Cauchy problem for a sixth order Cahn-Hilliard type equation with inertial term

DOI10.3934/eect.2015.4.315zbMath1339.35193OpenAlexW2527427055MaRDI QIDQ258803

Aibo Liu, Chein-Shan Liu

Publication date: 10 March 2016

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2015.4.315

zbMATH Keywords

energy estimatesglobal existenceGreen's function methodinertial termoptimal decay rate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for higher-order hyperbolic equations (35L30) Higher-order semilinear hyperbolic equations (35L76)

Related Items

Global existence and decay estimates to a coupled Cahn-Hilliard system on \(\mathbb{R}^N\) ⋮ Some properties of solutions for a sixth-order Cahn–Hilliard type equation with inertial term ⋮ Asymptotic dynamics of a sixth-order integro-differential equation ⋮ A further study on the coupled Allen-Cahn/Cahn-Hilliard equations

Cites Work

• Unnamed Item
• Optimal decay rate of solutions for Cahn-Hilliard equation with inertial term in multi-dimensions
• A sixth order Cahn-Hilliard type equation arising in oil-water-surfactant mixtures
• Existence theory and \(L^p\) estimates for the solution of nonlinear viscous wave equation
• Pointwise estimates of solutions for the Cahn-Hilliard equation with inertial term in multi-dimensions
• A note on the optimal temporal decay estimates of solutions to the Cahn-Hilliard equation
• The pointwise estimates of solutions for semilinear dissipative wave equation in multi-dimensions
• Time periodic solutions for a sixth order nonlinear parabolic equation in two space dimensions
• Optimal control for a sixth order nonlinear parabolic equation
• Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions
• On a Class of Cahn--Hilliard Models with Nonlinear Diffusion