### Helically Symmetric Solutions to the 3-D Navier-Stokes Equations for Compressible Isentropic Fluids

Wenjun Sun, Song Jiang, and Zhenhua Guo

Abstract: 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.

Paper:
Available as PDF (209 Kbytes).
Author(s):
Wenjun Sun, <sun_wenjun@iacpm.ac.cn>
Song Jiang, <jiang@iapcm.ac.cn>
Zhenhua Guo <guo_zhenhua@iapcm.ac.cn>
Publishing information:
To appear in JDE