University of Cambridge > Talks.cam > Geometric Analysis & 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 & Partial Differential Equations seminar series.

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