Nonlinear stability of Couette, Poiseuille, and Kolmogorov plane channel flows

DOI10.1134/S1064562412020068zbMath1257.35175MaRDI QIDQ1760973

O. V. Troshkin

Publication date: 15 November 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Stability and instability of nonparallel flows in hydrodynamic stability (76E09)

Related Items (7)

Unsteady layered vortical fluid flows ⋮ On the short-wave nature of Richtmyer-Meshkov instability ⋮ On the development of a wake vortex in inviscid flow ⋮ Nonlinear stability of a parabolic velocity profile in a plane periodic channel ⋮ Stability of the Kolmogorov flow and its modifications ⋮ On the stability of a plane flow vortex ⋮ Comparative analysis of eddy cascade formation in various turbulent problems

Cites Work

• Unnamed Item
• On the noncoincidence of spaces S\(^\beta_\alpha\) and \(S_\alpha \cap S^\beta (\alpha>0, \beta>1)\)
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits

This page was built for publication: Nonlinear stability of Couette, Poiseuille, and Kolmogorov plane channel flows