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Mathematics
We study the Cauchy problem for two dimensional Navier-Stokes equations of compressible fluid flows with periodic initial data. We assume that the bulk viscosity coefficient grows like a power function of the density of the flow. The global existence of a weak solution with uniform lower and upper bounds on density, as well as the decay of the solution to a constant state is proved when initial datum, $( ho_0,,u_0),$ does not contain vacuum and belongs to the space $L^inftyleft(T ight) imes left[ W^{1,2}left(T ight) ight]^2,$ where $mathbb{T}^2=mathbb{R}^2/mathbb{Z}^2.$
Note. Abstracts are published in author's edition
Last update: 06-Jul-2012 (11:52:45)