Well-posedness of Compressible Euler Equations

Time: 2026-11-11 Published By: He Liu

Speaker(s): Huali Zhang (Hunan University)

Time: 16:00-17:00 November 12, 2026

Venue: Room 78201, Jingchunyuan 78, BICMR

For the Cauchy problem of incompressible Euler equations, sharp regularity has been obtained to control the local existence of solutions. However, the sharp regularity problem for compressible Euler equations, especially with non-trivial vorticity and entropy remains open. In this talk, we present an approach leading to well-posedness results for the 3D compressible Euler equations with relaxed assumptions on the regularity of the vorticity. Moreover, our idea can also be extended to relativistic Euler equations. The part is a joint work with Prof. Lars Andersson.