David G. Schaeffer
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David G. Schaeffermathematics Degrees
Mathematics
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Differential Geometry
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Group Theory
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Algebraic Geometry
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Mathematics
David G. Schaeffer's Degrees
- PhD Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley
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(Suggest an Edit or Addition)David G. Schaeffer's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Singularities and groups in bifurcation theory (1985) (3126)
- Instability in the evolution equations describing incompressible granular flow (1987) (1046)
- A two-current model for the dynamics of cardiac membrane (2003) (350)
- A Theory for Imperfect Bifurcation via Singularity Theory. (1979) (295)
- The classification of 2 × 2 systems of non‐strictly hyperbolic conservation laws, with application to oil recovery (1987) (166)
- Imperfect bifurcation in the presence of symmetry (1979) (130)
- Well-posed and ill-posed behaviour of the ${\it\mu}(I)$ -rheology for granular flow (2015) (123)
- Solution of the riemann problem for a prototype 2×2 system of non-strictly hyperbolic conservation laws (1987) (119)
- Condition for alternans and stability of the 1:1 response pattern in a "memory" model of paced cardiac dynamics. (2003) (117)
- Boundary conditions and mode jumping in the buckling of a rectangular plate (1979) (116)
- A regularity theorem for conservation laws (1973) (105)
- Temporal control of self-organized pattern formation without morphogen gradients in bacteria (2013) (103)
- Forces on a slowly rotating, rough cylinder in a Couette device containing a dry, frictional powder (1998) (97)
- Qualitative analysis of a model for boundary effects in the Taylor problem (1980) (83)
- Well-posed continuum equations for granular flow with compressibility and μ(I)-rheology (2016) (72)
- The Hopf Bifurcation (1985) (71)
- Riemann problems for nonstrictly hyperbolic 2×2 systems of conservation laws (1987) (71)
- Bifurcation and stability of homogeneous equilibrium configurations of an elastic body under dead-load tractions (1983) (70)
- C*-algebras of operators on a half-space II: Index theory (1971) (69)
- Stability of time dependent compressible granular flow in two dimensions (1987) (69)
- Some examples of singularities in a free boundary (1977) (69)
- Instability and ill‐posedness in the deformation of granular materials (1990) (68)
- Supersonic flow past a nearly straight wedge (1976) (67)
- Bifurcation analysis near a double eigenvalue of a model chemical reaction (1981) (64)
- The Recognition Problem (1985) (64)
- Granular friction, Coulomb failure, and the fluid-solid transition for horizontally shaken granular materials. (2002) (58)
- On a certain class of Fuchsian partial differential equations (1977) (56)
- A new proof of the infinite differentiability of the free boundary in the Stefan problem (1976) (55)
- Two phase flows and waves (1990) (55)
- Well-posed and ill-posed behaviour of the µ ( I ) -rheology for granular flow (2015) (52)
- Bifurcations with O(3) symmetry including applications to the Bénard problem (1982) (48)
- A stability theorem for the obstacle problem (1975) (47)
- Principles that govern competition or co-existence in Rho-GTPase driven polarization (2017) (45)
- Analysis of the Fenton-Karma model through an approximation by a one-dimensional map. (2002) (42)
- An Ionically Based Mapping Model with Memory for Cardiac Restitution (2004) (40)
- Non-uniqueness in the equilibrium shape of a confined plasma † (1977) (39)
- Bifurcation problems with hidden symmetries (1984) (37)
- Constitutive relations for compressible granular flow in the inertial regime (2019) (37)
- On Spiking Models for Synaptic Activity and Impulsive Differential Equations (2008) (37)
- Force distributions in a triangular lattice of rigid bars. (2005) (36)
- A mathematical model for localization in granular flow (1992) (36)
- Directed force chain networks and stress response in static granular materials (2002) (35)
- A discrete model for an ill-posed nonlinear parabolic PDE (2001) (34)
- Period-doubling bifurcation to alternans in paced cardiac tissue: crossover from smooth to border-collision characteristics. (2007) (33)
- Steady and Intermittent Slipping in a Model of Landslide Motion Regulated by Pore-Pressure Feedback (2008) (33)
