Literature cited
V. I. Yudovich, “Free convection and branching,” Prikl. Matem. i Mekhan.,31, No. 1 (1967).
G. Z. Gershuni and E. M. Zhukhovitskii, “Parametric excitation of convective instability,” Prikl. Matem. i Mekhan.,27, No. 5 (1963).
G. S. Markman, “Development of time periodic convection,” Izv. Akad. Nauk SSSR, Mekhan. Zhidk. i Gaza, No. 4 (1971).
M. M. Vainberg and V. A. Trenogen, “Lyapunov-Schmidt methods in the theory of nonlinear equations and their further development,” Usp. Matem. Nauk,17, No. 2, 104 (1962).
V. I. Yudovich, “An example of loss of stability and generation of secondary flow in a liquid in a closed vessel,” Matem. Sb.,74, No. 4, 116 (1967).
V. I. Yudovich, “Convection flow stability,” Prikl. Matem. i Mekhan.,31, No. 2 (1967).
V. I. Yudovich, “Stability of constrained liquid oscillations,” Dokl. Akad. Nauk SSSR,195, No. 2 (1970).
G. S. Markman, “Instability of equilibrium in a liquid under the influence of vibrational forces and btime periodic temperature gradients,” in: Mathematical Analysis and Its Applications [in Russian], Vol. 2, Izd. Rostovsk. Un-ta (1970).
V. I. Yudovich, “An example of the generation of secondary stationary or periodic flow with loss of laminar flow stability in a viscous incompressible liquid,” Prikl. Matem. i Mekhan.,29, No. 3 (1965).
Additional information
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 58–63, May–June, 1973.
Rights and permissions
About this article
Cite this article
Markman, G.S. The development of time periodic secondary convective flows. Fluid Dyn 8, 391–395 (1973). https://doi.org/10.1007/BF01019963
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01019963