Well-posedness and optimal control for a viscous Cahn-Hilliard-Oono system with dynamic boundary conditions
DOI10.3934/dcdss.2023127arXiv2309.09053OpenAlexW4382776421MaRDI QIDQ6189964
Andrea Signori, Gianni Gilardi, Elisabetta Rocca
Publication date: 5 February 2024
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2309.09053
optimal controlwell-posednessdynamic boundary conditionsCahn-Hilliard-Oono equationbulk-surface mass dynamics
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) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Initial-boundary value problems for second-order parabolic systems (35K51)
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