David G.; Pitman, E. Bruce
1988
Nonlinear behavior of model equations which are linearly ill-posed. Zbl 0679.35082
Beale, J. Thomas; Schaeffer, David G.
1988
The classification of 2$$\times 2$$ systems of non-strictly hyperbolic conservation laws, with application to oil recovery. Zbl 0673.35073
Schaeffer, David G.; Shearer, Michael
1987
Instability in the evolution equations describing incompressible granular flow. Zbl 0647.35037
Schaeffer, David G.
1987
Solution of the Riemann problem for a prototype 2$$\times 2$$ system of non-strictly hyperbolic conservation laws. Zbl 0673.35072
Shearer, M.; Schaeffer, D. G.; Marchesin, D.; Paes-Leme, P. L.
1987
Riemann problems for nonstrictly hyperbolic 2$$\times 2$$ systems of conservation laws. Zbl 0656.35081
Schaeffer, David G.; Shearer, Michael
1987
Stability of time dependent compressible granular flow in two dimensions. Zbl 0676.76046
Pitman, E. Bruce; Schaeffer, David G.
1987
Recent developments in nonstrictly hyperbolic conservation laws. Zbl 0625.76101
Shearer, Michael; Schaeffer, David G.
1987
Singularities and groups in bifurcation theory. Volume I. Zbl 0607.35004
Golubitsky, Martin; Schaeffer, David G.
1985
Bifurcation problems with hidden symmetries. Zbl 0567.58004
Golubitsky, M.; Marsden, J.; Schaeffer, D.
1984
Boundary conditions and mode jumping in the von Kármán equations. Zbl 0542.73057
Holder, E. J.; Schaeffer, D.
1984
Bifurcation and stability of homogeneous equilibrium configurations of an elastic body under dead-load tractions. Zbl 0568.73057
Ball, J. M.; Schaeffer, D. G.
1983
A discussion of symmetry and symmetry breaking. Zbl 0535.58010
Golubitsky, Martin; Schaeffer, David
1983
Bifurcations with O(3) symmetry including applications to the Benard problem. Zbl 0492.58012
Golubitsky, Martin; Schaeffer, David
1982
Bifurcation analysis near a double eigenvalue of a model chemical reaction. Zbl 0522.35010
Schaeffer, David G.; Golubitsky, Martin A.
1981
A singularity theory analysis of a thermal-chainbranching model for the explosion peninsula. Zbl 0497.58006
Golubitsky, Martin; Keyfitz, Barbara Lee; Schaeffer, David G.
1981
Qualitative analysis of a model for boundary effects in the Taylor problem. Zbl 0461.76016
Schaeffer, David G.
1980
A theory for imperfect bifurcation via singularity theory. Zbl 0409.58007
Golubitsky, M.; Schaeffer, D.
1979
Imperfect bifurcation in the presence of symmetry. Zbl 0467.58019
Golubitsky, M.; Schaeffer, D.
1979
Boundary conditions and mode jumping in the buckling of a rectangular plate. Zbl 0414.73036
Schaeffer, David; Golubitsky, Martin
1979
An analysis of imperfect bifurcation. Zbl 0467.58018
Golubitsky, M.; Schaeffer, D.
1979
An application of the Nash-Moser theorem to a free boundary problem. Zbl 0393.35066
Schaeffer, David G.
1978
Non-uniqueness in the equilibrium shape of a confined plasma. Zbl 0371.35017
Schaeffer, David G.
1977
Some examples of singularities in a free boundary. Zbl 0354.35033
Schaeffer, David G.
1977
On a certain class of Fuchsian partial differential equations. Zbl 0356.35080
Guillemin, Victor; Schaeffer, David
1977
One-sided estimates for the curvature of the free boundary in the obstacle problem. Zbl 0354.35075
Schaeffer, David G.
1977
Supersonic flow past a nearly straight wedge. Zbl 0356.76046
Schaeffer, David G.
1976
A new proof of the infinite differentiability of the free boundary in the Stefan problem. Zbl 0314.35044
Schaeffer, David G.
1976
A stability theorem for the obstacle problem. Zbl 0317.49013
Schaeffer, David G.
1975
The capacitor problem. Zbl 0283.35068
Schaeffer, David G.
1975
Stability of shock waves for a single conservation law. Zbl 0295.35051
Golubitsky, Martin; Schaeffer, David G.
1975
On the existence of discrete frequencies of oscillation in a rotating fluid. Zbl 0335.76026
Schaeffer, David G.
1975
Fourier integral operators from the Radon transform point of view. Zbl 0313.46036
Guillemin, V.; Schaeffer, D.
1975
An example of generic regularity for a non-linear elliptic equation. Zbl 0319.35036
Schaeffer, David G.
1974
A regularity theorem for conservation laws. Zbl 0267.35009
Schaeffer, David G.
1973
Remarks on a paper of D. Ludwig. Zbl 0256.35008
Guillemin, V.; Schaeffer, D.
