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Online ISSN 1552-4485; Print ISSN 0033-569X
Existence of steady waves for a class of nonlinear dissipative materials
Author:
James M. Greenberg
Journal:
Quart. Appl. Math. 26 (1968), 27-34
DOI:
https://doi.org/10.1090/qam/99869
MathSciNet review:
QAM99869
Full-text PDF Free Access
References | Additional Information
- Bernard D. Coleman, Morton E. Gurtin, and Ismael Herrera R., Waves in materials with memory. I. The velocity of one-dimensional shock and acceleration waves, Arch. Rational Mech. Anal. 19 (1965), 1–19. MR 175397, DOI https://doi.org/10.1007/BF00252275 B. D. Coleman and M. E. Gurtin, Arch. Rational Mech. Anal. 19, 239–265 (1965) B. D. Coleman and M. E. Gurtin, Arch. Rational Mech. Anal. 19, 266–298 (1965) B. D. Coleman and M. E. Gurtin, Arch. Rational Mech. Anal. 19, 317–338 (1965)
- Eric Varley, Acceleration fronts in viscoelastic materials, Arch. Rational Mech. Anal. 19 (1965), 215–225. MR 177565, DOI https://doi.org/10.1007/BF00277009
- Bernard D. Coleman, James M. Greenberg, and Morton E. Gurtin, Waves in materials with memory, Arch. Rational Mech. Anal. 22 (1966), no. 5, 333–354. V. On the amplitude of acceleration waves and mild discontinuities. MR 1553482, DOI https://doi.org/10.1007/BF00266558
- C. -C. Wang and R. M. Bowen, On the thermodynamics of non-linear materials with quasi-elastic response, Arch. Rational Mech. Anal. 22 (1966), no. 2, 79–99. MR 1553481, DOI https://doi.org/10.1007/BF00276510 J. Dunwoody, Intl. J. Engng. Sci. 4, 277–287, (1966) A. C. Pipkin, Quart. Appl. Math. XXIII, No. 4, 297–303 (1966)
- James M. Greenberg, The existence of steady shock waves in nonlinear materials with memory, Arch. Rational Mech. Anal. 24 (1967), 1–21. MR 205535, DOI https://doi.org/10.1007/BF00251590 W. Noll, J. Rational Mech. Anal. 4, 3–81 (1955)
Additional Information
Article copyright:
© Copyright 1968
American Mathematical Society