Global stability of large solutions for the Navier-Stokes equations with Navier boundary conditions (Q1644317)
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scientific article; zbMATH DE number 6892728
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global stability of large solutions for the Navier-Stokes equations with Navier boundary conditions |
scientific article; zbMATH DE number 6892728 |
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Global stability of large solutions for the Navier-Stokes equations with Navier boundary conditions (English)
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21 June 2018
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The summary of this interesting paper provides a perfect description of the contents: ``We prove global stability of strong large solutions for the 3D incompressible Navier-Stokes equations with Navier slip boundary conditions. This result is obtained under an integrable property that depends of these slip conditions. In addition, we show that strong helical solutions are global in time. Combining the latter with the stability result, we provide a class of 3D global large solutions with perturbations of helical vector-fields as initial data.''
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Navier-Stokes equations
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slip boundary conditions
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stability
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strong solutions
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helical solutions
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