1973
An index theorem for systems of difference operators on a half space. Zbl 0274.47020
Schaeffer, David G.
1972
An application of von Neumann algebras to finite difference equations. Zbl 0248.35048
Schaeffer, David G.
1972
Approximation of the Dirichlet problem on a half space. Zbl 0246.65029
Schaeffer, David G.
1972
$$C^*$$-algebras of operators on a half-space. II: Index theory. Zbl 0241.47027
Coburn, Lewis A.; Douglas, R. G.; Schaeffer, D. G.; Singer, I. M.
1971
An extension of Hartogs’ theorem for domains whose boundary is not smooth. Zbl 0202.07502
Schaeffer, D. G.
1970
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#### Cited by 2,071 Authors

 37 Stewart, Ian Nicholas 31 Golubitsky, Martin A. 28 Schaeffer, David G. 23 Guo, Shangjiang 19 Shearer, Michael 16 Ikeda, Kiyohiro 16 Lamb, Jeroen S. W. 15 Ashwin, Peter 15 Knobloch, Edgar 15 Krawcewicz, Wieslaw Z. 14 Chossat, Pascal 13 Buono, Pietro-Luciano 13 Chen, Yushu 13 Gaeta, Giuseppe 13 Marchesin, Dan 13 Melbourne, Ian 12 Zhang, Chunrui 11 Gray, John Mark Nicholas Timm 11 Healey, Timothy J. 11 Wu, Jianhong 10 Balanov, Zalman I. 10 Bridges, Thomas J. 10 Chien, Cheng-Sheng 9 Chen, Gui-Qiang G. 9 Dangelmayr, Gerhard 9 Dias, Ana Paula S. 9 Lauterbach, Reiner 9 Manoel, Miriam 9 Roberts, Richard Mark 8 Aston, Philip J. 8 Atanackovic, Teodor M. 8 Dellnitz, Michael 8 Labouriau, Isabel S. 8 Mei, Zhen 8 Xia, Jingbo 8 Zheng, Baodong 7 Bendahmane, Mostafa 7 Friedman, Avner 7 Furter, Jacques-Elie 7 Holmes, Philip J. 7 Janovský, Vladimír 7 Silber, Mary 7 Witelski, Thomas P. 7 Yang, Zhonghua 6 Baptistelli, Patrícia H. 6 Barker, Thomas B. 6 Broer, Henk W. 6 Chen, Shuxing 6 Cliffe, K. Andrew 6 Field, Michael J. 6 Freistühler, Heinrich 6 Gatermann, Karin 6 Janeczko, Stanisław 6 Kevrekidis, Panayotis G. 6 Kielhöfer, Hansjörg 6 Krupa, Martin 6 Sanders, Jan A. 6 Schecter, Stephen 6 Vianello, Maurizio 6 Wan, Yieh-Hei 6 Yin, Huicheng 6 Zumbrun, Kevin R. 5 Böhmer, Klaus 5 Chamakuri, Nagaiah 5 Chillingworth, D. R. J. 5 Crawford, John David 5 Douglas, Ronald George 5 García-Azpeitia, Carlos 5 Gervais, Jean-Jacques 5 Grinfeld, Michael 5 Johnson, Christopher G. 5 Keyfitz, Barbara Lee 5 Kolev, Boris 5 Maier-Paape, Stanislaus 5 Marques, Francisco 5 Marsden, Jerrold Eldon 5 Motta, Monica 5 Okamoto, Hisashi 5 Palacios, Antonio 5 Podvigina, Ol’ga Mikhaĭlovna 5 Rampazzo, Franco 5 Song, Yongli 5 Takayama, Yuki 5 Tang, Tao 5 Wang, Jinghua 5 Wu, Baisheng 5 Zemzemi, Nejib 4 Abshagen, J. 4 Aguiar, Manuela A. D. 4 Alam, Meheboob 4 Antman, Stuart S. 4 Auffray, Nicolas 4 Azevedo, Arthur V. 4 Blyuss, Konstantin B. 4 Borges Palmeira, Carlos Frederico 4 Čanić, Sunčica 4 Castro, Sofia B. S. D. 4 Champneys, Alan R. 4 Chang, Shing-Lin 4 Chen, Yichao ...and 1,971 more Authors
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#### Cited in 283 Serials

 135 Physica D 80 Journal of Differential Equations 49 Journal of Fluid Mechanics 43 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 42 Archive for Rational Mechanics and Analysis 37 Nonlinear Analysis. Theory, Methods & Applications 33 Journal of Mathematical Analysis and Applications 32 Journal of Nonlinear Science 24 Journal of Computational Physics 24 Chaos, Solitons and Fractals 24 Journal of Dynamics and Differential Equations 23 ZAMP. Zeitschrift für angewandte Mathematik und Physik 23 Nonlinear Dynamics 22 Journal of Elasticity 21 Computer Methods in Applied Mechanics and Engineering 21 Journal of Computational and Applied Mathematics 19 Transactions of the American Mathematical Society 18 Applied Mathematics and Mechanics. (English Edition) 18 Dynamics and Stability of Systems 18 Nonlinear Analysis. Real World Applications 17 Applied Mathematics and Computation 17 SIAM Journal on Applied Dynamical Systems 16 Acta Mechanica 16 Journal of Mathematical Biology 16 Mathematical Proceedings of the Cambridge Philosophical Society 16 Mathematical and Computer Modelling 14 Journal of the Mechanics and Physics of Solids 13 Applied Mathematics Letters 13 Chaos 12 Mathematical Methods in the Applied Sciences 12 Journal of Functional Analysis 11 International Journal of Engineering Science 11 Bulletin of Mathematical Biology 11 Advances in Mathematics 