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• W2140744158 abstract "Communications on Pure and Applied MathematicsVolume 47, Issue 9 p. 1239-1281 Article Continuum limits for discrete gases with long- and short-range interactions J. M. Greenberg, J. M. Greenberg University of MarylandSearch for more papers by this authorArje Nachman, Arje Nachman AFOSR, Bolling Air Force BaseSearch for more papers by this author J. M. Greenberg, J. M. Greenberg University of MarylandSearch for more papers by this authorArje Nachman, Arje Nachman AFOSR, Bolling Air Force BaseSearch for more papers by this author First published: September 1994 https://doi.org/10.1002/cpa.3160470905Citations: 5AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Bibliography 1 Antman, S., and Nachman, A., Large buckled states of rotating rods, Nonlinear Anal. 4, 1980, pp. 303– 327. 2 Goodman, J., and Lax, P. D., On dispersive difference schemes. I, Comm. Pure Appl. Math. 41, 1988, pp. 591: 613. 3 Greenberg, J. M., Continuum limits of discrete gases, Arch. Rational Mech. Anal. 105, 1989, pp. 367– 376. 4 Greenberg, J. M., The shock generation problem for a discrete gas with short-range repulsive forces, Comm. Pure Appl. Math. 45, 1992, pp. 1125– 1139. 5 Greenberg, J. M., and Hack, J., Continuum limits of discrete gases II, pp. 123– 136 in: Shock Induced Transitions and Phase Structure in General Media, R. Fosdick, E. Dunn, and M. Slemrod, eds., IMA Volumes in Mathematics and its Applications, 52, Springer-Verlag, New York, 1993. 6 Greenberg, J. M., and Peszek, R., Continuum limits of interacting particle systems, Phys. D, 1993, pp. 172– 190. 7 Holian, B. L., Flaschka, H., and McLaughlin, D. W., Shock waves in the Toda lattice: Analysis, Phys. Rev. A 24, 1981, pp. 2595– 2623. 8 Holian, B. L., and Straub, G. K., Molecular dynamics of shock waves in one-dimensional chains, Phys. Rev. B 18, 1978, pp. 1593– 1608. 9 Hou, T. Y., and Lax, P. D., Dispersive approximations in fluid dynamics, Comm. Pure and Appl. Math. 44, 1991, pp. 1– 40. 10 Lax, P. D., and Levermore, C. D., The small dispersion limit of the Korteweg-de Vries equation. I, II, III, Comm. Pure Appl. Math. 36, 1983, pp. 253– 290; pp. 571–593; pp. 809–829. 11 Venakides, S., Deift, P., and Oba, R., The Toda shock problem, Comm. Pure Appl. Math. 44, 1991, pp. 1171– 1242. 12 Von Neumann, J., Proposal and analysis of a new numerical method in the treatment of hydrodynamical shock problems, pp. 361– 379 in: Collected Works, Vol. VI, Pergamon, Oxford, 1963. 13 Whitham, G. B., Linear and Nonlinear Waves, Wiley, New York, 1974. Citing Literature Volume47, Issue9September 1994Pages 1239-1281 ReferencesRelatedInformation" @default.
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