University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Free Boundary Problem related to Euler-Poisson system

Free Boundary Problem related to Euler-Poisson system

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One dimensional analysis of Euler-Poisson system shows that when incoming supersonic flow is fixed, transonic shock can be represented as a monotone function of exit pressure. From this observation, we expect well-posedness of transonic shock problem for Euler-Poisson system when exit pressure is prescribed in a proper range. In this talk, I will present recent progress on transonic shock problem for Euler-Poisson system, which is formulated as a free boundary problem with mixed type PDE system.

This talk is based on collaboration with Ben Duan, Chujing Xie and Jingjing Xiao.

This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.

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