Domain walls for the Bénard-Rayleigh convection problem with ``Rigid-free boundary conditions

DOI10.1007/s10884-021-09986-0OpenAlexW3152222174WikidataQ115383212 ScholiaQ115383212MaRDI QIDQ2097625

Mariana Haragus, Gérard Iooss

Publication date: 14 November 2022

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-021-09986-0

zbMATH Keywords

bifurcationcenter manifold theoremimplicit function theoreminfinite-dimensional dynamical systemheteroclinic connectiondomain wall existence

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Free convection (76R10) Convection in hydrodynamic stability (76E06)

Related Items

Heteroclinic orbits for a system of amplitude equations for orthogonal domain walls

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems
• Existence of bifurcating quasipatterns in steady Bénard-Rayleigh convection
• Bifurcation of symmetric domain walls for the Bénard-Rayleigh convection problem
• Existence and nonuniqueness of rectangular solutions of the Benard problem
• Continuation and Bifurcation of Grain Boundaries in the Swift--Hohenberg Equation
• Recent Developments in Rayleigh-Bénard Convection
• Grain boundaries in the Swift–Hohenberg equation
• On the equations of steady-state convection
• Small‐amplitude grain boundaries of arbitrary angle in the Swift‐Hohenberg equation
• Stability of convection flows
• A domain-wall between single-mode and bimodal states.

This page was built for publication: Domain walls for the Bénard-Rayleigh convection problem with ``Rigid-free boundary conditions