Optimal control problem for a sixth-order Cahn-Hilliard equation with nonlinear diffusion

In this article, we study the initial-boundary-value problem for a sixth-order Cahn-Hilliard type equation $$displaylines{ u_t=D^2mu, cr mu=gamma D^4u-a(u)D^2u-frac{a'(u)}2|D u|^2+f(u)+ku_t, }$$ which describes the separation properties of oil-water mixtures, when a substance enforcing t...

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Bibliographic Details
Main Authors: Changchun Liu, Zhao Wang
Format: Article
Language:English
Published: Texas State University 2012-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/127/abstr.html