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

Russell Johnson, Paolo Nistri, Mikhail I. Kamenskiń≠

DOI: http://dx.doi.org/10.12775/TMNA.1999.015

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.

Keywords


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

Full Text:

FULL TEXT

Refbacks

  • There are currently no refbacks.

Partnerzy platformy czasopism