A Control Method for Assimilation of Surface Data in a Linearized Navier--Stokes-Type Problem Related to Oceanography

DOI10.1137/S0363012995286137zbMath0888.35078OpenAlexW1969201817MaRDI QIDQ4377421

Publication date: 9 February 1998

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0363012995286137

zbMATH Keywords

optimal control oceanography minimizing sequences assimilation of surface data linearized Navier-Stokes problem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Navier-Stokes equations for incompressible viscous fluids (76D05) Inverse problems in geophysics (86A22) General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30) Numerical solutions to equations with linear operators (65J10) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (10)

Second-order optimality conditions for optimal control of the primitive equations of the ocean with periodic inputs ⋮ Numerical solutions of a robust control problem associated with the quasi-geostrophic equation of the ocean ⋮ Maximum principle of optimal control of the primitive equations of the ocean with two point boundary state constraint ⋮ Mathematical Analysis and Optimal Control Problems for the Perturbation of the Primitive Equations of the Ocean with Vertical Viscosity ⋮ Optimal control of the primitive equations of the ocean with state constraints ⋮ Open boundary control problem for Navier-Stokes equations including a free surface: data assimilation ⋮ Pontryagin's maximum principle for optimal control of the stationary primitive equations of the ocean ⋮ Maximum Principle of Optimal Control of the Primitive Equations of the Ocean With State Constraint ⋮ Robin-type boundary control problems for the nonlinear Boussinesq type equations ⋮ A nonlinear optimal control problem for assimilation of surface data in navier-stokestype equations related to oceanography

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