Unstable periodic solution controlling collision of localized convection cells in binary fluid mixture

DOI10.1016/J.PHYSD.2008.11.010zbMath1167.37043OpenAlexW2023989809MaRDI QIDQ1008648

Yasumasa Nishiura, Makoto Iima

Publication date: 30 March 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2008.11.010

zbMATH Keywords

Ginzburg-Landau equationdissipative systemsbinary fluidpulse collision

Mathematics Subject Classification ID

Feedback control (93B52) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Navier-Stokes equations (35Q30) Dynamical systems in control (37N35)

Related Items (4)

Toward Understanding Global Flow Structure ⋮ Travelling convectons in binary fluid convection ⋮ Traveling pulses with oscillatory tails, figure-eight-like stack of isolas, and dynamics in heterogeneous media ⋮ Spontaneous formation of travelling localized structures and their asymptotic behaviour in binary fluid convection

Cites Work

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• Ginzburg-Landau equation coupled to a concentration field in binary- mixture convection
• Solitary waves under the influence of a long-wave mode
• Spatial and temporal feedback control of traveling wave solutions of the two-dimensional complex Ginzburg-Landau equation
• Periodic motion embedded in plane Couette turbulence: regeneration cycle and burst
• Scattering of traveling spots in dissipative systems
• A periodic-like solution in channel flow
• Pattern formation outside of equilibrium
• Spatially localized binary-fluid convection
• Amplitude equations for travelling wave convection

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