Preprint 2001-005

Axisymmetric Solutions of the 3-D Navier-Stokes Equations for Compressible Isentropic Fluids

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 axisymmetric, where $\gamma$ is the specific heat ratio. Moreover, we obtain a new integrability estimate of the density in any neighborhood of the symmetric axis (the singularity axis).

Paper:

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Author(s):

S. Jiang, <jiang@mail.iapcm.ac.cn>

P. Zhang, <zp@math03.math.ac.cn>

Publishing information:

Comments:

Submitted by:

<jiang@mail.iapcm.ac.cn> February 5 2001.