Helically symmetric solutions to the 3D Navier-Stokes equations for compressible isentropic fluids (Q818478)
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scientific article; zbMATH DE number 5013606
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Helically symmetric solutions to the 3D Navier-Stokes equations for compressible isentropic fluids |
scientific article; zbMATH DE number 5013606 |
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Helically symmetric solutions to the 3D Navier-Stokes equations for compressible isentropic fluids (English)
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20 March 2006
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The existence of global weak solutions to the Navier-Stokes equations is proved for compressible isentropic fluids for any \(\gamma > 1\) when the Cauchy data are helically symmetric. The constant \(\gamma\) is the specific heat ratio. Moreover, a new integrability estimate of the density in any neighborhood of the symmetry axis (the singularity axis) is obtained.
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existence of global weak solutions
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integrability estimate of the density
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