Optimal distributed control for a Cahn-Hilliard-Darcy system with mass sources, unmatched viscosities and singular potential
DOI10.1051/COCV/2024041zbMATH Open1545.35099MaRDI QIDQ6582308
Maurizio Grasselli, Hao Wu, Cecilia Cavaterra, Marco Abatangelo
Publication date: 2 August 2024
Published in: European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations (Search for Journal in Brave)
optimal controlstrong solutionnecessary optimality conditionsingular potentialsufficient optimality conditionCahn-Hilliard-Darcy systemunmatched viscosities
Optimality conditions for problems involving partial differential equations (49K20) Fréchet and Gateaux differentiability in optimization (49J50) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence theories for optimal control problems involving partial differential equations (49J20) Cell movement (chemotaxis, etc.) (92C17) Other free boundary flows; Hele-Shaw flows (76D27) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Liquid-liquid two component flows (76T06)
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