David G. Schaeffer

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All published works

Action	Title	Year	Authors
+ PDF Chat	Well-posed continuum equations for granular flow with compressibility and <i>μ</i> ( <i>I</i> )-rheology	2017	T. Barker David G. Schaeffer Michael Shearer J. M. N. T. Gray
+	DOMAINS WHOSE BOUNDARY IS NOT SMOOTH	2016	David G. Schaeffer
+	Ordinary Differential Equations: Basics and Beyond	2016	David G. Schaeffer John W. Cain
+	Nonlinear Systems: Global Theory	2016	David G. Schaeffer John W. Cain
+	Examples of Global Bifurcation	2016	David G. Schaeffer John W. Cain
+	Nonlinear Systems: Local Theory	2016	David G. Schaeffer John W. Cain
+	Bifurcation from Equilibria	2016	David G. Schaeffer John W. Cain
+	Trajectories Near Equilibria	2016	David G. Schaeffer John W. Cain
+	Oscillations in ODEs	2016	David G. Schaeffer John W. Cain
+	Epilogue	2016	David G. Schaeffer John W. Cain
+	A Thin Cantilever Beam in a Flow	2011	Yossi Farjoun David G. Schaeffer Theodore E. Simos George Psihoyios Ch. Tsitouras Zacharias Anastassi
+	The hanging thin rod: A singularly perturbed eigenvalue problem	2010	Yossi Farjoun David G. Schaeffer
+ PDF Chat	Cardiac Alternans Arising From an Unfolded Border-Collision Bifurcation	2008	Xiaopeng Zhao David G. Schaeffer Carolyn Berger Wanda Krassowska Daniel J. Gauthier
+	Cardiac Alternans Arising from an Unfolded Border-Collision Bifurcation	2007	Xiaopeng Zhao David G. Schaeffer Carolyn Berger Wanda Krassowska Daniel J. Gauthier
+	Alternate Pacing of Border-Collision Period-Doubling Bifurcations	2006	Xiaopeng Zhao David G. Schaeffer
+	Small-Signal Amplification of Period-Doubling Bifurcations in Smooth Iterated Maps	2006	Xiaopeng Zhao David G. Schaeffer Carolyn Berger Daniel J. Gauthier
+ PDF Chat	Force distributions in a triangular lattice of rigid bars	2005	Brian P. Tighe Joshua E. S. Socolar David G. Schaeffer W. Garrett Mitchener Mark Huber
+ PDF Chat	Rate-dependent propagation of cardiac action potentials in a one-dimensional fiber	2004	John W. Cain Elena G. Tolkacheva David G. Schaeffer Daniel J. Gauthier
+	A Well-Posed Free Boundary Value Problem for a Hyperbolic Equation with Dirichlet Boundary Conditions	2004	John Matthews David G. Schaeffer
+	An ionically based mapping model with memory for cardiac restitution	2004	David G. Schaeffer John W. Cain Daniel J. Gauthier Soma S. Kalb Wanda Krassowska Robert A. Oliver Elena G. Tolkacheva
+	Reviews	2003	Gerald B. Folland David G. Schaeffer Jeffrey Nunemacher
+ PDF Chat	Directed force chain networks and stress response in static granular materials	2002	Joshua E. S. Socolar David G. Schaeffer Philippe Claudin
+ PDF Chat	A Discrete Model for an Ill-Posed Nonlinear Parabolic PDE	2001	Thomas P. Witelski David G. Schaeffer Michael Shearer
+	Stress-controlled shear waves in a saturated granular medium	2000	Brian T. Hayes David G. Schaeffer
+ PDF Chat	Force distribution in a scalar model for noncohesive granular material	1999	Matthew G. Sexton Joshua E. S. Socolar David G. Schaeffer
+	Riemann Problems for 5×5 Systems of Fully Non-linear Equations Related to Hypoplasticity	1996	Michael Shearer David G. Schaeffer
+	Riemann Problems for 5Ã5 Systems of Fully Nonâlinear Equations Related to Hypoplasticity	1996	Michael Shearer David G. Schaeffer
+	Fully nonlinear hyperbolic systems of partial differential equations related to plasticity	1995	Michael Shearer David G. Schaeffer
