Distributed optimal control of a nonstandard system of phase field equations

DOI10.1007/s00161-011-0215-8zbMath1260.49031arXiv1106.3668OpenAlexW2030028092MaRDI QIDQ1939379

Pierluigi Colli, Paolo Podio-Guidugli, Juergen Sprekels, Gianni Gilardi

Publication date: 4 March 2013

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.3668

zbMATH Keywords

variational inequalitydissipation inequalityapproximationCahn-Hilliard systema-priori estimatesdistributed optimal controlfirst-order necessary optimality conditionsadjoint state equationnonlinear phase field systemscontinuous Sobolev embeddingsstate systemtensor-valued mapping

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear parabolic equations (35K55) Thermodynamics in solid mechanics (74A15)

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