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RECENT RESULTS IN THE CONTINUUM THEORY OF VISCOELASTIC FLUIDS*

1961; Wiley; Volume: 89; Issue: 4 Linguagem: Inglês

10.1111/j.1749-6632.1961.tb27586.x

1749-6632

Bernard D. Coleman, Walter Noll,

History and Theory of Mathematics

Annals of the New York Academy of SciencesVolume 89, Issue 4 p. 672-714 RECENT RESULTS IN THE CONTINUUM THEORY OF VISCOELASTIC FLUIDS* Bernard D. Coleman, Bernard D. Coleman Mellon Institute, Pittsburgh, Pa.Search for more papers by this authorWalter Noll, Walter Noll Mathematics Department, Carnegie Institute of Technology, Pittsburgh, Pa.Search for more papers by this author Bernard D. Coleman, Bernard D. Coleman Mellon Institute, Pittsburgh, Pa.Search for more papers by this authorWalter Noll, Walter Noll Mathematics Department, Carnegie Institute of Technology, Pittsburgh, Pa.Search for more papers by this author First published: January 1961 https://doi.org/10.1111/j.1749-6632.1961.tb27586.xCitations: 132 * The work reported in this paper was supported in part by grants from the Air Force Office of Scientific Research, Washington, D. C., under Contract AF49(638)541 with the Mellon Institute, Pittsburgh, Pa., and from the National Science Foundation, Washington, D. C., under Grant NSF-G 5250 to Carnegie Institute of Technology, Pittsburgh, Pa. AboutPDF 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 Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat References 1 TRUESDELL, C. 1952. J. Rational Mech. Anal. 1: 125–300. 2 TRUESDELL, C. 1953. J. Rational Meeh. Anal. 2: 593–616. 3 IKENBERRY, E. & C. TRUESDELL. 1956. J. Rational Mech. Anal. 5: 1–54. 4 TRUESDELL, C. 1956. J. Rational Mech. Anal. 5: 55–128. 5 KORTEWEQ, D. J. 1901. Arch, neA'erl, sci. 6: 1–24. 6 NOLL, W. 1958. Arch. Rational Mech. Anal. 2: 197–226. 7 GREEN, A. E. & R. S. RIVLIN. 1957. Arch. Rational Mech. Anal. 1: 1–21. 8 GREEN, A. E., R. S. RIVLIN & A. J. M. SPENCER. 1959. Arch. Rational Mech. Anal. 3: 82–90. 9 GREEN, A. E. & R. S. RIVLIN. 1960. Arch. Rational Mech. Anal. 4: 387–404. 10 COLEMAN, B. D. & W. NOLL. 1959. Arch. Rational Meeh. Anal. 4: 289–303. 11 COLEMAN, B. D. & W. NOLL. 1959. J. Appl. Phys. 30: 1508–1512. 12 REINER, M. 1945. Am. J. Math. 67: 350–362. 13 RIVLIN, R. S. 1948. Proc. Roy. Soc. (London). A193: 260–281. 14 RIVLIN, R. S. & J. F. ERICKSEN. 1955. J. Rational Mech. Anal. 4: 323–425. 15 RIVLIN, R. S. 1956. J. Rational Meeh. Anal. 5: 179–188. 16 ERICKSEN, J. E. Rheol. Acta. In press. 17 ERICKSEN, J. E. 1960. Arch. Rational Mech. Anal. 4: 231–237. 18 WEISSENBERG, K. 1949. Proc. 1st Intern. Rheol. Congr. Amsterdam. I: 29–45. 19 LANGLOIS, W. E. 1957. Paper presented at Ann. Meeting Soc. Rheol. Princeton, N. J. 20 MARKOVITZ, H. & R. B. WILLIAMSON. 1957. Trans. Soc. Rheol. 1: 25–36. 21 MARKOVITZ, H. 1957. Trans. Soc. Rheol. 1: 37–52. 22 HERMANS, J. J. 1953. Flow Properties of Disperse Systems. Chap. 5. North-Holland. Amsterdam , Holland . 23 MOONEY, M. 1931. J. Rheol. 2: 210–222. 24 PADDEN, F. J. & T. W. DEWITT. 1954. J. Appl. Phys. 25: 1086–1091. 25 SERRIN, J. 1959. Mathematical principles of classical fluid mechanics. In Encyclopedia of Physics, S. Flügge, Ed. VIII(I). (Fluid Mechanics I) : 125–263. Springer. Berlin , Germany . 26 HILLE, E. & R. S. PHILLIPS. 1957. Functional analysis and semi-groups. American Mathematical Society. Colloquium Publications. XXXI. New York , N. Y. 27 SPENCER, A. J. M. & R. S. RIVLIN. 1959. Arch. Rational Mech. Anal. 2: 309–336; 435–446. 28 SPENCER, A. J. M. & R. S. RIVLIN. 1960. Arch. Rational Mech. Anal. 4: 214–230. Citing Literature Volume89, Issue4Thermodynamics and Mechanics of Polymer SystemsJanuary 1961Pages 672-714 ReferencesRelatedInformation