Optimal control of a nonconserved phase field model of Caginalp type with thermal memory and double obstacle potential
DOI10.3934/dcdss.2022210zbMath1526.49002arXiv2207.00375OpenAlexW4313580895MaRDI QIDQ6089453
Gianni Gilardi, Pierluigi Colli, Andrea Signori, Juergen Sprekels
Publication date: 17 November 2023
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.00375
optimal controlphase field modeldouble obstacle potentialadjoint systemthermal memoryfirst-order necessary optimality conditionsdeep quench approximation
Optimality conditions for problems involving partial differential equations (49K20) Nonlinear parabolic equations (35K55) Fréchet and Gateaux differentiability in optimization (49J50) Existence theories for optimal control problems involving partial differential equations (49J20) Initial-boundary value problems for second-order parabolic systems (35K51)
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