An optimal control problem for the Navier-Stokes equations with point sources

DOI10.1007/s10957-022-02148-2OpenAlexW4313240863MaRDI QIDQ2696957

Enrique Otárola, Daniel Quero, Francisco Fuica, Felipe Lepe

Publication date: 17 April 2023

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.15061

zbMATH Keywords

Navier-Stokes equationsMuckenhoupt weightsoptimal control problemsDirac measuresfirst- and second-order optimality conditions

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Variational methods applied to PDEs (35A15) Navier-Stokes equations (35Q30) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs with measure (35R06) PDE constrained optimization (numerical aspects) (49M41)

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