Optimal control problem for phase-field equations with nonlinear dynamic boundary conditions

Authors
Aiki, T Kadoya, A Sato, N
Citation
T. Aiki et al., Optimal control problem for phase-field equations with nonlinear dynamic boundary conditions, NONLIN ANAL, 47(5), 2001, pp. 3183-3194
Citations number
6
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
5
Year of publication
2001
Part
5
Pages
3183 - 3194
Database
ISI
SICI code
0362-546X(200108)47:5<3183:OCPFPE>2.0.ZU;2-#
Abstract
We consider the optimal control problem for phase-field equations with dyna mic boundary conditions. The purposes of this paper are to find heat source s on the domain and the boundary which attain the minimum value for some ty pical nonlinear cost function, and to prove that by using the descent metho d we can find the local minimum solution for the optimal problem. In the la st section some graphs obtained by numerical simulation are shown.