On axially symmetric flows in \(\mathbb{R}^3\) (Q1806186)
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scientific article; zbMATH DE number 1356400
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On axially symmetric flows in \(\mathbb{R}^3\) |
scientific article; zbMATH DE number 1356400 |
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On axially symmetric flows in \(\mathbb{R}^3\) (English)
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1 November 1999
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The authors prove several results on existence, uniqueness and regularity of a weak solution of Navier-Stokes equations for axisymmetric fluid flows that occupy the entire three-dimensional space. Several theorems are proved by using the Banach fixed point theorem. It is also shown that, for axisymmetric and smooth data, there exists a uniquely determined axisymmetric solution of the Euler equation in the entire three-dimensional space.
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Navier-Stokes equations
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Cauchy problem
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axisymmetric flows
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existence, uniqueness and regularity of a weak solution
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