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Optimal Boundary Control of the Boussinesq Approximation for Polymeric Fluids
Journal of Optimization Theory and Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Optimal control of a stochastic delay heat equation with boundary-noise and boundary-control
International Journal of Control, 2014In this paper, a controlled stochastic delay heat equation with Neumann boundary-noise and boundary-control is considered. The existence and uniqueness of the mild solution for the associated Hamilton–Jacobi–Bellman equations are obtained by means of the backward stochastic differential equations, which is applied to the optimal control problem.
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Optimal boundary control of Kuramoto-Sivashinsky equation
2009 American Control Conference, 2009This work focuses on optimal boundary control of highly dissipative Kuramoto-Sivashinsky equation (KSE) which describes the long-wave motions of a thin film over vertical plane. A standard transformation is initially used to reformulate the original boundary control problem as an abstract boundary control problem of the KSE partial differential ...
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Boundary Control for Optimal Mixing by Stokes Flows
Applied Mathematics & Optimization, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Optimization of boundary controls of string vibrations
Russian Mathematical Surveys, 2005For a large time interval boundary controls of string vibrations are optimized in the following seven boundary-control problems: displacement control at one end (with the other end fixed or free); displacement control at both ends; elastic force control at one end (with the other end fixed or free); elastic force control at both ends; combined control (
V A Il'in, E I Moiseev
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Optimal Wentzell Boundary Control of Parabolic Equations
Applied Mathematics & Optimization, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Optimization of boundary control produced by the third boundary condition
Doklady Mathematics, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Dynamical and Control Systems, 2014
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Generation of Optimal Periodic Oscillations for the Control of Boundary Layers
SIAM Journal on Control and Optimization, 2002Summary: This paper is devoted to the optimal design problem of periodic surfaces. Solutions to elliptic partial differential equations occurring in oscillating domains exhibit boundary layer behavior, and we intend to control the first order correctors.
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Boundary optimal control of MHD flows
Applied Mathematics & Optimization, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hou, L. S., Meir, A. J.
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