A uniqueness theorem for incompressible micropolar flows
Authors:
C. V. Easwaran and S. R. Majumdar
Journal:
Quart. Appl. Math. 48 (1990), 201-207
MSC:
Primary 76A05; Secondary 73B25
DOI:
https://doi.org/10.1090/qam/1052130
MathSciNet review:
MR1052130
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Abstract: It is proved that subject to certain regularity assumptions on velocity and microrotation and a certain convergence condition on pressure, the flow of an incompressible micropolar fluid around a finite solid body is uniquely determined by the motion of the body.
S. C. Cowin, Phys. Fluids 11, 1919–1927 (1968)
- A. Cemal Eringen, Theory of micropolar fluids, J. Math. Mech. 16 (1966), 1–18. MR 0204005, DOI https://doi.org/10.1512/iumj.1967.16.16001
- R. H. Dyer and D. E. Edmunds, A uniqueness theorem in magnetohydrodynamics, Arch. Rational Mech. Anal. 8 (1961), 254–262. MR 141335, DOI https://doi.org/10.1007/BF00277443
S. C. Cowin, Phys. Fluids 11, 1919–1927 (1968)
A. C. Eringen, Theory of micropolar fluids, J. Math. Mech. 16, 1–18 (1966)
Robert H. Dyer and D. E. Edmunds, A uniqueness theorem in magnetohydrodynamics, Arch. Rat. Mech. Anal. 8, 254–262 (1961)
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Article copyright:
© Copyright 1990
American Mathematical Society
