Global existence and decay of strong solutions to the compressible Navier-Stokes-Poisson equations in bounded domains
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS(2023)
摘要
This paper concerns the global existence and decay rate of strong solutions to initial-boundary-value problem of the 3D compressible Navier-Stokes-Poisson equations. When the velocity admits slip boundary condition, it shows that strong solutions exist globally in time for small initial energy. The difficulties caused by Poisson term are overcome through uniform estimate of ||rho - 1||(L2(0,T;L2)) and time-weighted a prioriestimates. In particular, the initial density has large oscillations and allows vacuum states. As a byproduct, we do not need any initial compatibility conditions. (c) 2023 Elsevier Inc. All rights reserved.
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关键词
Global strong solution, Initial-boundary-value problem, Compressible Navier-Stokes-Poisson equations, Exponential decay rate
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