Distributed optimal control of a nonstandard system of phase field equations (Articolo in rivista)

Type
Label
  • Distributed optimal control of a nonstandard system of phase field equations (Articolo in rivista) (literal)
Anno
  • 2012-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1007/s00161-011-0215-8 (literal)
Alternative label
  • Pierluigi Colli; Gianni Gilardi; Paolo Podio-Guidugli; Jürgen Sprekels (2012)
    Distributed optimal control of a nonstandard system of phase field equations
    in Continuum mechanics and thermodynamics (Print); Springer-Verlag, Berlin (Germania)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Pierluigi Colli; Gianni Gilardi; Paolo Podio-Guidugli; Jürgen Sprekels (literal)
Pagina inizio
  • 437 (literal)
Pagina fine
  • 459 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#altreInformazioni
  • Special Issue: Trends in Thermodynamics and Materials Theory, Symposium in honor of Prof. Dr.Dr.hc.em. Ingo Müller on the occasion of his 75th birthday, Berlin, December 2011 Issue Editors: O. Kastner, Wolfgang H. Müller, Stefan Seelecke, Henning Struchtrup, Manuel Torrilhon, Wolf Weiss (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://link.springer.com/article/10.1007/s00161-011-0215-8 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 24 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#volumeInCollana
  • 24 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 4-6 (literal)
Note
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Dipartimento di Matematica F. Casorati, Universitá di Pavia, Via Ferrata, 1, 27100 Pavia, Italy; Dipartimento di Ingegneria Civile, Universitá di Roma Tor Vergata, Via del Politecnico, 1, 00133 Rome, Italy; Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117 Berlin, Germany (literal)
Titolo
  • Distributed optimal control of a nonstandard system of phase field equations (literal)
Abstract
  • We investigate a distributed optimal control problem for a phase field model of Cahn-Hilliard type. The model describes two-species phase segregation on an atomic lattice under the presence of diffusion; it has been introduced recently in Colli et al. (SIAM J Appl Math), on the basis of the theory developed in Podio-Guidugli (Ric. Mat. 55:105-118, 2006), and consists of a system of two highly nonlinearly coupled PDEs. For this reason, standard arguments of optimal control theory do not apply directly, although the control constraints and the cost functional are of standard type. We show that the problem admits a solution, and we derive the first-order necessary conditions of optimality. (literal)
Editore
Prodotto di
Autore CNR
Insieme di parole chiave

Incoming links:


Prodotto
Autore CNR di
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi
Editore di
Insieme di parole chiave di
data.CNR.it