A variational problem arising in the two-dimensional Navier-Stokes equations with vanishing viscosity

DOI10.1016/0893-9659(94)90048-5zbMath0797.76075OpenAlexW2052834052MaRDI QIDQ1324438

Hisashi Okamoto

Publication date: 20 October 1994

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(94)90048-5

zbMATH Keywords

limit solutiontwo-dimensional Euler equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Variational methods applied to problems in fluid mechanics (76M30) Navier-Stokes equations (35Q30)

Related Items (3)

Nearly singular two-dimensional Kolmogorov flows for large Reynolds numbers ⋮ Exact coherent structures in fully developed two-dimensional turbulence ⋮ Prandtl-Batchelor flows on a disk

Cites Work

• Bifurcation diagrams in Kolmogorov's problem of viscous incompressible fluid on 2-D flat tori
• Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
• On steady laminar flow with closed streamlines at large Reynolds number
• 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

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