Bifurcations of Poiseuille flow between parallel plates: Three- dimensional solutions with large spanwise wavelength

DOI10.1007/BF00379917zbMath0822.35012WikidataQ59902114 ScholiaQ59902114MaRDI QIDQ1891413

Alexander Mielke, Andrei L. Afendikov

Publication date: 28 June 1995

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

spatial dynamics approachthree-dimensional Poiseuille flow between parallel plates

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Parallel shear flows in hydrodynamic stability (76E05) Bifurcations in context of PDEs (35B32)

Related Items

Bifurcation of homoclinic orbits to a saddle-focus in reversible systems with SO(2)-symmetry, Existence and homogenisation of travelling waves bifurcating from resonances of reaction-diffusion equations in periodic media, Standing waves near the Kolmogorov flow

Cites Work

• Time-periodic Ginzburg-Landau equations for one dimensional patterns with large wave length
• Singularities and groups in bifurcation theory. Volume II
• The Hopf bifurcation with symmetry for the Navier-Stokes equations in \((L_ p(\Omega))^ n\), with application to plane Poiseuille flow
• A new estimate for the Ginzburg-Landau approximation on the real axis
• On the validity of the Ginzburg-Landau equation
• Bifurcating time-periodic solutions of Navier-Stokes equations in infinite cylinders
• The Couette-Taylor problem
• Error estimates for the Ginzburg-Landau approximation
• The time dependent amplitude equation for the Swift-Hohenberg problem
• Wave-solutions of reversible systems and applications
• Symmetry and Stability in Taylor-Couette Flow
• Primary and secondary bifurcations in the Couette-Taylor problem
• Reduction of quasilinear elliptic equations in cylindrical domains with applications
• On the nonlinear evolution of three-dimensional disturbances in plane Poiseuille flow
• Subcritical bifurcation of plane Poiseuille flow
• On certain aspects of three-dimensional instability of parallel flows
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item