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Existence, uniqueness, stability for a simple fluid with fading memory
Author(s):
Marshall
Slemrod
Journal:
Bull. Amer. Math. Soc.
82
(1976),
581-583.
MSC (1970):
Primary 76A10, 34J99, 35Q99;
Secondary 47D05
MathSciNet review:
0411339
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References |
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Additional information
References:
- 1.
- B. D. Coleman and H. Markovitz, Incompressible second-order fluids, Advances in Appl. Mech. vol. 8, Academic Press, New York, 1964, 69-101. MR 29 #6765. MR 169517
- 2.
- D. D. Joseph, Slow motion and viscometric motion; stability and bifurcation of the rest state of a simple fluid, Arch. Rational Mech. Anal. 56 (1974/75), 99-157. MR 50 #3744. MR 351255
- 3.
- G. Lumer and R. S. Phillips, Dissipative operators in a Banach space, Pacific J. Math 11 (1961), 679-698. MR 24 #A2248. MR 132403
- 4.
- A. Friedman and M. Shinbrot, Volterra integral equations in Banach space, Trans. Amer. Math. Soc. 126 (1967), 131-179. MR 34 #6571. MR 206754
- 5.
- V. Barbu, Integro-differential equations in Hilbert spaces, An. şti. Univ. Al. I. Cuza Iaşi, n. Ser., Seçt. Ⅰa. 19 (1973), 365-383. MR 402443
- 6.
- R. R. Nachlinger and J. Nunziato, Stability of uniform temperature fields in linear heat conductors with memory, Internat. J. Engrg. Sci. (to appear). MR 459158
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Additional Information:
DOI:
10.1090/S0002-9904-1976-14113-4
PII:
S 0002-9904(1976)14113-4
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