Speaker: Dr. Lizhe Wan (BICMR)

Title: Low regularity well-posedness for two-dimensional hydroelastic waves

Time: 14:00-15:00  April 9, 2026 (Thursday)

Place: MCM410

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 $H^{s+\frac{3}{2}}\times H^s$ for $s> \frac{3}{4}$. This is based on the joint work with Jiaqi Yang.