Bifurcation of a periodic solution of the Navier-Stokes equations into an invariant torus-Reference-Cited by-同舟云学术

Bifurcation of a periodic solution of the Navier-Stokes equations into an invariant torus

Published:1975 Issue:1 Volume:58 Page:35-56
ISSN:0003-9527
Container-title:Archive for Rational Mechanics and Analysis
language:en
Short-container-title:Arch. Rational Mech. Anal.

Author:

Iooss G�rard

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Link

http://link.springer.com/content/pdf/10.1007/BF00280153.pdf

Reference25 articles.

1. Hopf, E., Abzweigung einer Periodischen Lösung eines Differentialsystems. Berichten der Math.-Phys. Klasse der Sächsischen Akademie der Wissenschaften zu Leipzig, XCIV, 1?22 (1942).

2. Sattinger, D.H., Bifurcation of periodic solutions of the Navier-Stokes equations. Arch. Rational Mech. Anal. 41, 66?80 (1971).

3. Iudovich, V.I., Appearance of auto-oscillations in a fluid. Prikl. Mat. Mek. 35, 638?655 (1971).

4. Joseph, D.D., & D.H., Sattinger, Bifurcating time periodic solutions and their stability. Arch. Rational Mech. Anal. 45, 79?109 (1972).

5. Iooss, G., Bifurcation des solutions périodiques de certains problèmes d'évolution. C.R. Acad. Sci. Paris 273, série A, 624?627 (1971).

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