Solutions for a fourth-order nonlinear parabolic equation describing Marangoni convection

DOI10.1080/00036811.2015.1088521zbMath1372.35130OpenAlexW2335881365WikidataQ58291738 ScholiaQ58291738MaRDI QIDQ2825397

Ning Duan

Publication date: 7 October 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1088521

zbMATH Keywords

uniquenessglobal attractorglobal existencefourth-order nonlinear parabolic equation

Mathematics Subject Classification ID

Attractors (35B41) Nonlinear parabolic equations (35K55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order parabolic equations (35K25)

Cites Work

• Regularity of global attractor for the fourth-order reaction-diffusion equation
• Pattern selection in long-wavelength convection
• Global attractor of a modified Swift-Hohenberg equation in \(H^k\) spaces
• On the Cahn-Hilliard equation
• Hexagonal structure of large-scale Marangoni convection
• Global attractor for the Cahn-Hilliard equation in \(H^ 2\) and \(H^ 3\)
• Pattern formation in large-scale Marangoni convection with deformable interface
• Abundant semigroups with a multiplicative adequate transversal
• THE EXISTENCE OF GLOBAL ATTRACTOR FOR CONVECTIVE CAHN-HILLIARD EQUATION
• The existence of global attractor for a fourth-order parabolic equation

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