Asymptotics of solutions to the optimal control problem for time-indepentent Navier-Stokes equations (Q1395251)
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scientific article; zbMATH DE number 1940631
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotics of solutions to the optimal control problem for time-indepentent Navier-Stokes equations |
scientific article; zbMATH DE number 1940631 |
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Asymptotics of solutions to the optimal control problem for time-indepentent Navier-Stokes equations (English)
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1 July 2003
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The paper deals with an optimal boundary control problem for the Navier- Stokes equations describing a steady homogeneous inviscid incompressible flow. The total pressure on a portion \(\Gamma_1\) of the flow boundary is used as a control. The velocity components tangent to \(\Gamma_1\) are assumed to vanish on \(\Gamma_1\), and the o-slip condition is set on the remaining boundary. It is shown that the solution to this problem can be approximated by solutions to optimal control problems for the Stokes system.
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optimal boundary control problem
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Navier-Stokes equations
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inviscid incompressible flow
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pressure
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velocity
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vorticity
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extremum condition
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solution
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Stokes system
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