+	A class of fully nonlinear 2×2 systems of partial differential equations	1995	Michael Shearer David G. Schaeffer
+ PDF Chat	Unloading near a shear band in granular material	1994	Michael Shearer David G. Schaeffer
+	The Initial Value Problem for a System Modelling Unidirectional Longitudinal Elastic-Plastic Waves	1993	Michael Shearer David G. Schaeffer
+	Nonstrictly Hyperbolic Conservation Laws with a Parabolic Line	1993	David G. Schaeffer Stephen Schecter Michael Shearer
+	Unloading near a shear band: a free boundary problem for the wave equation	1993	David G. Schaeffer Michael Shearer
+	Scale-invariant initial value problems in one-dimensional dynamic elastoplasticity, with consequences for multidimensional nonassociative plasticity	1992	David G. Schaeffer Michael Shearer
+	Group-Theoretic Preliminaries	1988	Martin Golubitsky Ian Stewart David G. Schaeffer
+	Singularities and Groups in Bifurcation Theory	1988	Martin Golubitsky Ian Stewart David G. Schaeffer
+	Equivariant Unfolding Theory	1988	Martin Golubitsky Ian Stewart David G. Schaeffer
+	Symmetry-Breaking in Hopf Bifurcation	1988	Martin Golubitsky Ian Stewart David G. Schaeffer
+	Hopf Bifurcation with O(2) Symmetry	1988	Martin Golubitsky Ian Stewart David G. Schaeffer
+	Equivariant Normal Forms	1988	Martin Golubitsky Ian Stewart David G. Schaeffer
+	Introduction	1988	Martin Golubitsky Ian Stewart David G. Schaeffer
+	Riemann Problems for Nonstrictly Hyperbolic 2 × 2 Systems of Conservation Laws	1987	David G. Schaeffer Michael Shearer
+	The classification of 2 × 2 systems of non‐strictly hyperbolic conservation laws, with application to oil recovery	1987	David G. Schaeffer Michael Shearer
+	Solution of the riemann problem for a prototype 2�2 system of non-strictly hyperbolic conservation laws	1987	Michael Shearer David G. Schaeffer D. Marchesin P. L. Paes-Leme
+ PDF Chat	Riemann problems for nonstrictly hyperbolic 2×2 systems of conservation laws	1987	David G. Schaeffer Michael Shearer
+	Singularities and Groups in Bifurcation Theory: Volume I	1985	David G. Schaeffer Martin Golubitsky
+	A Brief Introduction to the Central Ideas of the Theory	1985	Martin Golubitsky David G. Schaeffer
+	An Example of Moduli	1985	Martin Golubitsky David G. Schaeffer
+	Topics in Bifurcation Theory	1983	David G. Schaeffer
+	Topics in Bifurcation Theory	1983	David G. Schaeffer
+	An application of the Nash-moser theorem to a free boundary problem	1978	David G. Schaeffer
+	One-Sided estimates for the curvature of the free boundary in the obstacle problem	1977	David G. Schaeffer
+	Non-uniqueness in the equilibrium shape of a confined plasma<sup>†</sup>	1977	David G. Schaeffer
+	Some examples of singularities in a free boundary	1977	David G. Schaeffer
+	A new proof of the infinite differentiability of the free boundary in the Stefan problem	1976	David G. Schaeffer
+	Stability of shock waves for a single conservation law	1975	Martin Golubitsky David G. Schaeffer
+	Singularities and the obstacle problem	1975	David G. Schaeffer
+	An example of generic regularity for a non-linear elliptic equation	1974	David G. Schaeffer
+	A regularity theorem for conservation laws	1973	David G. Schaeffer
+ PDF Chat	An index theorem for systems of difference operators on a half space	1973	David G. Schaeffer
+ PDF Chat	Approximation of the Dirichlet problem on a half space	1972	David G. Schaeffer
+	An Application of von Neumann Algebras to Finite Difference Equations	1972	David G. Schaeffer
