Steady flows of nonlinear bipolar viscous fluids between rotating cylinders

Authors:
Frederick Bloom and Wenge Hao

Journal:
Quart. Appl. Math. **53** (1995), 143-171

MSC:
Primary 76D99; Secondary 35Q35, 73B25, 76A05

DOI:
https://doi.org/10.1090/qam/1315453

MathSciNet review:
MR1315453

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Abstract: The boundary-value problem governing the steady Couette flow of a nonlinear bipolar viscous fluid is formulated and solved for particular, degenerate, values of the constitutive parameters; for the general situation, in which the relevant constitutive parameters are positive, we establish existence and uniqueness of solutions to the boundary-value problems. Continuous dependence of solutions, in appropriate norms, is also established with respect to the parameters governing the nonlinearity and multipolarity of the model as these constitutive parameters converge to zero.

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DOI:
https://doi.org/10.1090/qam/1315453

Article copyright:
© Copyright 1995
American Mathematical Society