Please use this identifier to cite or link to this item:
https://oar.tib.eu/jspui/handle/123456789/2140Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| 528694812.pdf | 254,4 kB | Adobe PDF | View/Open |
| Title: | Optimal boundary control of a phase field system modeling nonisothermal phase transitions |
| Authors: | Lefter, Catalin; Sprekels, Jürgen |
| Issue Date: | 2006 |
| Published in: | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik, Volume 1187, ISSN 0946-8633 |
| Publisher: | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik |
| Abstract: | In this paper, we study an optimal control problem for a singular system of partial differential equations that models a nonisothermal phase transition with a nonconserved order parameter. The control acts through a third boundary condition for the absolute temperature and plays the role of the outside temperature. It is shown that the corresponding control-to-state mapping is well defined, and the existence of an optimal control and the first-order optimality conditions for a quadratic cost functional of Bolza type are established. |
| DDC: | 510 |
| License: | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. |
| Appears in Collections: | Mathematik |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.