Unimodal patterns appearing in the Kolmogorov flows at large Reynolds numbers

DOI10.1088/0951-7715/28/9/3219zbMath1446.76093OpenAlexW2264468601MaRDI QIDQ3196558

Hisashi Okamoto, Sun-Chul Kim

Publication date: 29 October 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/28/9/3219

zbMATH Keywords

Navier-Stokes equationsbifurcationpattern formation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Bifurcations in context of PDEs (35B32) Pattern formations in context of PDEs (35B36)

Related Items

Unimodal solutions of the generalized Constantin-Lax-Majda equation with viscosity ⋮ Asymptotic analysis of the attractors in two-dimensional Kolmogorov flow ⋮ Unimodal patterns appearing in the two-dimensional Navier-Stokes flows under general forcing at large Reynolds numbers ⋮ On the stationary solutions and inviscid limit for the generalized Proudman-Johnson equation with \(O(1)\) forcing ⋮ Exact coherent structures in fully developed two-dimensional turbulence ⋮ On stationary solutions and inviscid limits for generalized Constantin–Lax–Majda equation with O(1) forcing ⋮ Existence proof of unimodal solutions of the Proudman-Johnson equation via interval analysis ⋮ Selection of quasi-stationary states in the Navier–Stokes equation on the torus ⋮ Motion of three geostrophic Bessel vortices ⋮ Stationary flows with highly localized vorticity of the incompressible viscous fluid at large Reynolds numbers ⋮ Bimodal vortex solutions on a sphere

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