Domain structures in fourth-order phase and Ginzburg-Landau equations

DOI10.1016/0167-2789(94)00218-FzbMath0899.76301arXivpatt-sol/9402003MaRDI QIDQ1346876

David Raitt, Hermann Riecke

Publication date: 27 March 1995

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

Full work available at URL: https://arxiv.org/abs/patt-sol/9402003

zbMATH Keywords

stabilityexistencepattern-forming systemsphase equationcritical wave numbersspatially oscillatory interaction domain wallssteady bifurcationzig-zags in two-dimensional systems

Mathematics Subject Classification ID

Time-dependent statistical mechanics (dynamic and nonequilibrium) (82C99) Applications to the sciences (65Z05) Basic methods in fluid mechanics (76M99)

Related Items (5)

Domain structures in fourth-order phase and Ginzburg-Landau equations ⋮ Bound pairs of fronts in a real Ginzburg-Landau equation coupled to a mean field ⋮ Solitary waves under the influence of a long-wave mode ⋮ Stability on time-dependent domains ⋮ Interfacial pattern selection in defiance of linear growth

Cites Work

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• Bifurcation analysis of the Eckhaus instability
• Drifting vortices in ramped Taylor vortex flow: Quantitative results from phase equation
• Patterns of Propagating Pulses
• Pattern formation outside of equilibrium
• Distant side-walls cause slow amplitude modulation of cellular convection

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