Optimal Control of Nonlinear Transport-Flow Mixed Variational Problems

DOI10.1080/01630563.2014.976797zbMath1319.35279OpenAlexW1971340507MaRDI QIDQ5251589

Gonzalo Alduncin

Publication date: 20 May 2015

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2014.976797

zbMATH Keywords

constrained optimal controlcomposition duality methodsduality principlesset-valued variational analysisevolution mixed variational inclusionsperturbation conjugate duality methodsproximation penalty-duality algorithmsmixed variational nonlinear transport-flow

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Control/observation systems governed by partial differential equations (93C20) Monotone operators and generalizations (47H05) Nonlinear parabolic equations (35K55) Variational methods applied to PDEs (35A15) Duality theory (optimization) (49N15) PDEs in connection with control and optimization (35Q93)

Related Items (3)

Optimal control of elastoviscoplastic macro-hybrid mixed variational problems ⋮ Proximal penalty-duality algorithms for mixed optimality conditions ⋮ Multidomain optimal control of variational subpotential mixed evolution inclusions

Cites Work

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• Composition duality methods for mixed variational inclusions
• Variational formulations of nonlinear constrained boundary value problems
• Nonsmooth analysis
• Subdifferential and variational formulations of boundary value problems
• Evolution hemivariational inequalities in infinite dimension and their control.
• An introduction to continuum mechanics
• Optimal control of evolution mixed variational inclusions
• Composition duality principles for evolution mixed variational inclusions
• Finite Element Methods for Navier-Stokes Equations

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