Applicable Analysis · 2011 · 50 citations · 24 references
Natural SciencesMathematicsDynamical SystemsFluid DynamicsOptimizationBoundary ConditionsBoundary LayersBoundary-value ProblemsControl TheoryOptimal ControlPartial Differential EquationsCahn-hilliard EquationNonlinear Optimal ControlOptimal Control Existence TheoremsOptimal Control FormulationOptimal Control In MechanicsOptimal Control Of Nonlinear SystemsOptimality Conditions
This article studies the problem for optimal control of the convective Cahn–Hilliard equation in one-space dimension. The optimal control under boundary condition is given, the existence of optimal solution to the equation is proved and the optimality system is established.
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Coarsening dynamics of the convective Cahn-Hilliard equation
Stephen J. Watson, Félix Otto, Boris Rubinstein et al. · Physica D Nonlinear Phenomena · 2003 · 119 citations