TAIWANESE JOURNAL OF MATHEMATICS

Vol. 4, No. 1, pp. 119-128,  March 2000

　

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    BIFURCATION PROBLEMS FOR EQUATIONS OF FLUID DYNAMICS AND COMPUTER ASSISTED PROOF

　

Takaaki Nishida, Hideaki Yoshihara, Kazunori Kumagai, and Yoshiaki Teramoto
　

Abstract.
              We consider Couette-Taylor problems of the perturbation to Couette flow between two rotating cylinders, and show that the stationary bifurcation or Hopf bifurcation occurs when Taylor numver increases. We make precise analysis of the eigenvalue problems.

　

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Received December 10, 1999.

Communicated by P. Y. Wu.

2000 Mathematics Subject Classification: 34, 35, 65, 76.

Key words and phrases: Taylor problem, bifurcation, eigenvalue problem, computer assisted proof.