Global well-posedness of 3-D inhomogeneous Navier-Stokes system with ill-prepared initial data (Q1709564)
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scientific article; zbMATH DE number 6856510
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global well-posedness of 3-D inhomogeneous Navier-Stokes system with ill-prepared initial data |
scientific article; zbMATH DE number 6856510 |
Statements
Global well-posedness of 3-D inhomogeneous Navier-Stokes system with ill-prepared initial data (English)
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5 April 2018
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The authors investigate the global well-posedness of three-dimensional incompressible inhomogeneous Navier-Stokes system \(\partial_t a +u\cdot \nabla a=0\), \(\partial_t u +u\cdot \nabla u+(1+a) (\nabla p-\Delta u)=0\), \(div\; u=0\) in \(\mathbb R^3\) with the special ill-prepared initial data. The case \(a=0\) corresponds to the classical Navier-Stokes equations.
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inhomogeneous Navier-Stokes system
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well-posedness
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0.8888179063796997
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0.8701203465461731
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0.8646061420440674
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0.8574039340019226
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0.8569968342781067
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