Asymptotic compactness of global trajectories generated by the Navier–Stokes–Poisson equations of a compressible fluid

Asymptotic compactness of global trajectories generated by the Navier–Stokes–Poisson equations of a compressible fluid
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DOI:
10.1007/s00030-009-0021-1
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发表时间:
2009-05
期刊:
Nonlinear Differential Equations and Applications NoDEA
影响因子:
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通讯作者:
F. Jiang;Zhong Tan;Qiaolian Yan
F. Jiang;Zhong Tan;Qiaolian Yan
中科院分区:
其他
文献类型:
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作者:
F. Jiang;Zhong Tan;Qiaolian Yan

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本文考虑了在有界区域上任意力作用下Navier-Stokes-Poisson方程弱解的整体性态。在证明了有界吸收集的存在性之后,我们还得到了由可压缩流体的Navier-Stokes-Poisson方程生成的全局轨迹的渐近紧性的结论。
In this paper, we consider the global behavior of weak solutions of Navier–Stokes–Poisson equations in time in a bounded domain–arbitrary forces. After proving the existence of bounded absorbing sets, we also obtain the conclusion on asymptotic compactness of global trajectories generated by the Navier–Stokes–Poisson equations of a compressible fluid.