- Nonstrictly Hyperbolic Conservation Laws with a Parabolic Line (1993) (31)
- Boundary Conditions and Mode Jumping in the von Kármán Equations (1984) (30)
- Electrical Waves in a One-Dimensional Model of Cardiac Tissue (2008) (29)
- Restitution in mapping models with an arbitrary amount of memory. (2005) (28)
- The flutter instability in granular flow (1992) (28)
- Ordinary Differential Equations: Basics and Beyond (2016) (27)
- Ill‐posedness in three‐dimensional plastic flow (1988) (25)
- A singularity theory analysis of a thermal‐chainbranching model for the explosion peninsula (1981) (25)
- Rate-dependent propagation of cardiac action potentials in a one-dimensional fiber. (2004) (23)
- Dynamics of Hepatitis B Virus Infection: What Causes Viral Clearance? (2011) (18)
- Remarks on a paper of D. Ludwig (1973) (18)
- Two-Term Asymptotic Approximation of a Cardiac Restitution Curve (2006) (16)
- Alternate pacing of border-collision period-doubling bifurcations (2006) (16)
- One-Sided estimates for the curvature of the free boundary in the obstacle problem* (1977) (16)
- Force distribution in a scalar model for noncohesive granular material. (1998) (15)
- Stability of shock waves for a single conservation law (1975) (15)
- Instability in critical state theories of granular flow (1990) (15)
- Modeling mutant phenotypes and oscillatory dynamics in the Saccharomyces cerevisiae cAMP-PKA pathway (2013) (15)
- An example of generic regularity for a non-linear elliptic equation (1974) (14)
- A Brief Introduction to the Central Ideas of the Theory (1985) (14)
- Cardiac Alternans Arising From an Unfolded Border-Collision Bifurcation (2007) (14)
- Lithotripsy: The Treatment of Kidney Stones with Shock Waves (1998) (13)
- Mathematical Medicine and Biology (2008) (13)
- The onset of steady vortices in Taylor-Couette flow: The role of approximate symmetry (2012) (13)
- Mathematical issues in the continuum formulation of slow granular flow (1990) (12)
- Numerical Simulation of Uniaxial Compression of a Granular Material with Wall Friction (1994) (12)
- On the computation of steady hopper flows III: Model comparisons (2006) (12)
- Numerical computations for shear bands in an antiplane shear model (1994) (12)
- Shortening of cardiac action potential duration near an insulating boundary. (2008) (12)
- Small-signal amplification of period-doubling bifurcations in smooth iterated maps (2006) (12)
- Scale-invariant initial value problems in one-dimensional dynamic elastoplasticity, with consequences for multidimensional nonassociative plasticity (1992) (11)
- Nonlinear behavior of model equations which are linearly ill-posed (1988) (11)
- Hopf Bifurcation with O(2) Symmetry (1988) (11)
- Chaos for cardiac arrhythmias through a one-dimensional modulation equation for alternans. (2010) (10)
- Secondary Circulation in Granular Flow Through Nonaxisymmetric Hoppers (2004) (10)
- AN ANALYSIS OF IMPERFECT BIFURCATION * (1979) (9)
- Numerical determination of flow corrective inserts for granular materials in conical hoppers (2000) (9)
- Unloading near a shear band in granular material (1994) (8)
- Asymptotic approximation of an ionic model for cardiac restitution (2007) (8)
- Plane shear waves in a fully saturated granular medium with velocity and stress controlled boundary conditions (1997) (8)
- Plane shear waves under a periodic boundary disturbance in a saturated granular medium (1998) (7)
- Unloading near a shear band: a free boundary problem for the wave equation (1993) (7)
- Spectrum of a Linearized Amplitude Equation for Alternans in a Cardiac Fiber (2008) (7)
- Steady-state computations of granular flow in an axisymmetric hopper (1992) (7)
- An application of the Nash-moser theorem to a free boundary problem (1978) (6)
- The influence of material non-uniformity preceding shear-band formation in a model for granular flow (1997) (6)
- A Well-Posed Free Boundary Value Problem for a Hyperbolic Equation with Dirichlet Boundary Conditions (2004) (6)
- Stability of shear bands in an elastoplastic model for granular flow: the role of discreteness (2003) (5)
- On the Existence of Discrete Frequencies of Oscillation in a Rotating Fluid (1975) (5)
- An Application of von Neumann Algebras to Finite Difference Equations (1972) (5)
- BIFURCATIONS IN A MODULATION EQUATION FOR ALTERNANS IN A CARDIAC FIBER (2010) (5)
- An index theorem for systems of difference operators on a half space (1973) (4)
- Nonlinear Systems: Global Theory (2016) (4)
- Fully nonlinear hyperbolic systems of partial differential equations related to plasticity (1995) (4)
