Bifurcation of periodic solutions of the Navier-Stokes equations in a thin domain

Authors

  • Russell Johnson
  • Paolo Nistri
  • Mikhail I. Kamenskiĭ

Keywords

Bifurcation, periodic solutions, Navier-Stokes equations, thin domains

Abstract

Aim of this paper is to provide conditions in order to guarantee that the periodic solutions in time and in the space variables of the Navier-Stokes equations bifurcate. Specifically, we study this problem when the considered state domain has one dimension which is small with respect to the others which we let to tend to zero. The thinness of the domain represents the bifurcation parameter in our situation.

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Published

1999-06-01

How to Cite

1.
JOHNSON, Russell, NISTRI, Paolo and KAMENSKIĬ, Mikhail I. Bifurcation of periodic solutions of the Navier-Stokes equations in a thin domain. Topological Methods in Nonlinear Analysis. Online. 1 June 1999. Vol. 13, no. 2, pp. 281 - 300. [Accessed 8 July 2025].

Issue

Vol 13, No 2 (June 1999)

Section

Articles

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