+	Fibrations in etale homotopy theory . Dimension projective finie et cohomologie locale . An index theorem for systems of difference operators on a half space . On the structure of non-excellent curve singularities in characteristic p . Canonical models of surfaces of general type	1972	Eric M. Friedlander Christian Peskine Lucien Szpiro David G. Schaeffer Bruce M. Bennett Enrico Bombieri
+	C*-algebras of operators on a half-space II: Index theory	1971	L. A. Coburn Ronald G. Douglas David G. Schaeffer Isadore Manuel Singer
+	Wiener-Hopf factorization of the symbol of an elliptic difference operator	1970	David G. Schaeffer
+ PDF Chat	An extension of Hartogs’ theorem for domains whose boundary is not smooth	1970	David G. Schaeffer
+	The dirichlet problem with generalized functions as data	1969	David G. Schaeffer
+ PDF Chat	A Note on the Representation of a Solution of an Elliptic Differential Equation Near an Isolated Singularity	1969	David G. Schaeffer
+ PDF Chat	A note on the representation of a solution of an elliptic differential equation near an isolated singularity	1969	David G. Schaeffer

Common Coauthors

Coauthor	Papers Together
Michael Shearer	15
Martin Golubitsky	11
John W. Cain	10
Ian Stewart	7
Daniel J. Gauthier	5
Xiaopeng Zhao	4
Wanda Krassowska	3
Joshua E. S. Socolar	3
Carolyn Berger	3
Elena G. Tolkacheva	2
Yossi Farjoun	2
Soma S. Kalb	1
George Psihoyios	1
Thomas P. Witelski	1
Enrico Bombieri	1
Christian Peskine	1
Brian T. Hayes	1
Stephen Schecter	1
T. Barker	1
Brian P. Tighe	1
Theodore E. Simos	1
Bruce M. Bennett	1
Jeffrey Nunemacher	1
Zacharias Anastassi	1
P. L. Paes-Leme	1
John Matthews	1
J. M. N. T. Gray	1
Ronald G. Douglas	1
Matthew G. Sexton	1
Isadore Manuel Singer	1
Mark Huber	1
Ch. Tsitouras	1
Philippe Claudin	1
Gerald B. Folland	1
Robert A. Oliver	1
L. A. Coburn	1
Eric M. Friedlander	1
D. Marchesin	1
Lucien Szpiro	1
W. Garrett Mitchener	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Hyperbolic systems of conservation laws II	1957	Peter D. Lax	11
+	Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields	1983	John Guckenheimer Philip Holmes	6
+	Singularities and Groups in Bifurcation Theory	1988	Martin Golubitsky Ian Stewart David G. Schaeffer	4
+ PDF Chat	Differential Equations and Their Applications	1993	Martin Braun	3
+	Partial differential equations	1985	ThomasL. Satty	3
+	Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I	1959	Shmuel Agmon Avron Douglis Louis Nirenberg	3
+	Solution of the Riemann problem for a class of hyperbolic systems of conservation laws by the viscosity method	1973	Constantine M. Dafermos	3
+	C*-algebras of operators on a half-space I	1971	L. A. Coburn R. G. Douglas	3
+	Partial Differential Equations	1982	Fritz John	3
+	Fredholm theories in von Neumann algebras. I	1968	M. Breuer	3
+	Refinement of the Functional Calculus of Calderon and Zygmund	1965	R. Seeley	3
+ PDF Chat	Differential Equations and Their Applications: An Introduction to Applied Mathematics	1977	David L. Farnsworth Martin Braun	2
+ PDF Chat	Model for force fluctuations in bead packs	1996	S. N. Coppersmith C. -h. Liu Satya N. Majumdar Onuttom Narayan Thomas A. Witten	2
+	A class of fully nonlinear 2×2 systems of partial differential equations	1995	Michael Shearer David G. Schaeffer	2
+	The classification of 2 × 2 systems of non‐strictly hyperbolic conservation laws, with application to oil recovery	1987	David G. Schaeffer Michael Shearer	2
