LARGE TIME ASYMPTOTIC BEHAVIOR OF THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN PARTIAL SPACE-PERIODIC DOMAINS |
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| Authors: | Zhengzi CAO;Huicheng YIN;Lin ZHANG;Lu ZHU |
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| Institution: | Zhengzi CAO;Huicheng YIN;Lin ZHANG;Lu ZHU;Department of Mathematics and IMS, Nanjing University;School of Mathematical Sciences, Nanjing Normal University;College of Science, Hohai University; |
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| Abstract: | In this article, 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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