Preprint Large time behavior of solutions to the compressible Navier-Stokes equations in an infinite layer under slip boundary condition

Aihaiti, Abulizi  ,  Enomoto, Shota  ,  Kagei, Yoshiyuki

20162016-05-21 , Faculty of Mathematics, Kyushu University
Description
This paper is concerned with large time behavior of solutions to the compressible Navier-Stokes equations in an infinite layer of R^2 under slip boundary condition. It is shown that if the initial data is sufficiently small, the global solution uniquely exists and the large time behavior of the solution is described by a superposition of one- dimensional diffusion waves.
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http://catalog.lib.kyushu-u.ac.jp/handle/2324/1661897/MI2016-8.pdf

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