D. Schaeffer

发表

The Recognition Problem

M. Golubitsky, D. Schaeffer, 1985 .

Singularities and groups in bifurcation theory

M. Golubitsky, D. Schaeffer, 1985 .

A two-current model for the dynamics of cardiac membrane

D. Schaeffer, C. C. Mitchell, 2003, Bulletin of mathematical biology.

Stability of shock waves for a single conservation law

M. Golubitsky, D. Schaeffer, 1975 .

The Hopf Bifurcation

M. Golubitsky, D. Schaeffer, 1985 .

Bifurcation analysis near a double eigenvalue of a model chemical reaction

M. Golubitsky, D. Schaeffer, 1981 .

The classification of 2 × 2 systems of non‐strictly hyperbolic conservation laws, with application to oil recovery

David G. Schaeffer, Michael Shearer, D. Schaeffer, 1987 .

Bifurcations in the Echebarria-Karma Modulation Equation for Cardiac Alternans in One Dimension

D. Schaeffer, Shu Dai, 2009 .

Small-signal amplification of period-doubling bifurcations in smooth iterated maps

D. Gauthier, D. Schaeffer, Xiaopeng Zhao, 2006, Nonlinear dynamics.

Instability in the evolution equations describing incompressible granular flow

David G. Schaeffer, D. Schaeffer, 1987 .

Bifurcation from Equilibria

D. Schaeffer, J. Cain, 2016 .

Topics in Bifurcation Theory

D. Schaeffer, 1983 .

Some examples of singularities in a free boundary

D. Schaeffer, 1977 .

C*-algebras of operators on a half-space II: Index theory

D. Schaeffer, I. Singer, L. Coburn, 1971 .

Dynamics of Hepatitis B Virus Infection: What Causes Viral Clearance?

Anne J. Catllá, Stanca M. Ciupe, D. Schaeffer, 2011 .

Approximation of the Dirichlet problem on a half space

D. Schaeffer, 1972 .

Unloading near a shear band: a free boundary problem for the wave equation

David G. Schaeffer, Michael Shearer, D. Schaeffer, 1993 .

Numerical computations for shear bands in an antiplane shear model

David G. Schaeffer, D. Schaeffer, F. Xabier Garaizar, 1994 .

Nonstrictly Hyperbolic Conservation Laws with a Parabolic Line

D. Schaeffer, M. Shearer, S. Schecter, 1993 .

Shortening of cardiac action potential duration near an insulating boundary.

D. Schaeffer, J. Cain, 2008, Mathematical medicine and biology : a journal of the IMA.

Riemann Problems for 5×5 Systems of Fully Non-linear Equations Related to Hypoplasticity

D. Schaeffer, M. Shearer, 1996 .

Directed force chain networks and stress response in static granular materials

J. Socolar, D. Schaeffer, P. Claudin, 2002, The European physical journal. E, Soft matter.

Mathematical Medicine and Biology

Samrat Chatterjee, Joydev Chattopadhyay, Chris Cosner, 2008 .

Force distribution in a scalar model for noncohesive granular material.

J. Socolar, D. Schaeffer, M. Sexton, 1998, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

Bifurcation and stability of homogeneous equilibrium configurations of an elastic body under dead-load tractions

D. Schaeffer, J. Ball, 1983, Mathematical Proceedings of the Cambridge Philosophical Society.

The flutter instability in granular flow

D. Schaeffer, L. An, 1992 .

Loss of hyperbolicity in yield vertex plasticity models under nonproportional loading

D. Schaeffer, M. Shearer, 1990 .

The initial value problem for a system modelling unidirectional longitudinal elastic-plastic waves

D. Schaeffer, M. Shearer, 1993 .

Formation and development of shear bands in granular material

D. Schaeffer, M. Shearer, J. Trangenstein, 1993 .

Well-posedness and ill-posedness of single-phase models for suspensions

D. Schaeffer, M. Shearer, J. Gray, 2023, Journal of Fluid Mechanics.

An application of the Nash-moser theorem to a free boundary problem

D. Schaeffer, 1978 .

On a certain class of Fuchsian partial differential equations

D. Schaeffer, V. Guillemin, 1977 .

Cardiac Alternans Arising From an Unfolded Border-Collision Bifurcation

Daniel J. Gauthier, Xiaopeng Zhao, Wanda Krassowska, 2007, 0712.3336.

Modeling mutant phenotypes and oscillatory dynamics in the Saccharomyces cerevisiae cAMP-PKA pathway

David G. Schaeffer, Kevin Gonzales, Ömür Kayikçi, 2013, BMC Systems Biology.

