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Asymptotic stability of periodic solution for compressible viscous van der Waals fluids |
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| Authors: | Jin-yang Huang Xiao-ding Shi Xiao-ping Wang Bing Zhang |
| Affiliation: | 1. School of Science, Beijing University of Chemical Technology, Beijing, 100029, China 2. Department of Mathematics, Hong Kong University of Science and Technology, Hong Kong, China 3. School of Mechanical and Electrical Engineering, Beijing University of Chemical Technology, Beijing, 100029, China |
| Abstract: | This paper is concerned with the asymptotic stability of the periodic solution to a one-dimensional model system for the compressible viscous van der Waals fluid in Eulerian coordinates. If the initial density and initial momentum are suitably close to the average density and average momentum, then the solution is proved to tend toward a stationary solution as t→∞. |
| Keywords: | van der Waals fluid asymptotic stability global solution |
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