报告题目：Low regularity well-posedness for two-dimensional hydroelastic waves

报 告 人：Jiaqi Yang (杨佳琦, Associate Professor@NWPU - Northwestern Polytechnical University)

报告时间：2026年7月2日（星期四）9:00—9:45

报告地点：数学科学学院114      

校内联系人：廖娴 教授       联系方式：84708351-8510

Abstract: The hydroelastic wave problem describes the interaction between elastic structures and hydrodynamic excitation. It is a free boundary problem in mathematical fluid mechanics and can be written as a quasilinear dispersive system of order 5/2. In this talk, I will talk about the low regularity local well-posedness of the two-dimensional deep hydroelastic waves. By constructing a cubic modified energy that incorporates a paradifferential weight chosen carefully, we prove that the hydroelastic waves are locally well-posed in $H^{s+3/2}\times H^{s}$ for $s>3/4$,  This is based on the joint work with Lizhe Wan.