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Cauchy problem for the one-dimensional compressible Navier-Stokes equations

โœ Scribed by Lian Ruxu; Liu Jian; Li Hailiang; Xiao Ling


Book ID
114192298
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
207 KB
Volume
32
Category
Article
ISSN
0252-9602

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We prove the existence of a compact attractor for the Navier-Stokes equations of compressible fluid flow in one space dimension. We also show that the large-time behavior of a given solution is entirely determined by its values for all time at a finite number of points, given in terms of a certain d