Approximate controllability for Navier-Stokes equations in \(\mathrm{3D}\) cylinders under Lions boundary conditions by an explicit saturating set (Q2062161)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximate controllability for Navier-Stokes equations in \(\mathrm{3D}\) cylinders under Lions boundary conditions by an explicit saturating set |
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Approximate controllability for Navier-Stokes equations in \(\mathrm{3D}\) cylinders under Lions boundary conditions by an explicit saturating set (English)
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24 December 2021
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In this article, author has discussed an explicit saturating set consisting of eigen-functions of Stokes operator in 3D cylinders using Lion's boundary conditions for the Navier-Stoke equation. Author claimed that the existence of saturating sets itseld implies the approximate controllability for Navier-Stokes equation in 3D cylinders. Final remark in the form of the conclusion is very useful for the future work.
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Navier Stokes equations
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control theory
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saturating sets
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