Two-dimensional infinite Prandtl number convection: structure of bifurcated solutions

DOI10.1007/s00332-005-0747-9zbMath1127.35049OpenAlexW1968229186MaRDI QIDQ885878

Jung Ho Park

Publication date: 14 June 2007

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-005-0747-9

zbMATH Keywords

Boussinesq equationssteady-state solutionscenter manifoldbifurcating attractor

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Convection in hydrodynamic stability (76E06) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (7)

A POD Reduced Order Method Applied to an Instability Problem of Rayleigh–Bénard Convection ⋮ Structure of bifurcated solutions of two-dimensional infinite Prandtl number convection with no-slip boundary conditions ⋮ Reduced Basis Method Applied to Eigenvalue Problems from Convection ⋮ Theoretical and numerical study of a thermal convection problem with temperature-dependent viscosity in an infinite layer ⋮ Bifurcation of infinite Prandtl number rotating convection ⋮ Characteristic methods for thermal convection problems with infinite Prandtl number on nonuniform staggered grids ⋮ Thermosolutal convection at infinite prandtl number with or without rotation: Bifurcation and stability in physical space

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