Nonlinear stability of a parabolic velocity profile in a plane periodic channel

DOI10.1134/S0965542513110110zbMath1313.76045OpenAlexW1999156260MaRDI QIDQ2940409

O. V. Troshkin

Publication date: 26 January 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://www.maik.ru/cgi-perl/search.pl?type=abstract&name=commat&number=11&year=13&page=1729

zbMATH Keywords

nonlinear stabilityplane flowsplane periodic channel

Mathematics Subject Classification ID

Parallel shear flows in hydrodynamic stability (76E05)

Related Items (3)

On the short-wave nature of Richtmyer-Meshkov instability ⋮ Stability theory for a two-dimensional channel ⋮ Comparative analysis of eddy cascade formation in various turbulent problems

Cites Work

• Invariant form and certain structural properties of hydrodynamic Euler equations
• Nonlinear stability of Couette, Poiseuille, and Kolmogorov plane channel flows
• Un théorème sur l'existence du mouvement plan d'un fluide parfait, homogene, incompressible, pendant un temps infiniment long
• Stability of plane-parallel Couette flow
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• On classical solutions of the two-dimensional non-stationary Euler equation
• Stabilität und Verzweigung stationärer Lösungen der Navier- Stokesschen Gleichungen beim Taylorproblem. (Stability and branching of the stationary solutions of the Navier-Stokes equation on the problems of Taylor)
• Structurization of chaos
• Computational Turbulent Incompressible Flow
• Numerical stability analysis of the Taylor-Couette flow in the two-dimensional case
• Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid
• Topological analysis of the structure of hydrodynamic flows
• A TWO-DIMENSIONAL FLOW PROBLEM FOR STEADY-STATE EULER EQUATIONS
• Example of the generation of a secondary stationary or periodic flow when there is loss of stability of the laminar flow of a viscous incompressible fluid
• The bifurcation of fluid flow between rotating cylinders
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