Analysis of the viscous Cahn-Hilliard equation in \(\mathbb R^N\)

DOI10.1016/j.jde.2011.08.052zbMath1246.35098OpenAlexW1978081787MaRDI QIDQ656186

Tomasz Dlotko, Maria B. Kania, Chunyou Sun

Publication date: 16 January 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.08.052

zbMATH Keywords

global existencebounded absorbing set\(H\)-solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Initial value problems for nonlinear higher-order PDEs (35G25) Initial value problems for higher-order parabolic equations (35K30) Semilinear parabolic equations (35K58)

Related Items (15)

Navier–Stokes–Cahn–Hilliard system of equations ⋮ Bi-space global attractors for a class of nonclassical parabolic equations with arbitrary polynomial growth in unbounded domain ⋮ The Cahn-Hilliard/Allen-Cahn equation with inertial and proliferation terms ⋮ Exponential attractor for the Cahn-Hilliard-Oono equation in \(\mathbb{R}^N\) ⋮ Navier-Stokes equation and its fractional approximations ⋮ On the dynamics of a modified Cahn-Hilliard equation with biological applications ⋮ Optimal control of the sixth-order convective Cahn-Hilliard equation ⋮ Global well-posedness of solutions to the Cauchy problem of convective Cahn-Hilliard equation. Cauchy problem of convective Cahn-Hilliard equation ⋮ On the Cahn-Hilliard equation in \(H^1(\mathbb R^N)\) ⋮ Finite dimensionality of the attractor for the hyperbolic Cahn-Hilliard-Oono equation in R3 ⋮ Global well-posedness and temporal decay estimates to the fractional Cahn-Hilliard equation in \(\mathbb{R}^{N}\) ⋮ Attractors and asymptotic regularity for nonclassical diffusion equations in locally uniform spaces with critical exponent ⋮ On the Cauchy problem of a sixth-order Cahn–Hilliard equation arising in oil-water-surfactant mixtures ⋮ Weak solutions to the Cahn-Hilliard equation with degenerate diffusion mobility in \(\mathbb{R} ^N\) ⋮ Quasi-geostrophic equation in \(\mathbb{R}^2\)

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