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Online ISSN 1552-4485; Print ISSN 0033-569X
Overdetermination of the speed in rectilinear motion of non-Newtonian fluids
Author:
J. L. Ericksen
Journal:
Quart. Appl. Math. 14 (1956), 318-321
MSC:
Primary 76.0X
DOI:
https://doi.org/10.1090/qam/90336
MathSciNet review:
90336
Full-text PDF Free Access
References | Similar Articles | Additional Information
- R. S. Rivlin, Hydrodynamics of non-Newtonian fluids, Nature 160 (1947), 611. MR 22492, DOI https://doi.org/10.1038/160611a0
- D. E. Stone, On non-existence of rectilinear motion in plastic solids and non-Newtonian fluids, Quart. Appl. Math. 15 (1957), 257–262. MR 90337, DOI https://doi.org/10.1090/S0033-569X-1957-90337-7
- Walter Noll, On the continuity of the solid and fluid states, J. Rational Mech. Anal. 4 (1955), 3–81. MR 67670, DOI https://doi.org/10.1512/iumj.1955.4.54001
- R. S. Rivlin and J. L. Ericksen, Stress-deformation relations for isotropic materials, J. Rational Mech. Anal. 4 (1955), 323–425. MR 68413, DOI https://doi.org/10.1512/iumj.1955.4.54011 E. Goursat, A course in mathematical analysis, translated by E. R. Hedrick and O. Dunkel, Ginn and Co., Boston, 1917, vol. 2
- M. Baker and J. L. Ericksen, Inequalities restricting the form of the stress-deformation relations for isotropic elastic solids and Reiner-Rivlin fluids, J. Washington Acad. Sci. 44 (1954), 33–35. MR 63235
- J. G. Oldroyd, Rectilinear plastic flow of a Bingham solid. III. A more general discussion of steady flow, Proc. Cambridge Philos. Soc. 44 (1948), 200–213. MR 26557, DOI https://doi.org/10.1017/s0305004100024178
- J. G. Oldroyd, Rectilinear flow of non-Bingham plastic solids and non-Newtonian viscous liquids. I, Proc. Cambridge Philos. Soc. 45 (1949), 595–611. MR 32371, DOI https://doi.org/10.1017/s0305004100025287
- J. G. Oldroyd, Rectilinear flow of non-Bingham plastic solids and non-Newtonian viscous liquids. II, Proc. Cambridge Philos. Soc. 47 (1951), 410–418. MR 40175, DOI https://doi.org/10.1017/s030500410002675x
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Article copyright:
© Copyright 1956
American Mathematical Society