Corrections of the Eckhaus' stability criterion for one-dimensional stationary structures

DOI10.1016/0167-2789(89)90239-XzbMath0664.76052OpenAlexW2007565757MaRDI QIDQ1115710

Boris A. Malomed, I. E. Starosel'skij, Alexander B. Konstantinov

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90239-x

zbMATH Keywords

Swift-Hohenberg equationsmall perturbationsweak instabilityTaylor vorticesEckhaus' stability criterionnon-universal correctionssmall-amplitude nonlinear structuresspatially uniform state of a non-equilibrium one-dimensional system

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• Weak turbulence in periodic flows
• Bifurcations in distributed kinetic systems with aperiodic instability
• Large Cells in Nonlinear Rayleigh-Benard Convection
• On Flame Propagation Under Conditions of Stoichiometry
• The chemical basis of morphogenesis
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