A nonlinear optimal control problem for assimilation of surface data in navier-stokestype equations related to oceanography

DOI10.1080/01630569908816878zbMath0921.49014OpenAlexW2015720907MaRDI QIDQ4239754

Aziz Belmiloudi

Publication date: 15 September 1999

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

Full work available at URL: https://doi.org/10.1080/01630569908816878

zbMATH Keywords

boundary controlNavier-Stokes equationsoptimal control of fluid flow

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrology, hydrography, oceanography (86A05) Navier-Stokes equations (35Q30)

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Mathematical Analysis and Optimal Control Problems for the Perturbation of the Primitive Equations of the Ocean with Vertical Viscosity ⋮ Robin-type boundary control problems for the nonlinear Boussinesq type equations

Cites Work

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• Existence of optimal controls for viscous flow problems
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• A Control Method for Assimilation of Surface Data in a Linearized Navier--Stokes-Type Problem Related to Oceanography
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II