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 11 Physics of Fluids 11 Mathematics and Mechanics of Solids 10 Mathematical Biosciences 10 Communications in Partial Differential Equations 9 Communications in Mathematical Physics 9 Journal of Engineering Mathematics 9 Journal of Statistical Physics 9 Physics Letters. A 9 SIAM Journal on Mathematical Analysis 9 Bulletin of the American Mathematical Society. New Series 9 Journal of Hyperbolic Differential Equations 8 Computers & Mathematics with Applications 8 Computing 8 Communications in Nonlinear Science and Numerical Simulation 7 Integral Equations and Operator Theory 7 Mathematische Annalen 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Linear Algebra and its Applications 7 Discrete and Continuous Dynamical Systems 7 Abstract and Applied Analysis 7 Journal of Theoretical Biology 6 Computers and Fluids 6 Journal of Mathematical Physics 6 Theoretical and Computational Fluid Dynamics 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Mathematics and Computers in Simulation 6 Quarterly of Applied Mathematics 6 Acta Applicandae Mathematicae 6 Applied Mathematical Modelling 5 Nonlinearity 5 Applied Mathematics and Optimization 5 Manuscripta Mathematica 5 Numerische Mathematik 5 Studies in Applied Mathematics 5 Journal of Economic Dynamics & Control 5 Continuum Mechanics and Thermodynamics 5 Journal of Difference Equations and Applications 5 Bulletin of the Brazilian Mathematical Society. New Series 4 Applicable Analysis 4 Letters in Mathematical Physics 4 Rocky Mountain Journal of Mathematics 4 Wave Motion 4 Mathematics of Computation 4 Acta Mathematica 4 Automatica 4 Journal of Pure and Applied Algebra 4 Journal of Soviet Mathematics 4 Meccanica 4 Advances in Applied Mathematics 4 Japan Journal of Applied Mathematics 4 Journal of Scientific Computing 4 Mathematical Programming. Series A. Series B 4 European Journal of Mechanics. A. Solids 4 Acta Mathematica Sinica. English Series 4 Dynamical Systems 4 Bulletin of the American Mathematical Society 4 Science China. Mathematics 3 Biological Cybernetics 3 Communications on Pure and Applied Mathematics 3 International Journal of Solids and Structures 3 International Journal of Theoretical Physics 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) ...and 183 more Serials
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#### Cited in 55 Fields

 513 Partial differential equations (35-XX) 402 Dynamical systems and ergodic theory (37-XX) 331 Ordinary differential equations (34-XX) 310 Fluid mechanics (76-XX) 218 Mechanics of deformable solids (74-XX) 208 Biology and other natural sciences (92-XX) 137 Global analysis, analysis on manifolds (58-XX) 130 Numerical analysis (65-XX) 90 Operator theory (47-XX) 57 Mechanics of particles and systems (70-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 41 Systems theory; control (93-XX) 38 Functional analysis (46-XX) 33 Statistical mechanics, structure of matter (82-XX) 25 Operations research, mathematical programming (90-XX) 24 Classical thermodynamics, heat transfer (80-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Computer science (68-XX) 19 Differential geometry (53-XX) 19 Optics, electromagnetic theory (78-XX) 18 Topological groups, Lie groups (22-XX) 18 Quantum theory (81-XX) 14 Group theory and generalizations (20-XX) 14 Manifolds and cell complexes (57-XX) 13 Commutative algebra (13-XX) 13 Probability theory and stochastic processes (60-XX) 12 Difference and functional equations (39-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 9 Geophysics (86-XX) 8 Functions of a complex variable (30-XX) 8 Potential theory (31-XX) 8 Abstract harmonic analysis (43-XX) 7 History and biography (01-XX) 7 Algebraic geometry (14-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Integral equations (45-XX) 6 Combinatorics (05-XX) 6 Information and communication theory, circuits (94-XX) 4 Real functions (26-XX) 4 Relativity and gravitational theory (83-XX) 3 General and overarching topics; collections (00-XX) 3 $$K$$-theory (19-XX) 3 Statistics (62-XX) 2 Nonassociative rings and algebras (17-XX) 2 Convex and discrete geometry (52-XX) 2 Algebraic topology (55-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX)