The authors prove existence of optimal controls for a 2D ternary mixture model with evaporation and derive first-order necessary optimality conditions using the adjoint system.
Tr¨ oltzsch.Optimal Control of Partial Differential Equations: Theory, Methods, and Applications, volume 112
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Optimal control problem for a nonlinear nonlocal evolution system describing an interacting ternary mixture with an evaporating component: 2D case with bulk evaporation
The authors prove existence of optimal controls for a 2D ternary mixture model with evaporation and derive first-order necessary optimality conditions using the adjoint system.