Optimal Control of Mean Field Models for Phase Transitions
Herausgeber Sammlung:
Troch, Inge; Breitenecker, Felix
Titel Konferenzpublikation:
IFAC Mathematical Modelling - 7th Vienna International Conference on Mathematical Modelling 2012
Veranstalter (Körperschaft):
International Federation of Automatic Control (IFAC)
Konferenztitel:
Vienna International Conference on Mathematical Modelling (7., 2012, Wien)
Konferenztitel:
MATHMOD 2012
Tagungsort:
Wien, Österreich
Jahr der Konferenz:
2012
Datum Beginn der Konferenz:
14.02.2012
Datum Ende der Konferenz:
17.02.2012
Verlegende Institution:
IFAC
Jahr:
2013
Seiten von - bis:
1107-1111
Sprache:
Englisch
Stichwörter:
optimal control,process control,nonlinear control systems,end point control,partial differential equations,characteristic curves,differential algebraic equations (DAE) mathematical models,phase transition,LSW equation
Abstract:
Various models prescribe precipitation due to phase transitions. On a macroscopic level the well-known Lifshitz-Slyozov-Wagner (LSW) models and its discrete analogons, so-called mean field models, prescribe the size evolution of precipitates for two-phase systems. For industrial tasks it is desirable to control the resulting distribution of droplet volume. While there are optimal control results for phase-field models and for nonlinear hyperbolic conservation laws, it seems that control problems for LSW equations and mean field models, including measure-valued solutions or switching conditions, have not been considered so far. We formulate the model for this important new control problem and present first numerical results. «
Various models prescribe precipitation due to phase transitions. On a macroscopic level the well-known Lifshitz-Slyozov-Wagner (LSW) models and its discrete analogons, so-called mean field models, prescribe the size evolution of precipitates for two-phase systems. For industrial tasks it is desirable to control the resulting distribution of droplet volume. While there are optimal control results for phase-field models and for nonlinear hyperbolic conservation laws, it seems that control problems... »