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arXiv · 1409.0708

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

Yin Huicheng·Zhang Lin·Zhu Lu
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Abstract

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

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Yin Huicheng, Zhang Lin, Zhu Lu. 2014-09-02. Large time asymptotic behavior of the compressible Navier-Stokes Equations in partial Space-Periodic Domains. https://arxiv.org/abs/1409.0708

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