等熵可压Navier-Stokes-Poisson方程局部强解适定性

Abstract

Abstract:

In this paper, the authors prove the existence, uniqueness, stability of the local strong solutions for Navier-Stokes-Poisson equations in three dimensions. The important point is that they allow the initial vacuum: the initial density may vanish in a boundary and open subset. The local existence is gotten by the extended Gronwall's inequality, then the authors prove the uniqueness in weaker condition. Finally, from the proof of the uniquenss, the stability can be concluded naturally.

Key words: Local strong solutions, Navier-Stokes-Poisson equations, Existence, Uniqueness, Stability

CLC Number:

35A05

YIN Jun-Peng, TAN Zhong. Local Strong Solutions of Navier-Stokes-Poisson Equations for Isentropic Compressible Fluids[J].Acta mathematica scientia,Series A, 2009, 29(4): 985-1000.

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References

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Local Strong Solutions of Navier-Stokes-Poisson Equations for Isentropic Compressible Fluids

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