Local Well-posedness of the three dimensional compressible Euler--Poisson equations with physical vacuum

Xumin Gu; Zhen Lei

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arXiv · 1405.4612

Local Well-posedness of the three dimensional compressible Euler--Poisson equations with physical vacuum

Xumin Gu·Zhen Lei

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Abstract

This paper is concerned with the three dimensional compressible Euler--Poisson equations with moving physical vacuum boundary condition. This fluid system is usually used to describe the motion of a self-gravitating inviscid gaseous star. The local existence of classical solutions for initial data in certain weighted Sobolev spaces is established in the case that the adiabatic index satisfies $1 < \gamma < 3$.

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Xumin Gu, Zhen Lei. 2014-05-19. Local Well-posedness of the three dimensional compressible Euler--Poisson equations with physical vacuum. https://arxiv.org/abs/1405.4612

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