- Boundary-Value Problems for Hyperbolic Equations Related to Steady Granular Flow (2007) (4)
- The hanging thin rod: A singularly perturbed eigenvalue problem (2010) (3)
- Evidence for a Border-Collision Bifurcation in Paced Cardiac Tissue (2005) (3)
- Topics in Bifurcation Theory (1983) (3)
- Erratum to: Directed force chain networks and stress response in static granular materials (2002) (3)
- Stress-controlled shear waves in a saturated granular medium (2000) (3)
- A class of fully nonlinear 22 systems of partial differential equations (1995) (3)
- Maslov theory and singularities (2013) (2)
- General introduction to steady state bifurcation (1981) (2)
- The initial value problem for a system modelling unidirectional longitudinal elastic-plastic waves (1993) (2)
- Approximation of the Dirichlet problem on a half space (1972) (2)
- Evidence for an unfolded border-collision bifurcation in paced cardiac tissue (2006) (2)
- Instability and Ill-Posedness in Granular Flow (1989) (2)
- Loss of hyperbolicity in yield vertex plasticity models under nonproportional loading (1990) (2)
- A Model-Independent Technique for Eigenvalue Identification and Its Application in Predicting Cardiac Alternans (2007) (2)
- Nondimensionalization and Scaling (2016) (2)
- A Thin Cantilever Beam in a Flow (2011) (2)
- Wiener-Hopf factorization of the symbol of an elliptic difference operator (1970) (2)
- Stress Fluctuations in Granular Materials (1997) (2)
- An extension of Hartogs’ theorem for domains whose boundary is not smooth (1970) (2)
- Effect of rate dependence in shear heating of a fluid-saturated fault zone (2005) (2)
- Riemann Problems for 5×5 Systems of Fully Non-linear Equations Related to Hypoplasticity (1996) (1)
- Memoirs from a Small-Scale Course on Industrial Math (1997) (1)
- Mode Interactions with O(2) Symmetry (1988) (1)
- Well-posedness and ill-posedness of single-phase models for suspensions (2023) (1)
- Bifurcation with Z 2-Symmetry (1985) (1)
- Equivariant Unfolding Theory (1988) (1)
- The quasidynamic approximation in critical state plasticity (1989) (1)
- Formation and development of shear bands in granular material (1993) (1)
- Erosion Hazard Assessment: Van Gaal Drain, Richmond, ON (2013) (1)
- Examples of Global Bifurcation (2016) (1)
- Equivariant Normal Forms (1988) (0)
- An application of singularity theory to convection in a spherical shell (1980) (0)
- The Traction Problem for Mooney—Rivlin Material (1988) (0)
- Nonlinear Systems: Local Theory (2016) (0)
- Classification by Codimension (1985) (0)
- Regularising Granular Flow Rheology (2015) (0)
- Reviews (2003) (0)
- EJM volume 5 issue 4 Cover and Front matter (1994) (0)
- A Simple Model for Stress Fluctuations in Plasticity with Application to Granular Materials (1998) (0)
- DOMAINS WHOSE BOUNDARY IS NOT SMOOTH (2016) (0)
- B. Hannon and M. Ruth (Authors), Modeling Dynamic Biological Systems (1998) (0)
- The Liapunov—Schmidt Reduction (1985) (0)
- Action Potential and Conduction Velocity Restitution in Cardiac Tissue (2004) (0)
- Solid-Liquid Transitions of Horizontally Shaken Dry Granular Materials (2020) (0)
- Understanding a Period-Doubling Bifurcation in Cardiac Cells (2008) (0)
- Provocative Opinion: Science at a New University. (1971) (0)
- ON THE REPRESENTATION OF A SOLUTION OF AN ELLIPTIC DIFFERENTIAL EQUATION NEAR AN ISOLATED SINGULARITY 1 (2010) (0)
- Robert Paul Behringer (2018) (0)
- Riemann Problems for 5Ã5 Systems of Fully Nonâlinear Equations Related to Hypoplasticity (1996) (0)
- Linear Systems with Constant Coefficients (2016) (0)
- Oscillations in ODEs (2016) (0)
- Symmetry-Breaking in Steady-State Bifurcation (1988) (0)
- An Example of Moduli (1985) (0)
- A Singularity Theory Approach To Steady-State Bifurcation Theory (2017) (0)
- Symmetry-Breaking in Hopf Bifurcation (1988) (0)
- Trajectories Near Equilibria (2016) (0)
- Two Degrees of Freedom Without Symmetry (1985) (0)
- Bifurcation from Equilibria (2016) (0)
- A note on the representation of a solution of an elliptic differential equation near an isolated singularity (1969) (0)
- Two Degrees of Freedom with ( Z 2 ⊕ Z 2 )-Symmetry (1985) (0)
- Further Examples of Hopf Bifurcation with Symmetry (1988) (0)
- Bifurcations in the Echebarria-Karma Modulation Equation for Cardiac Alternans in One Dimension (2009) (0)
- Group-Theoretic Preliminaries (1988) (0)
- Spatial heterogeneity of the restitution portrait correlates with alternans in paced cardiac tissue (2005) (0)
- The dirichlet problem with generalized functions as data (1969) (0)
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