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On uniqueness of flows for a class of second-order fluids

Published online by Cambridge University Press:  26 February 2010

R. N. Hills
R. N. Hills
Affiliation:
School of Mathematics, The University of Newcastle upon Tyne, Newcastle upon Tyne.
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Extract

In the present paper we consider the uniqueness of the solutions of the equations governing the motion of an incompressible second-order fluid in a bounded region. For such a fluid model the stress tensor S in a rectangular Cartesian coordinate system xi at a point xi of the fluid is determined from

where I is the unit tensor, p the hydrostatic pressure and μ, β, γ are material constants. The tensors A1 and A2 are the first and second Rivlin-Ericksen tensors which are defined in terms of the velocity field vi by

Type
Research Article
Information
Mathematika , Volume 17 , Issue 2 , December 1970 , pp. 333 - 337
Copyright
Copyright © University College London 1970

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References

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