Acta Mechanica

, Volume 68, Issue 3–4, pp 185–191

A uniqueness theorem for compressible micropolar flows

  • C. V. Easwaran
  • S. R. Majumdar
Contributed Papers

Summary

Using an energy integral method it is proved that the motion of a non-heat conducting compressible micropolar fluid in a bounded regionV=V(t) is uniquely determined by the initial distributions of velocity, microrotation, density and temperature, together with certain boundary conditions.

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References

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    Eringen, A. C.: Theory of micropolar fluids. J. Math. Mech.16, 1–18 (1966).Google Scholar
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    Ariman, T., Turk, M. A., Sylvester, N. D.: Microcontinuum fluid mechanics — A review. Int. J. Engng. Sc.11, 905–930 (1973).Google Scholar
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    Serrin, J.: On the uniqueness of compressible fluid motions. Arch. Rational Mech. Anal.3, 271–288 (1959).Google Scholar
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    Ramkissoon, H.: Boundary value problems in microcontinuum fluid mechanics. Quart. Appl. Math.42, 129–141 (1984).Google Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • C. V. Easwaran
    • 1
  • S. R. Majumdar
    • 1
  1. 1.Department of Mathematics and StatisticsThe University of CalgaryCalgaryCanada

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