腾讯会议 ID：902-967-192

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For the problem of the full compressible Euler Equations coupled with a nonlinear Poisson equation in three spatial dimensions with a general free boundary not restricting to a graph, we identify the stability condition on the electric potential and the pressure related the well-posedness of the problem. These stability conditions enable us to obtain a priori estimates on the Sobolev norms of the fluid variables and bounds for geometric quantities of free surface. The results obtained in this talk and the corresponding proofs apply to the free boundary problem of full Euler equations of compressible fluids with variable entropy. This talk is based on the joint work with Konstantina Trivisa, Huihui Zeng.