On a Higher Order Convective Cahn--Hilliard-Type Equation

DOI10.1137/110834123zbMath1257.35109OpenAlexW2155430897MaRDI QIDQ3143289

Piotr Rybka, Maciek D. Korzec

Publication date: 29 November 2012

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d8cbcb64220878a938f0249ea0d680cfe4342230

zbMATH Keywords

periodic boundary conditionsGalerkin approachanisotropic surface energyglobal weak solutionslong-time dynamicssixth order equationsmall-slope approximationcoarsening to roughening

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear parabolic equations (35K58) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (14)

Existence of solutions for anisotropic Cahn-Hilliard and Allen-Cahn systems in higher space dimensions ⋮ Sixth-order Cahn–Hilliard equations with singular nonlinear terms ⋮ The global solvability of a sixth order Cahn-Hilliard type equation via the Bäcklund transformation ⋮ Higher-order anisotropic models in phase separation ⋮ Convergence of Solutions to a Convective Cahn–Hilliard-Type Equation of the Sixth Order in Case of Small Deposition Rates ⋮ Asymptotic behavior of a sixth-order Cahn-Hilliard system ⋮ Higher-Order Allen–Cahn Models with Logarithmic Nonlinear Terms ⋮ On a Class of Sixth-Order Cahn--Hilliard-Type Equations with Logarithmic Potential ⋮ Optimal control of the sixth-order convective Cahn-Hilliard equation ⋮ Higher-order Cahn-Hilliard equations with dynamic boundary conditions ⋮ Sixth-order Cahn-Hilliard systems with dynamic boundary conditions ⋮ The Cahn-Hilliard equation and some of its variants ⋮ Global attractors of sixth order PDEs describing the faceting of growing surfaces ⋮ On the phase-field-crystal model with logarithmic nonlinear terms

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