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Macro-Hybrid Dual Optimal Control of Transport Flow Through Elastoviscoplastic Porous Media

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Abstract

Macro-hybrid multidomain optimal control of dual evolution mixed variational transport flow processes through elastoviscoplastic porous media, with intrinsic control mechanisms, are formulated and analyzed as evolutionary mixed subpotential maximal monotone variational inclusions. Existence results for the state systems as well as optimality conditions are established in reflexive Banach real functional frameworks via resolvent fixed point characterizations. Macro-hybrid mixed variational optimality conditions, as well as primal, dual and Lagrangean mixed optimization results are determined, applying perturbation conjugate duality methods, recently developed by the author.

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  1. Instituto de Geofísica, Universidad Nacional Autónoma de México, Mexico City, Mexico

    Gonzalo Alduncin

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  1. Gonzalo Alduncin
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Alduncin, G. Macro-Hybrid Dual Optimal Control of Transport Flow Through Elastoviscoplastic Porous Media. Acta Appl Math 178, 9 (2022). https://doi.org/10.1007/s10440-022-00483-0

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