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Global existence of solutions with large, discontinuous initial data for the Navier-Stokes equations for compressible fluid flows

Posted on:2005-09-03Degree:Ph.DType:Dissertation
University:Northwestern UniversityCandidate:Perepelitsa, MikhailFull Text:PDF
GTID:1450390008998892Subject:Mathematics
Abstract/Summary:
We study the Cauchy problem with periodic initial data for two dimensional Navier-Stokes equations of compressible fluid flows. We assume that the bulk viscosity coefficient that appears in Navier-Stokes equations depends on the density of the flow. The global existence of solutions with uniform bounds on density is proved when initial data are from the class L infinity ( T2 ) x [W1,2 ( T2 )]2, where Tn=R n/Zn .
Keywords/Search Tags:Initial data, Navier-stokes equations
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