Nonsymmetric bifurcations of solutions of the 2D Navier-Stokes system

DOI10.1016/j.aim.2011.11.014zbMath1237.35128OpenAlexW2015220174MaRDI QIDQ664766

Dong Li, Yakov G. Sinai

Publication date: 2 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.aim.2011.11.014

zbMATH Keywords

bifurcationcritical pointperiodic boundary conditionsNavier-Stokes systemset of initial datanonsymmetric bifurcation

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Bifurcations of singular points in dynamical systems (37G10) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Bifurcations in context of PDEs (35B32) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (4)

On a particular analytical solution to the 3D Navier-Stokes equations and its peculiarity for high Reynolds numbers ⋮ On some classes of nonstationary axially symmetric solutions to the Navier-Stokes equations ⋮ Bifurcation of critical points for solutions of the 2D Euler and 2D quasi-geostrophic equations ⋮ On a particular solution to the 3D Navier-Stokes equations for liquids with cavitation

Cites Work

• Gevrey class regularity for the solutions of the Navier-Stokes equations
• NAVIER–STOKES SYSTEM ON THE FLAT CYLINDER AND UNIT SQUARE WITH SLIP BOUNDARY CONDITIONS
• AN ELEMENTARY PROOF OF THE EXISTENCE AND UNIQUENESS THEOREM FOR THE NAVIER–STOKES EQUATIONS
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