Control problems for the Navier-Stokes system with nonlocal spatial terms

Control/observation systems governed by partial differential equations (93C20) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Flow control and optimization for incompressible viscous fluids (76D55)

Cites Work

Insensitizing controls with one vanishing component for the Navier-Stokes system
Local null controllability of the three-dimensional Navier-Stokes system with a distributed control having two vanishing components
Null controllability of the \(N\)-dimensional Stokes system with \(N - 1\) scalar controls
Positive and negative results on the internal controllability of parabolic equations coupled by zero- and first-order terms
Local controllability to stationary trajectories of a Burgers equation with nonlocal viscosity
Internal controllability for parabolic systems involving analytic non-local terms
Local exact controllability of the Navier-Stokes system
Local controllability of the \(N\)-dimensional Boussinesq system with \(N - 1\) scalar controls in an arbitrary control domain
Local null controllability of the \(N\)-dimensional Navier-Stokes system with \(N - 1\) scalar controls in an arbitrary control domain
Controllability to trajectories of a Ladyzhenskaya model for a viscous incompressible fluid
Local controllability of the one-dimensional nonlocal Gray-Scott model with moving controls
Local null-controllability of a nonlocal semilinear heat equation
Exact controllability for nonlocal and nonlinear hyperbolic PDEs
Exact controllability to the trajectories for parabolic PDEs with nonlocal nonlinearities
Integral-type approximate controllability of linear parabolic integro-differential equations
Identification of the class of initial data for the insensitizing control of the heat equation
Null Controllability of Linear Heat and Wave Equations with Nonlocal Spatial Terms
Null controllability of the heat equation with boundary Fourier conditions: the linear case
Some Controllability Results forthe N-Dimensional Navier--Stokes and Boussinesq systems with N-1 scalar controls
Local null controllability of a model system for strong interaction between internal solitary waves
Insensitizing controls with two vanishing components for the three-dimensional Boussinesq system
Null Controllability of Linear and Semilinear Nonlocal Heat Equations with an Additive Integral Kernel
Global Carleman Inequalities for Parabolic Systems and Applications to Controllability
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