Optimal control for multi-phase fluid Stokes problems,10.1016/j.na.2010.09.014,Nonlinear Analysis-theory Methods & Applications,Karl Kunisch,Xiliang L

Optimal control for multi-phase fluid Stokes problems


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Optimal control for a system consistent of the viscosity dependent Stokes equations coupled with a transport equation for the viscosity is studied. Motivated by a lack of sufficient regularity of the adjoint equations, artificial diffusion is introduced to the transport equation. The asymptotic behavior of the regularized system is investigated. Optimality conditions for the regularized optimal control problems are obtained and again the asymptotic behavior is analyzed. The lack of uniqueness of solutions to the underlying system is another source of difficulties for the problem under investigation.

Journal: Nonlinear Analysis-theory Methods & Applications - NONLINEAR ANAL-THEOR METH APP , vol. 74, no. 2, pp. 585-599, 2011

DOI: 10.1016/j.na.2010.09.014

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Keywords (8)

Optimal control for multi-phase fluid Stokes problems,10.1016/j.na.2010.09.014,Nonlinear Analysis-theory Methods & Applications,Karl Kunisch,Xiliang L

References (13)

Analysis and Control of Nonlinear In nite Dimensional Systems (Citations: 152)

Nonlinearity and Functional Analysis (Citations: 318)

First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems (Citations: 108)

An Existence Theorem for the Multifluid Navier-Stokes Problem (Citations: 19)

Principles of mathematical analysis (Citations: 1458)


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