Time Optimal Control Problem of the 3D Navier-Stokes-α Equations
DOI10.1080/01630563.2022.2055062zbMath1491.35321OpenAlexW4220680304MaRDI QIDQ5080257
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Publication date: 31 May 2022
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2022.2055062
necessary optimality conditionsexistencesufficient optimality conditionstime optimal control3D Navier-Stokes-\(\alpha\) equations
Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence theories for optimal control problems involving partial differential equations (49J20) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
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- Time optimal boundary controls for the heat equation
- Data assimilation for the Navier-Stokes-\(\alpha \) equations
- Bang-bang property for time optimal control of semilinear heat equation
- On questions of decay and existence for the viscous Camassa-Holm equations
- Direct numerical simulations of the Navier-Stokes alpha model
- Compact sets in the space \(L^ p(0,T;B)\)
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- The time optimal control of Navier-Stokes equations
- Attractors for the two-dimensional Navier--Stokes-\({\alpha}\) model: an \({\alpha}\)-dependence study
- Motivation, analysis and control of the variable density Navier-Stokes equations
- Analysis and control of nonlinear infinite dimensional systems
- Global well-posedness of weak solutions for the Lagrangian averaged Navier-Stokes equations on bounded domains.
- Time optimal control of the unsteady 3D Navier-Stokes-Voigt equations
- Time optimal controls of the Fitzhugh-Nagumo equation with internal control
- On the existence of time optimal controls for linear evolution equations
- The existence of time optimal control of semilinear parabolic equations
- Bang-bang property of time optimal controls of semilinear parabolic equation
- Continuous data assimilation for the three-dimensional Navier–Stokes-α model
- Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations
- Numerical simulations of the Lagrangian averaged Navier–Stokes equations for homogeneous isotropic turbulence
- The Time Optimal Control of the Boussinesq Equations
- An integrable shallow water equation with peaked solitons
- Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains
- Decay characterization of solutions to the viscous Camassa–Holm equations
- On the Equivalence of Minimal Time and Minimal Norm Controls for Internally Controlled Heat Equations
- On time optimal control of the wave equation, its regularization and optimality system
- Time optimal control of the heat equation with pointwise control constraints
- An optimal control problem of the 3D viscous Camassa–Holm equations
- A time-optimal boundary controllability problem for the heat equation in a ball
- On convergence of trajectory attractors of the 3D Navier-Stokes-α model as α approaches 0
- Set-valued analysis
- The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory