STABILITY OF GASEOUS STARS IN THE NON-ISENTROPIC CASE

doi:10.1016/S0252-9602(10)60130-0

Abstract

Abstract:

The motion of the self-gravitational gaseous stars can be described by the Euler-Poisson equations. The main purpose of this article is concerned with the nonlinear stability of gaseous stars in the non-isentropic case, when
4/3 < γ <2, S(x, t) is a smooth bounded function. First, we verify that the steady states are minimizers of the energy via concentration-compactness method; then using the variational approach we obtain the stability results of the non-isentropic flow.

Key words: Euler-Poisson equations, non-isentropic, stability

CLC Number:

35J60

Cite this article

DENG Yin-Bin, BA Na, XIE Hua-Chao. STABILITY OF GASEOUS STARS IN THE NON-ISENTROPIC CASE[J].Acta mathematica scientia,Series B, 2010, 30(4): 1347-1356.

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References

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