Existence and uniqueness of solutions for the Navier-Stokes equations with hyperdissipation. (Q1399298)
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scientific article; zbMATH DE number 1956844
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and uniqueness of solutions for the Navier-Stokes equations with hyperdissipation. |
scientific article; zbMATH DE number 1956844 |
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Existence and uniqueness of solutions for the Navier-Stokes equations with hyperdissipation. (English)
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30 July 2003
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The author examines non-stationary two-dimensional incompressible Navier-Stokes equations with hyperdissipation with periodic spatial boundary conditions (i.e. on a two-dimensional torus). Using Riesz transform, Littlewood-Paley theory and Fourier series, existence and uniqueness of strong solutions are proved in a special separable Banach space adapted to the above equations.
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Riesz transform
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Littlewood-Paley theory
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Fourier series
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strong solutions
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two-dimensional incompressible Navier-Stokes equations
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