Next: Examples in Viscoelasticity
Up: No Title
Previous: Bifurcation with symmetry
- 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