学术报告报告题目：vortex sheets of inviscid liquid-gas two-phase flow
报 告 人：阮立志教授（华中师范大学）
报告时间：10月10日 （周六补周三的课） 下午15:30-16:30
报告地点：4号楼4318室
报告摘要：The vortex sheet solutions are considered for the inviscid liquid-gas two-phase flow. In particular, the linear stability of rectilinear vortex sheets in two spatial dimensions is established for both constant and variable coefficients. The linearized problem of vortex sheet solutions with constant coefficients is studied by means of Fourier analysis, normal mode analysis and Kreiss' symmetrizer, while the linear stability with variable coefficients is obtained by Bony-Meyer's paradifferential calculus theory. The linear stability is crucial to the existence of vortex sheet solutions of the nonlinear problem. A novel symmetrization and some weighted Sobolev norms are introduced to study the hyperbolic linearized problem with characteristic boundary. This work is joint with Prof. Dehua Wang, Dr. Shangkun Weng and Prof. Changjiang Zhu.
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数学学院
2015年10月10日