Condition for alternans and stability of the 1:1 response pattern in a "memory" model of paced cardiac dynamics.

Daniel J Gauthier, E G Tolkacheva, W Krassowska, 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

Forces on a slowly rotating, rough cylinder in a Couette device containing a dry, frictional powder

David G. Schaeffer, Gabriel I. Tardos, D. Schaeffer, 1998 .

Well-posed continuum equations for granular flow with compressibility and μ(I)-rheology

D. Schaeffer, M. Shearer, J. Gray, 2016, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Well-posed and ill-posed behaviour of the ${\it\mu}(I)$ -rheology for granular flow

D. G. Schaeffer, D. Schaeffer, J. Gray, 2015, Journal of Fluid Mechanics.

Well-posed and ill-posed behaviour of the µ ( I ) -rheology for granular ﬂow

D. Schaeffer, J. Gray, P. Bohorquez, 2015 .

Plane shear waves in a fully saturated granular medium with velocity and stress controlled boundary conditions

D. Schaeffer, M. Shearer, M. S. Gordon, 1997 .

A class of fully nonlinear 22 systems of partial differential equations

D. Schaeffer, M. Shearer, 1995 .

Fully nonlinear hyperbolic systems of partial differential equations related to plasticity

D. Schaeffer, M. Shearer, 1995 .

Scale-invariant initial value problems in one-dimensional dynamic elastoplasticity, with consequences for multidimensional nonassociative plasticity

David G. Schaeffer, Michael Shearer, D. Schaeffer, 1992, European Journal of Applied Mathematics.

A mathematical model for localization in granular flow

David G. Schaeffer, D. Schaeffer, 1992, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

Solution of the riemann problem for a prototype 2×2 system of non-strictly hyperbolic conservation laws

D. G. Schaeffer, D. Marchesin, D. Schaeffer, 1987 .

Riemann problems for nonstrictly hyperbolic 2×2 systems of conservation laws

D. Schaeffer, M. Shearer, 1987 .

A regularity theorem for conservation laws

D. Schaeffer, 1973 .

Chaos for cardiac arrhythmias through a one-dimensional modulation equation for alternans.

D. Schaeffer, Shu Dai, 2010, Chaos.

Evidence for an unfolded border-collision bifurcation in paced cardiac tissue

Daniel J. Gauthier, Xiaopeng Zhao, Wanda Krassowska, 2006, q-bio/0607019.

Period-doubling bifurcation to alternans in paced cardiac tissue: crossover from smooth to border-collision characteristics.

Daniel J Gauthier, Xiaopeng Zhao, David G Schaeffer, 2007, Physical review letters.

On Spiking Models for Synaptic Activity and Impulsive Differential Equations

Thomas P. Witelski, Anne J. Catllá, David G. Schaeffer, 2008, SIAM Rev..

Two-Term Asymptotic Approximation of a Cardiac Restitution Curve

John W. Cain, David G. Schaeffer, D. Schaeffer, 2006, SIAM Rev..

Force distributions in a triangular lattice of rigid bars.

J. Socolar, D. Schaeffer, M. Huber, 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

Electrical Waves in a One-Dimensional Model of Cardiac Tissue

Christopher K. R. T. Jones, Margaret Beck, Martin Wechselberger, 2008, SIAM J. Appl. Dyn. Syst..

A singularity theory analysis of a thermal‐chainbranching model for the explosion peninsula

Martin Golubitsky, Barbara Lee Keyfitz, David G. Schaeffer, 1981 .

A Theory for Imperfect Bifurcation via Singularity Theory.

Martin Golubitsky, David G. Schaeffer, M. Golubitsky, 1979 .

Plane shear waves under a periodic boundary disturbance in a saturated granular medium

D. Schaeffer, B. Hayes, 1998 .

The hanging thin rod: A singularly perturbed eigenvalue problem

D. Schaeffer, Y. Farjoun, 2010, 1008.1912.

Temporal control of self-organized pattern formation without morphogen gradients in bacteria

Lingchong You, Bochong Li, Yangxiaolu Cao, 2013, Molecular systems biology.

Stability of time dependent compressible granular flow in two dimensions

E. Bruce Pitman, David G. Schaeffer, D. Schaeffer, 1987 .

Boundary-Value Problems for Hyperbolic Equations Related to Steady Granular Flow

Thomas P. Witelski, D. Schaeffer, M. Shearer, 2007 .

Restitution in mapping models with an arbitrary amount of memory.

Daniel J Gauthier, David G Schaeffer, Soma S Kalb, 2005, Chaos.

