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分析与微分方程研讨会

On the Free Boundary Problem of 3-D Full compressible Euler Equations Coupled with a Nonlinear Poisson Equation

Speaker

罗涛 , 香港城市大学

Time

20 Nov, 14:15 - 15:00

Abstract

For the problem of full compressible Euler Equations with variable entropy coupled with a nonlinear Poisson equation in three spatial dimensions with a general free boundary not restricting to a graph, we identify a stability condition for the electric potential of which the outer normal derivative is positive on the free surface besides the Taylor sign condition for the pressure to obtain a priori estimates on the Sobolev norms of the fluid variables and bounds for geometric quantities of free surface. This talk is based on a joint work with K. Trivisa and H. Zeng.