Spontaneous formation of travelling localized structures and their asymptotic behaviour in binary fluid convection

DOI10.1017/JFM.2012.413zbMath1275.76095OpenAlexW2051945183MaRDI QIDQ2863481

Takeshi Watanabe, Makoto Iima, Yasumasa Nishiura

Publication date: 21 November 2013

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

Full work available at URL: https://doi.org/10.1017/jfm.2012.413

zbMATH Keywords

bifurcationdouble diffusive convectionabsolute/convective instability

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Spectral methods applied to problems in fluid mechanics (76M22) Convection in hydrodynamic stability (76E06)

Related Items (11)

Toward Understanding Global Flow Structure ⋮ Arbitrarily weak head-on collision can induce annihilation: the role of hidden instabilities ⋮ Toward Convectons in the Supercritical Regime: Homoclinic Snaking in Natural Doubly Diffusive Convection ⋮ Matched asymptotic expansion approach to pulse dynamics for a three-component reaction-diffusion system ⋮ Travelling convectons in binary fluid convection ⋮ A Skeleton of Collision Dynamics: Hierarchical Network Structure among Even-Symmetric Steady Pulses in Binary Fluid Convection ⋮ Three-dimensional doubly diffusive convectons: instability and transition to complex dynamics ⋮ Traveling pulses with oscillatory tails, figure-eight-like stack of isolas, and dynamics in heterogeneous media ⋮ Continuation of Bifurcations of Periodic Orbits for Large-Scale Systems ⋮ Near-onset dynamics in natural doubly diffusive convection ⋮ Phase description of oscillatory convection with a spatially translational mode

Cites Work

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• Unstable periodic solution controlling collision of localized convection cells in binary fluid mixture
• Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
• Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian-Hopf bifurcation
• The Soret Effect: A Review of Recent Experimental Results
• Scattering of traveling spots in dissipative systems
• Snakes, Ladders, and Isolas of Localized Patterns
• Homoclinic snaking: Structure and stability
• Localized States in an Extended Swift–Hohenberg Equation
• Spatially localized binary-fluid convection

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