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In this paper, we study the large time behavior of the 3-D isentropiccompressible Navier-Stokes equation in the partial space-periodic domains, andsimultaneously show that the related profile systems can be described by likeNavier-Stokes equations with suitable "pressure" functions in lower dimensions.Our proofs are based on the energy methods together with some delicate analysison the corresponding linearized problems.

Large time asymptotic behavior of the compressible Navier-Stokes Equations in partial Space-Periodic Domains