Global regularity for the Navier-Stokes equations with some classes of large initial data (Q638837)
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scientific article; zbMATH DE number 5947663
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global regularity for the Navier-Stokes equations with some classes of large initial data |
scientific article; zbMATH DE number 5947663 |
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Global regularity for the Navier-Stokes equations with some classes of large initial data (English)
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15 September 2011
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This is an excellent survey article. Its aim is to study the case where the fluid evolves in the whole space \(\mathbb R^3\). The authors overcome the difficulties coming from very low horizontal frequencies. They consider an intermediate situation between the well prepared case and ill prepared situation. The proof uses the analytical-type estimates and the special structure of the nonlinear term of the equation.
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Navier-Stokes equations
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global well-posedness
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low horizontal frequencies
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