Buffer phenomenon in the spatially one-dimensional Swift-Hohenberg equation

DOI10.1134/S0081543810010116zbMath1203.35021OpenAlexW2058651162WikidataQ59448505 ScholiaQ59448505MaRDI QIDQ600718

E. F. Mishchenko, A. Yu. Kolesov, N. Kh. Rozov

Publication date: 1 November 2010

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543810010116

zbMATH Keywords

periodic boundary conditionshomogeneous Neumann boundary conditionsfourth-order equationcelluarityfluctuating chaosmany coexisting stable stationary statesmaximum amplitude principle

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Bifurcations in context of PDEs (35B32) Semilinear parabolic equations (35K58)

Cites Work

• On radial solutions of the Swift-Hohenberg equation
• Advanced synergetics. Instability hierarchies of self-organizing systems and devices
• Stability of Spatially Periodic Supercritical Flows in Hydrodynamics
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