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An approximation theorem for functionals, with applications in continuum mechanics. (English) Zbl 0097.16403

Full Text: DOI
[1] Noll, W.: A mathematical theory of the mechanical behavior of continuous media. Arch. Rational Mech. Anal. 2, 197--266 (1958). · Zbl 0083.39303 · doi:10.1007/BF00277929
[2] Coleman, B. D., & W. Noll: On certain steady flows of general fluids. Arch. Rational Mech. Anal. 4, 289--303 (1959). · Zbl 0087.19402 · doi:10.1007/BF00284181
[3] Coleman, B. D., & W. Noll: Recent results in the continuum theory of viscoelastic fluids. To appear in Ann. New York Acad. Sci. · Zbl 0122.43506
[4] Hille, E., & R. S. Phillips: Functional Analysis and Semi-Groups. American Mathematical Society Colloquium Publications, Vol. XXXI. New York 1957.
[5] Lamb, H.: Hydrodynamics, Chap. XI, 6th Edit. Cambridge: Univ. Press 1932. · Zbl 58.1298.04
[6] Spencer, A. J. M., & R. S. Rivlin: The theory of matrix polynomials and its application to the mechanics of isotropic continua. Arch. Rational Mech. Anal. 3, 309--336 (1959). · Zbl 0095.25101
[7] Spencer, A. J. M., & R. S. Rivlin: Finite integrity bases for five or fewer symmetric 3{$\times$}3 matrices. Arch. Rational Mech. Anal. 3, 435--446 (1959). · Zbl 0095.25102
[8] Spencer, A. J. M., & R. S. Rivlin: Further results in the theory of matrix polynomials. Arch. Rational Mech. Anal. 4, 214--230 (1960). · Zbl 0095.25103 · doi:10.1007/BF00281388