A boundary control problem for stochastic 2D-Navier-Stokes equations (Q6644262)
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scientific article; zbMATH DE number 7950133
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A boundary control problem for stochastic 2D-Navier-Stokes equations |
scientific article; zbMATH DE number 7950133 |
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A boundary control problem for stochastic 2D-Navier-Stokes equations (English)
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27 November 2024
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The Navier-Stokes equations with random forces are considered in two-dimensional bounded domains. The control is exerted at the boundary through the physical non-homogeneous Navier-slip boundary conditions. The existence and uniqueness of the solution to the stochastic state equation is proved and the existence of an optimal control is established.
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2D-Navier-Stokes equations
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multiplicative Gaussian noise
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Navier-slip boundary condition
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optimal control
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