Helically Symmetric Solutions to the 3-D Navier-Stokes Equations for Compressible Isentropic Fluids
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چکیده
Abstract: We prove the existence of global weak solutions to the Navier-Stokes equations for compressible isentropic fluids for any γ > 1 when the Cauchy data are helically symmetric, where the constant γ 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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تاریخ انتشار 2005