Existence of orthogonal domain walls in Bénard-Rayleigh convection

DOI10.1007/s00021-024-00891-2MaRDI QIDQ6653878

Gérard Iooss

Publication date: 17 December 2024

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

Lyapunov-Schmidt reductionheteroclinic connectionreversible dynamical systemNavier-Stokes-Boussinesq equations1:1 resonance bifurcation problem

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Navier-Stokes equations (35Q30) Free convection (76R10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Diffusive and convective heat and mass transfer, heat flow (80A19)

Cites Work

• Unnamed Item
• Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
• Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems
• Domain walls for the Bénard-Rayleigh convection problem with ``Rigid-free boundary conditions
• Bifurcation of symmetric domain walls for the Bénard-Rayleigh convection problem
• Heteroclinic orbits for a system of amplitude equations for orthogonal domain walls
• Recent Developments in Rayleigh-Bénard Convection

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