References

(Sorry I don't have glitzy html references. Making a web page was more than enough of a trick for an old dog to learn.)

[A99] W. Allard, "A study of the performance of a distributed-memory molecular-dynamics code", in preparation.

[A00] A. Ashih, "Stochastic models for population growth with sexual and asexual reproduction", PhD thesis in Mathematics at Duke University, expected June 2000.

[AW99] A. Ashih and W. Wilson, "Two-sex population dynamics in space: effects of gestation time on persistence", submitted to Theor. Popl. Biology, 1999.

[B97] R.P. Behringer, "The scientist in the sandbox: time-dependence, fractals, and waves", Int. J. Bifur. Chaos 7 (1997), pp963--978.

[MG99a] P. Gremaud and J.V. Matthews, "Simulation of gravity flow of granular materials in hoppers", Proc. Int. Symposium on Discontinuous Galerkin Methods, Newport, RI, May 24-26, 1999, B. Cockburn, G. Karniadakis, C.W. Shu organizers, Springer Verlag.

[MG99b] P. Gremaud and J.V. Matthews, "On the computation of steady hopper flows: I: Stress determination for Coulomb materials", J. Comp. Physics, submitted 1999.

[GSS99] P. Gremaud, D. Schaeffer, and M. Shearer, "Numerical determination of flow-corrective inserts for granular materials in conical hoppers", Int. J. Nonlinear Mech, to appear.

[H99] G.M. Hall, "Controlling complex behavior in cardiac muscle", PhD thesis in Physics at Duke University, expected Dec 1999.

[HBG99] G.M. Hall, S. Bahar, and D. Gauthier, "Prevalence of rate-dependent behaviors in cardiac muscle", Phys. Rev. Lett. 82 (1999), pp2995--2998.

[HS98] B. Hayes and D. Schaeffer, "Plane shear waves under a periodic boundary disturbance in a saturated granular medium", Physica D 121 (1998), pp193--212.

[HS99] B. Hayes and D. Schaeffer, "Stress-controlled shear waves in a saturated granular medium". Euro. J. Appl. Math, to appear.

[HSSZ98] L. Howle, D. Schaeffer, M. Shearer, and P. Zhong, "Lithotripsy: The treatment of kidney stones with shock waves", SIAM Review 40 (1998), pp356--371.

[JNB96] H. Jaeger, S. Nagel, and R. Behringer, "Granular solids, liquids, and gases", Rev. Mod. Phys. 68 (1996), pp1259--1273.

[MTHZ97] M. Murray, H. Tong, L. Howle, and P. Zhong, "Response of a cavitation bubble surrounded by a viscoelastic membrane", Proc. Biomedical Fluid Engineering Symposium II, Vancouver, BC, Canada, 1997.

[S87] D. Schaeffer, "Instability in the evolution equations describing granular flow", J. Diff. Eqn. 66 (1987), pp19--50.

[S92] D. Schaeffer, "A mathematical model for localization of granular flow", Proc. Royal Soc. London A436 (1992), pp217--250.

[SS93] D. Schaeffer and M. Shearer, "Unloading near a shear band: a free boundary problem for the wave equation", Comm PDE 18 (1993), pp1271--1298.

[SS94] M. Shearer and D. Schaeffer, "Unloading near a shear band in granular material", Quart. Appl Math. 52 (1994), pp579--600.

[SS97] D. Schaeffer and M. Shearer, "The influence of material nonuniformity preceding shear-band formation in a model for granular flow", Euro. J. Appl. Math. 8 (1997), pp457--483.

[SS98] D. Schaeffer and M. Shearer, "A simple model for stress fluctuations in plasticity with application to granular flow", SIAM J. Appl. Math 58 (1998), pp1791--1807.

[SSS99] M. Sexton, J. Socolar, and D. Schaeffer, "Force distribution in a scalar model for non-cohesive granular material", Phys. Rev. Lett., to appear.


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Last modified: 9 September 1996 chmod 644 references.html