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