报告摘要:
| In the talk, we present the existence of two dimensional steady compressible Euler flows past a wall or a symmetric body. More precisely, given positive convex horizontal veloicty in the upstream, there exists a critical value ρcr such that if the incoming density in the upstream is larger than ρcr, then there exists a subsonic flow past a wall. The subsonic flows possess large vorticity and positive horizontal velocity above the wall except at the corner points on the boundary. Moreover, the existence of a two dimensional subsonic Euler flow past a symmetric body is also obtained when the incoming velocity field is a general small perturbation of a constant velocity field and the density of the incoming flow is larger than a critical value. This is a joint work with Professor Du, Professor Xie and Professor Xin.
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