Convectons, anticonvectons and multiconvectons in binary fluid convection

DOI10.1017/S0022112010004623zbMath1225.76107MaRDI QIDQ3097663

Edgar Knoblauch, Isabel Mercader, Oriol Batiste, Arantxa Alonso

Publication date: 10 November 2011

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

zbMATH Keywords

bifurcationdouble diffusive convectionbuoyancy-driven instability

Mathematics Subject Classification ID

Convection in hydrodynamic stability (76E06)

Related Items

The interaction of multiple bubbles in a Hele-Shaw channel ⋮ Toward Convectons in the Supercritical Regime: Homoclinic Snaking in Natural Doubly Diffusive Convection ⋮ Adaptive Stokes Preconditioning for Steady Incompressible Flows ⋮ Three-dimensional spatially localized binary-fluid convection in a porous medium ⋮ Travelling convectons in binary fluid convection ⋮ Magnetohydrodynamic convectons ⋮ Three-dimensional doubly diffusive convectons: instability and transition to complex dynamics ⋮ Dynamics of spatially localized states in transitional plane Couette flow ⋮ Exact solutions of the cubic–quintic Swift–Hohenberg equation and their bifurcations ⋮ Spatially localized structures in the Gray–Scott model ⋮ A New Resonance Mechanism in the Swift--Hohenberg Equation with Time-Periodic Forcing ⋮ Effects of quenched disorder on critical transitions in pattern-forming systems ⋮ An Analysis of the Blended Three-Step Backward Differentiation Formula Time-Stepping Scheme for the Navier-Stokes-Type System Related to Soret Convection ⋮ Near-onset dynamics in natural doubly diffusive convection

Cites Work

• Snakes and ladders: localized states in the Swift-Hohenberg equation
• Cellular buckling in long structures
• Spatially complex localisation in twisted elastic rods constrained to a cylinder
• Continuation of travelling-wave solutions of the Navier–Stokes equations
• Simulations of oscillatory convection in He3–He4 mixtures in moderate aspect ratio containers
• Convectons in periodic and bounded domains
• Snakes, Ladders, and Isolas of Localized Patterns
• Homoclinic snaking: Structure and stability
• Modulated and Localized States in a Finite Domain
• Spatially localized states in natural doubly diffusive convection
• Spatially localized binary-fluid convection
• Magnetohydrodynamic convectons
• Three-dimensional magnetohydrodynamic convectons