Principles that govern competition or co-existence in Rho-GTPase driven polarization

Thomas P. Witelski, Timothy C. Elston, Thomas P. Witelski, 2017, bioRxiv.

BIFURCATIONS IN A MODULATION EQUATION FOR ALTERNANS IN A CARDIAC FIBER

D. Schaeffer, Shu Dai, 2010 .

Spectrum of a Linearized Amplitude Equation for Alternans in a Cardiac Fiber

Shu Dai, David G. Schaeffer, D. Schaeffer, 2008, SIAM J. Appl. Math..

Ill‐posedness in three‐dimensional plastic flow

E. Bruce Pitman, David G. Schaeffer, D. Schaeffer, 1988 .

One-Sided estimates for the curvature of the free boundary in the obstacle problem*

D. Schaeffer, 1977 .

An example of generic regularity for a non-linear elliptic equation

D. Schaeffer, 1974 .

Wiener-Hopf factorization of the symbol of an elliptic difference operator

D. Schaeffer, 1970 .

Secondary Circulation in Granular Flow Through Nonaxisymmetric Hoppers

David G. Schaeffer, Pierre-Alain Gremaud, John V. Matthews, 2004, SIAM J. Appl. Math..

Boundary conditions and mode jumping in the buckling of a rectangular plate

Martin Golubitsky, David G. Schaeffer, M. Golubitsky, 1979 .

Constitutive relations for compressible granular flow in the inertial regime

D. Schaeffer, P. Gremaud, M. Shearer, 2019, Journal of Fluid Mechanics.

Rate-dependent propagation of cardiac action potentials in a one-dimensional fiber.

Daniel J Gauthier, David G Schaeffer, John W Cain, 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

Mathematical issues in the continuum formulation of slow granular flow

David G. Schaeffer, D. Schaeffer, 1990 .

Qualitative analysis of a model for boundary effects in the Taylor problem

David G. Schaeffer, D. Schaeffer, 1980, Mathematical Proceedings of the Cambridge Philosophical Society.

Imperfect bifurcation in the presence of symmetry

Martin Golubitsky, David G. Schaeffer, M. Golubitsky, 1979 .

Bifurcations with O(3) symmetry including applications to the Bénard problem

M. Golubitsky, D. Schaeffer, 1982 .

Nonlinear behavior of model equations which are linearly ill-posed

D. Schaeffer, J. T. Beale, 1988 .

A discrete model for an ill-posed nonlinear parabolic PDE

Thomas P. Witelski, David G. Schaeffer, Michael Shearer, 2001 .

Two phase flows and waves

D. Schaeffer, D. Joseph, 1990 .

An Application of von Neumann Algebras to Finite Difference Equations

D. Schaeffer, 1972 .

Granular friction, Coulomb failure, and the fluid-solid transition for horizontally shaken granular materials.

Guy Metcalfe, D. Schaeffer, R. Behringer, 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

Mathematical foundations of elasticity

T. R. Hughes, M. Golubitsky, J. Mesirov, 1982 .

A new proof of the infinite differentiability of the free boundary in the Stefan problem

David G Schaeffer, D. Schaeffer, 1976 .

Bifurcation problems with hidden symmetries

Jerrold E. Marsden, Martin Golubitsky, David G. Schaeffer, 1984 .

A Simple Model for Stress Fluctuations in Plasticity with Application to Granular Materials

David G. Schaeffer, Michael Shearer, D. Schaeffer, 1998, SIAM J. Appl. Math..

The dirichlet problem with generalized functions as data

D. Schaeffer, 1969 .

Supersonic flow past a nearly straight wedge

D. Schaeffer, 1976 .

Well-posed and ill-posed behaviour of the ${\it\mu}(I)$ -rheology for granular flow

D. Schaeffer, P. Bohorquez, T. Barker, 2015, Journal of Fluid Mechanics.

General introduction to steady state bifurcation

D. Schaeffer, J. Hayden, 1981 .

AN ANALYSIS OF IMPERFECT BIFURCATION *

M. Golubitsky, D. Schaeffer, 1979 .

Remarks on a paper of D. Ludwig

D. Schaeffer, V. Guillemin, 1973 .

DOMAINS WHOSE BOUNDARY IS NOT SMOOTH

D. Schaeffer, 2016 .

The onset of steady vortices in Taylor-Couette flow: The role of approximate symmetry

D. Schaeffer, T. Mullin, K. Cliffe, 2012 .

Non-uniqueness in the equilibrium shape of a confined plasma †

David G. Schaeffer, D. Schaeffer, 1977 .