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References

1
M. Avgousti and A.N. Beris, Viscoelastic Taylor-Couette flow: bifurcation analysis in the presence of symmetries, Proc. Roy. Soc. London A 443 (1993), 17-37.

2
P. Chossat and G. Iooss, The Couette-Taylor Problem, Springer, New York 1994.

3
S.N. Chow and J.K. Hale, Methods of Bifurcation Theory, Springer, New York 1982.

4
P.G. Drazin and W.H. Reid, Hydrodynamic Stability, Cambridge Univ. Press, Cambridge 1982.

5
M. Golubitsky and D.G. Schaefer, Singularities and Groups in Bifurcation Theory I, Springer, New York 1985.

6
M. Golubitsky, I. Stewart and D.G. Schaefer, Singularities and Groups in Bifurcation Theory II, Springer, New York 1988.

7
J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer, New York 1983.

8
J.K. Hale, Ordinary Differential Equations, Krieger, Malabar 1980.

9
G. Iooss and D.D. Joseph, Elementary Stability and Bifurcation Theory, Springer, New York 1990.

10
Yu.A. Kuznetsov, Elements of Applied Bifurcation Theory, Springer 1995.

11
A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer, New York 1983.

12
M. Renardy and R.C. Rogers, An Introduction to Partial Differential Equations, Springer, New York 1993.

13
M. Renardy, On the linear stability of hyperbolic PDEs and viscoelastic flows, Z. angew. Math. Phys. 45 (1994), 854-865.

14
Pattern selection in the Bénard problem for a viscoelastic fluid, Z. angew. Math. Phys. 43 (1992), 154-180.

15
S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer, New York 1990.

16
S. Rosenblat, Thermal convection in a viscoelatic liquid, J. Non-Newt. Fluid Mech. 21 (1986), 201-223.


Michael Renardy
1998-07-13