Bi-objective optimal control of some PDEs: Nash equilibria and quasi-equilibria

DOI10.1051/cocv/2021050zbMath1468.35109OpenAlexW3160640453WikidataQ114105723 ScholiaQ114105723MaRDI QIDQ4999569

Enrique Fernández-Cara, Irene Marín-Gayte

Publication date: 7 July 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2021050

zbMATH Keywords

optimal controlNavier-Stokes equationsNash equilibriaelliptic PDEsDubovitskii-Milyutin formalismbi-objective problems

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

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