广州数学大讲坛第八期
第七十六讲——大连理工大学代国伟教授学术报告
题目：Two new global bifurcation theorems and their applications
时间：2024年11月13日(星期三)下午14:00-16:30
地点：腾讯会议（会议ID：110-577-961）
报告人：代国伟 教授
摘要：In this topic, we introduce two new global bifurcation theorems: the unilateral global bifurcation theorem about Fredholm operator with index 1 and the analytic global bifurcation theorem. As their applications, we obtain the bifurcation structure for an overdetermined problem and the bifurcation structure for a nonlinear pseudodifferential equation, which describes the periodic traveling gravity waves at the free surface of water in a flow of constant vorticity over a flat bed. In particular, we show the existence of Stokes' highest wave.