+	On the nature of turbulence	1971	David Ruelle Floris Takens	2
+	Stable mappings and their singularities	1973	Martin Golubitsky Victor Guillemin	2
+	Classical Methods in Ordinary Differential Equations: With Applications to Boundary Value Problems	2011	S. P. Hastings J. B. McLeod	2
+ PDF Chat	Problèmes aux limites non homogènes (VII)	1963	J. L. Lions Enrico Magenes	2
+	Bifurcation from simple eigenvalues	1971	Michael G. Crandall Paul H. Rabinowitz	2
+	Stable Mappings and Their Singularities	1973	Martin Golubitsky Victor Guillemin	2
+	Ideals of differentiable functions	1966	Bernard Malgrange	2
+ PDF Chat	General boundary value problems for elliptic partial differential equations	1959	Martin Schechter	2
+ PDF Chat	On the nature of turbulence	1971	David Ruelle Floris Takens	2
+ PDF Chat	Average stresses and force fluctuations in noncohesive granular materials	1998	Joshua E. S. Socolar	2
+	Introduction to Complex Analysis in Several Variables	2005	Volker Scheidemann	2
+	Sur les espaces de solutions d’une classe générale d’équations aux dérivées partielles	1952	Alexandre Grothendieck	2
+	A theory for imperfect bifurcation via singularity theory	1979	Martin Golubitsky David J. Schaeffer	2
+	Loss of stability and bifurcation at a double eigenvalue	1973	J. B. McLeod D. H. Sattinger	2
+	Solution of the riemann problem for a prototype 2�2 system of non-strictly hyperbolic conservation laws	1987	Michael Shearer David G. Schaeffer D. Marchesin P. L. Paes-Leme	2
+	Applications of generic bifurcation. II	1976	Shui-Nee Chow Jack K. Hale John Mallet‐Paret	2
+	Fully nonlinear hyperbolic systems of partial differential equations related to plasticity	1995	Michael Shearer David G. Schaeffer	2
+ PDF Chat	The Riemann problem for general 2×2 conservation laws	1974	Tai Ping Liu	2
+ PDF Chat	Force distributions in three-dimensional granular assemblies: Effects of packing order and interparticle friction	2001	Daniel L. Blair Nathan W. Mueggenburg Adam H. Marshall Heinrich M. Jaeger Sidney R. Nagel	1
+ PDF Chat	Introduction to Perturbation Methods	2012	Mark H. Holmes	1
+	Evidence for an unfolded border-collision bifurcation in paced cardiac tissue	2006	Carolyn Berger	1
+	Topology of manifolds	1949	R. L. Wilder	1
+	Methods of Bifurcation Theory	1982	Shui-Nee Chow Jack K. Hale	1
+	Les hyperfonctions de M. Sato	1961	André Martineau	1
+	On dense granular flows	2004	Gdr Midi	1
+	Double Centralizers and Extensions of C ∗ -Algebras	1968	Robert C. Busby	1
+	A system of non-strictly hyperbolic conservation laws arising in elasticity theory	1980	Barbara Lee Keyfitz Herbert C. Kranzer	1
+	Problèmes aux limites non homogènes et applications	1968	Enrico Magenes Jacques Louis Lions	1
+	Introduction to Partial Differential Equations	2004	Alexander Stanoyevitch	1
+	Delay Differential Equations	2010	Yurii N. Grigoriev Nail H. Ibragimov V. F. Kovalev Sergey V. Meleshko	1
+	Short-wave instabilities and ill-posed initial-value problems	1990	Daniel D. Joseph Jean Claude Saut	1
+	On the Detection and Dynamical Consequences of Orbits Homoclinic to Hyperbolic Periodic Orbits and Normally Hyperbolic Invariant Tori in a Class of Ordinary Differential Equations	1988	Stephen Wiggins	1
+	Perturbed bifurcation theory	1973	James P. Keener Herbert B. Keller	1
+ PDF Chat	Almost Periodic Functions	1933	A. S. Besicovitch	1
+	Unloading near a shear band: a free boundary problem for the wave equation	1993	David G. Schaeffer Michael Shearer	1