Helically Symmetric Solutions to the 3-D Navier-Stokes Equations for
Compressible Isentropic Fluids
Wenjun Sun, Song Jiang, and Zhenhua Guo
We prove the existence of global weak solutions to the Navier-Stokes equations
for compressible isentropic fluids for any $\gamma >1$ when the Cauchy data
are helically symmetric, where 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.
- Available as
PDF (209 Kbytes).
- Wenjun Sun,
- Song Jiang,
- Zhenhua Guo
- Publishing information:
- To appear in JDE
- Submitted by:
June 15 2005.
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