Optimal control problem for viscous Cahn–Hilliard equation

Optimal control problem for viscous Cahn–Hilliard equation

This paper is concerned with the viscous Cahn–Hilliard equation, which arises in the dynamics of viscous first order phase transitions in cooling binary solutions. The optimal control under boundary condition is given and the existence of optimal solution to the equation is proved.

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Veröffentlicht in:Nonlinear analysis 2011-12, Vol.74 (17), p.6348-6357
Hauptverfasser: Zhao, Xiaopeng, Liu, Changchun
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Calculus of variations and optimal control
Cooling
Exact sciences and technology
Mathematical analysis
Mathematics
Nonlinear dynamics
Nonlinearity
Optimal control
Optimal solution
Optimization
Phase transformations
Sciences and techniques of general use
Viscous Cahn–Hilliard equation
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Zusammenfassung:This paper is concerned with the viscous Cahn–Hilliard equation, which arises in the dynamics of viscous first order phase transitions in cooling binary solutions. The optimal control under boundary condition is given and the existence of optimal solution to the equation is proved.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2011.06.015