Local bifurcations in the Cahn-Hilliard and Kuramoto-Sivashinsky equations and in their generalizations

DOI10.1134/S0965542519040080zbMath1430.35021OpenAlexW2950585507WikidataQ127681767 ScholiaQ127681767MaRDI QIDQ2332652

D. A. Kulikov, Anatoly Kulikov

Publication date: 4 November 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542519040080

zbMATH Keywords

asymptotic formulasnonlinear evolution equationperiodic boundary value problemspatially homogeneous equilibrium states

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Stability in context of PDEs (35B35) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Semilinear parabolic equations (35K58)

Related Items (8)

\(H^1\) solutions for a Kuramoto-Sinelshchikov-Cahn-Hilliard type equation ⋮ Local bifurcations of invariant manifolds of the Cahn-Hilliard-Oono equation ⋮ Local attractors of one of the original versions of the Kuramoto-Sivashinsky equation ⋮ Local Bifurcations in the Generalized Cahn-Hilliard Equation ⋮ Well-posedness of the classical solution for the Kuramto-Sivashinsky equation with anisotropy effects ⋮ Bifurcations of invariant manifolds of the convective Cahn-Hilliard equation ⋮ Cahn-Hilliard equation with two spatial variables. Pattern formation ⋮ Analysis of Keynes's mathematical model-effect of spatial factors

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