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- Title
Nonresonant case of intersection of bifurcation curves in the Couette-Taylor problem.
- Authors
Morshneva, I.; Ovchinnikova, S.
- Abstract
The nonresonant case (Res 0) of the motion of a viscous incompressible fluid between rotating coaxial cylinders in a small neighborhood of a bifurcation point of codimension 2 is considered, where the amplitude system has only essential resonant terms. Existence and stability conditions are obtained for its solutions which correspond to various periodic and quasiperiodic solutions of the Navier-Stokes equations. In a small neighborhood of some points of the resonance Res 0, the regions of existence and stability of these solutions are determined.
- Subjects
INTERSECTION theory; BIFURCATION theory; ALGEBRAIC curves; VISCOUS flow; COMPRESSIBILITY; NAVIER-Stokes equations; EXISTENCE theorems
- Publication
Journal of Applied Mechanics & Technical Physics, 2010, Vol 51, Issue 6, p819
- ISSN
0021-8944
- Publication type
Article
- DOI
10.1007/s10808-010-0103-1